From f3e7b0239514627e80d33b62f39f016b385e8a53 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Thu, 19 Jul 2018 11:49:07 -0400 Subject: [PATCH 1/5] Update Travis NPM key (again) --- .travis.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.travis.yml b/.travis.yml index f7f8b6e50a..c258d8aa29 100644 --- a/.travis.yml +++ b/.travis.yml @@ -12,6 +12,6 @@ deploy: provider: npm email: manager@mathjax.org api_key: - secure: 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 + secure: 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 on: tags: true From a54b17fe78309ce4c2785da41e4edbeff5bde33e Mon Sep 17 00:00:00 2001 From: Peter Krautzberger Date: Mon, 8 Oct 2018 12:24:27 +0200 Subject: [PATCH 2/5] Replace alt and title with aria-label on image tags Fixes #2065 --- unpacked/jax/output/SVG/autoload/mglyph.js | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/unpacked/jax/output/SVG/autoload/mglyph.js b/unpacked/jax/output/SVG/autoload/mglyph.js index f181cc7a6b..af816d74f3 100644 --- a/unpacked/jax/output/SVG/autoload/mglyph.js +++ b/unpacked/jax/output/SVG/autoload/mglyph.js @@ -4,19 +4,19 @@ /************************************************************* * * MathJax/jax/output/SVG/autoload/mglyph.js - * + * * Implements the SVG output for elements. * * --------------------------------------------------------------------- - * + * * Copyright (c) 2011-2018 The MathJax Consortium - * + * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at - * + * * http://www.apache.org/licenses/LICENSE-2.0 - * + * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. @@ -30,7 +30,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX, LOCALE = MathJax.Localization; - + var XLINKNS = "http://www.w3.org/1999/xlink"; BBOX.MGLYPH = BBOX.Subclass({ @@ -51,7 +51,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { this.d = this.D = -y; this.l = 0; } }); - + MML.mglyph.Augment({ toSVG: function (variant,scale) { this.SVGgetStyles(); var svg = this.SVG(), img, err; @@ -82,7 +82,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { } else { var mu = this.SVGgetMu(svg); svg.Add(BBOX.MGLYPH(this.img.img,values.width,values.height,values.valign,mu, - {alt:values.alt, title:values.alt})); + {'aria-label':values.alt})); } } svg.Clean(); @@ -98,9 +98,9 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { },{ GLYPH: {} // global list of all loaded glyphs }); - + MathJax.Hub.Startup.signal.Post("SVG mglyph Ready"); MathJax.Ajax.loadComplete(SVG.autoloadDir+"/mglyph.js"); - + }); From f8a3e34211e7c056d94b531d23ab6b7b8a331ae7 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Mon, 19 Aug 2019 17:04:00 -0400 Subject: [PATCH 3/5] Update latest.js to use v3 algorithm so it will work after v3.0 is released. --- unpacked/latest.js | 495 ++++++++++++++++++++++++++++++++------------- 1 file changed, 353 insertions(+), 142 deletions(-) diff --git a/unpacked/latest.js b/unpacked/latest.js index 1de3f28d3a..eaa1f9116b 100644 --- a/unpacked/latest.js +++ b/unpacked/latest.js @@ -1,21 +1,13 @@ /************************************************************* * - * latest.js - * - * Replacement for cdn.mathjax.org/mathjax/latest that loads the - * latest (2.x) version of MathJax from cdnjs, rawgit.com, or jsdelivr - * depending on where it was loaded from. - * - * --------------------------------------------------------------------- - * - * Copyright (c) 2017-2018 The MathJax Consortium - * + * Copyright (c) 2017-2019 The MathJax Consortium + * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at - * + * * http://www.apache.org/licenses/LICENSE-2.0 - * + * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. @@ -23,137 +15,356 @@ * limitations under the License. */ +/*=====================================================================*/ + (function () { - var CDN = { - 'cdnjs.cloudflare.com': { - api: 'https://api.cdnjs.com/libraries/mathjax?fields=version', - version: 'version', - mathjax: 'https://cdnjs.cloudflare.com/ajax/libs/mathjax/' - }, - - 'cdn.rawgit.com': { - api: 'https://api.github.com/repos/mathjax/mathjax/releases/latest', - version: 'tag_name', - mathjax: 'https://cdn.rawgit.com/mathjax/MathJax/' - }, - - 'cdn.jsdelivr.net': { - api: 'https://api.jsdelivr.com/v1/jsdelivr/libraries?name=mathjax&lastversion=*', - version: 'lastversion', - mathjax: 'https://cdn.jsdelivr.net/mathjax/' - } - }; - - function Error(message) { - if (console && console.log) console.log(message); - } - - function getScript() { - if (document.currentScript) return document.currentScript; - var scripts = document.getElementsByTagName("script"); - for (var i = 0, m = scripts.length; i < m; i++) { - var script = scripts[i]; - for (var cdn in CDN) {if (CDN.hasOwnProperty(cdn)) { - var url = CDN[cdn].mathjax; - if (script.src && script.src.substr(0,url.length) === url) return script; - }} - } - } - - function getCDN(script) { - if (!script) return; - var cdn = script.src.replace(/https:\/\//,'').replace(/[\/\?].*/,''); - return CDN[cdn]; - } - - var cookiePattern = /(?:^|;\s*)mjx\.latest=([^;]*)(?:;|$)/; - function getVersion() { - var match; - try {match = cookiePattern.exec(document.cookie)} catch (err) {} - if (match && match[1] !== '') return match[1]; - } - function setVersion(version) { - cookie = 'mjx.latest=' + version; - var time = new Date(); - time.setDate(time.getDate() + 7); - cookie += '; expires=' + time.toGMTString(); - cookie += '; path=/'; - try {document.cookie = cookie} catch (err) {} - } - - function getXMLHttpRequest() { - if (window.XMLHttpRequest) return new XMLHttpRequest(); - if (window.ActiveXObject) { - try {return new ActiveXObject("Msxml2.XMLHTTP")} catch (err) {} - try {return new ActiveXObject("Microsoft.XMLHTTP")} catch (err) {} - } - } - - function loadMathJax(url) { - var script = document.createElement('script'); - script.type = 'text/javascript'; - script.async = true; - script.src = url; - var head = document.head || document.getElementsByTagName('head')[0] || document.body; - if (head) { - head.appendChild(script); - } else { - Error("Can't find the document element"); - } - } - - function loadDefaultMathJax() { - var script = getScript(); - if (script) { - loadMathJax(script.src.replace(/\/latest\.js/, "/MathJax.js")); - } else { - Error("Can't determine the URL for loading MathJax"); - } - } - - function getLatestMathJax(cdn,config,unpacked) { - var request = getXMLHttpRequest(); - if (request) { - request.onreadystatechange = function() { - if (request.readyState === 4) { - if (request.status === 200) { - var json = JSON.parse(request.responseText); - if (json instanceof Array) json = json[0]; - var version = json[cdn.version]; - if (version.substr(0,2) === '2.') { - setVersion(version); - loadMathJax(cdn.mathjax + json[cdn.version] + unpacked + '/MathJax.js' + config); - return; - } - } else { - Error("Problem acquiring MathJax version: status = " + request.status); - } - loadDefaultMathJax(); - } - } - request.open('GET', cdn.api, true); - request.send(null); - } else { - Error("Can't create XMLHttpRequest object"); - loadDefaultMathJax(); - } - } - - var script = getScript(); - var cdn = getCDN(script); - if (cdn) { - var config = script.src.replace(/.*?(\?|$)/, "$1"); - config += (config ? '&' : '?') + 'latest'; - var unpacked = (script.src.match(/\/unpacked\/latest\.js/) ? "/unpacked" : ""); - var version = getVersion(); - if (version) { - loadMathJax(cdn.mathjax + version + unpacked + '/MathJax.js' + config); - } else { - getLatestMathJax(cdn, config, unpacked); - } - } else { - loadDefaultMathJax(); - } +/** + * The various CDNs and their data for how to obtain versions + */ +var CDN = { + 'cdnjs.cloudflare.com': { + api: 'https://api.cdnjs.com/libraries/mathjax?fields=version', + key: 'version', + base: 'https://cdnjs.cloudflare.com/ajax/libs/mathjax/' + }, + + 'rawcdn.githack.com': { + api: 'https://api.github.com/repos/mathjax/mathjax/releases/latest', + key: 'tag_name', + base: 'https://rawcdn.githack.com/mathjax/MathJax/' + }, + + 'gitcdn.xyz': { + api: 'https://api.github.com/repos/mathjax/mathjax/releases/latest', + key: 'tag_name', + base: 'https://gitcdn.xyz/mathjax/MathJax/' + }, + + 'cdn.statically.io': { + api: 'https://api.github.com/repos/mathjax/mathjax/releases/latest', + key: 'tag_name', + base: 'https://cdn.statically.io/gh/mathjax/MathJax/' + }, + + 'unpkg.com': { + api: 'https://api.github.com/repos/mathjax/mathjax/releases/latest', + key: 'tag_name', + base: 'https://unpkg.com/mathjax@' + }, + + 'cdn.jsdelivr.net': { + api: 'https://api.github.com/repos/mathjax/mathjax/releases/latest', + key: 'tag_name', + base: 'https://cdn.jsdelivr.net/npm/mathjax@' + } +}; + +/** + * The data for getting release versions from GitHub + */ +var GITHUB = { + api: 'https://api.github.com/repos/mathjax/mathjax/releases', + key: 'tag_name' +}; + +/** + * The major version number for MathJax (we will load the highest version with this initial number) + */ +var MJX_VERSION = 2; + +/** + * The name to use for the version in localStorage + */ +var MJX_LATEST = 'mjx-latest-version' + MJX_VERSION; + +/** + * The amount of time a cached version number is valid + */ +var SAVE_TIME = 1000 * 60 * 60 * 24 * 7; // one week + +/** + * Data for the script that loaded latest.js + */ +var script = null; + +/*=====================================================================*/ + +/** + * Produce an error message on the console + * + * @param {string} message The error message to display + */ +function Error(message) { + if (console && console.error) { + console.error('MathJax(latest.js): ' + message); + } +} + +/** + * Create a ScriptData object from the given script tag and CDN + * + * @param {HTMLScriptElement} script The script tag whose data is desired + * @param {CdnData} cdn The CDN data already obtained for the script (or null) + * @return {ScriptData} The data for the given script + */ +function scriptData(script, cdn) { + script.parentNode.removeChild(script); + var src = script.src; + var config = src.replace(/.*?\/latest\.js(\?|$)/, '$1'); + var data = (src.match(/(\d+\.\d+\.\d+)(\/unpacked)?\/latest.js\?/) || ['', '', '']); + return { + tag: script, + src: src, + id: script.id, + version: data[1], + unpacked: data[2] || '', + config: config, + cdn: cdn + }; +} + +/** + * Check if a script refers to MathJax on one of the CDNs + * + * @param {HTMLScriptElement} script The script tag to check + * @return {boolean} True if the script is from a MathJax CDN + */ +function checkScript(script) { + var CDNs = Object.keys(CDN); + for (var i = 0, m = CDNs.length; i < m; i++) { + var cdn = CDN[CDNs[i]]; + var url = cdn.base; + var src = script.src; + if (src && src.substr(0, url.length) === url && src.match(/\/latest\.js(\?|$)/)) { + return scriptData(script, cdn); + } + } + return null; +} + +/** + * @return {ScriptData} The data for the script tag that loaded latest.js + */ +function getScript() { + if (document.currentScript) { + return scriptData(document.currentScript); + } + var script = document.getElementById('MathJax-script'); + if (script && script.nodeName.toLowerCase() === 'script') { + return checkScript(script); + } + var scripts = document.getElementsByTagName('script'); + for (var i = 0, m = scripts.length; i < m; i++) { + var data = checkScript(scripts[i]); + if (data) { + return data; + } + } + return null; +} + +/*=====================================================================*/ + +/** + * Save the version and date information in localStorage so we don't + * have to contact the CDN for every page that uses MathJax. + * + * @param {string} version The version to save + */ +function saveVersion(version) { + try { + var data = version + ' ' + Date.now(); + localStorage.setItem(MJX_LATEST, data); + } catch (err) {} +} + +/** + * Get the version from localStorage, and make sure it is fresh enough to use + * + * @return {string|null} The version string (if one has been saved) or null (if not) + */ +function getSavedVersion() { + try { + var data = localStorage.getItem(MJX_LATEST).split(/ /); + var version = data[0], date = data[0]; + if (date && Date.now() - parseInt(date) < SAVE_TIME) { + return version; + } + } catch (err) {} + return null; +} + +/*=====================================================================*/ + +/** + * Create a script tag that loads the given URL + * + * @param {string} url The URL of the javascript file to be loaded + * @param {string} id The id to use for the script tag + */ +function loadMathJax(url, id) { + var script = document.createElement('script'); + script.type = 'text/javascript'; + script.async = true; + script.src = url; + if (id) { + script.id = id; + } + var head = document.head || document.getElementsByTagName('head')[0] || document.body; + if (head) { + head.appendChild(script); + } else { + Error('Can\'t find the document element'); + } +} + +/** + * When we can't find the current version, use the original URL but remove the "latest.js" + */ +function loadDefaultMathJax() { + if (script) { + loadMathJax(script.src.replace(/\/latest\.js/, '/MathJax.js'), script.id); + } else { + Error('Can\'t determine the URL for loading MathJax'); + } +} + +/** + * Load the given version using the base URL and file to load + * (if the versions differ, run latest.js from the new version + * in case there are important changes there) + * + * @param {string} version The version of MathJax to load from + */ +function loadVersion(version) { + var file = 'MathJax.js' + script.config; + if (script.version && script.version !== version) { + file = 'latest.js' + script.config; + } + loadMathJax(script.cdn.base + version + script.unpacked + '/' + file, script.id); +} + +/** + * Check if the given version is acceptable and load it if it is. + * + * @param {string} version The version to check if it is the latest (valid) one + * @return {boolean} True if it is the latest version, false if not + */ +function checkVersion(version) { + var major = parseInt(version.split(/\./)[0]); + if (major === MJX_VERSION && !version.match(/-(beta|rc)/)) { + saveVersion(version); + loadVersion(version); + return true; + } + return false; +} + +/*=====================================================================*/ + +/** + * Create an XMLHttpRequest object, if possible + * + * @return {XMLHttpRequest} The XMLHttpRequest instance + */ +function getXMLHttpRequest() { + if (window.XMLHttpRequest) { + return new XMLHttpRequest(); + } + if (window.ActiveXObject) { + try {return new window.ActiveXObject('Msxml2.XMLHTTP')} catch (err) {} + try {return new window.ActiveXObject('Microsoft.XMLHTTP')} catch (err) {} + } +} + +/** + * Request JSON data from a CDN. If it loads OK, call the action() function + * on the data. If not, or if the action returns false, run the failure() function. + * + * @param {CdnData} cdn The CDN whose API will be used + * @param {Function} action The function to perform when the data are received + * @param {Function} failure The function to perform if data can't be obtained, + * or if action() returns false + */ +function requestXML(cdn, action, failure) { + var request = getXMLHttpRequest(); + if (request) { + request.onreadystatechange = function () { + if (request.readyState === 4) { + if (request.status === 200) { + !action(JSON.parse(request.responseText)) && failure(); + } else { + Error('Problem acquiring MathJax version: status = ' + request.status); + failure(); + } + } + }; + request.open('GET', cdn.api, true); + request.send(null); + } else { + Error('Can\'t create XMLHttpRequest object'); + failure(); + } +} + +/** + * Look through the list of versions on GitHub and find the first one that + * has the MJX_VERSION as its major version number, and load that. If none + * is found, run the version from which latest.js was loaded. + */ +function loadLatestGitVersion() { + requestXML(GITHUB, function (json) { + if (!(json instanceof Array)) return; + for (var i = 0, m = json.length; i < m; i++) { + if (checkVersion(json[i][GITHUB.key])) { + return true; + } + } + return false; + }, loadDefaultMathJax); +} + +/** + * Check the CDN for its latest version, and load that, if it is an + * acceptable version, otherwise, (e.g., the current version has a + * higher major version that MJX_VERSION), find the highest version on + * GitHub with the given major version and use that. If one can't be + * found, use the version where latest.js was loaded. + */ +function loadLatestCdnVersion() { + requestXML(script.cdn, function (json) { + if (json instanceof Array) { + json = json[0]; + } + if (!checkVersion(json[script.cdn.key])) { + loadLatestGitVersion(); + } + return true; + }, loadDefaultMathJax); +} + +/*=====================================================================*/ + + +/* + * Find the script that loaded latest.js + * If the script is from a known CDN: + * Retrieve the cached version (if any) + * Load the given version of the file, if the version is cached, + * Otherwise find the latest version and load that. + * Otherwise, + * Load using the version where latest.js was loaded. + */ + + script = getScript(); + if (script && script.cdn) { + var version = getSavedVersion(); + version ? + loadVersion(version) : + loadLatestCdnVersion(); + } else { + loadDefaultMathJax(); + } })(); From 6d8ce8ddf77e5fb7cf3f22bd509cd42499850b46 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Wed, 21 Aug 2019 13:01:54 -0400 Subject: [PATCH 4/5] Update copyright and versions to 2.7.6 --- extensions/TeX/mhchem3/mhchem.js | 573 ++++++++---------- package.json | 2 +- test/examples.html | 2 +- test/index-images.html | 2 +- test/index.html | 2 +- test/localization.html | 2 +- test/sample-all-at-once.html | 2 +- test/sample-asciimath.html | 2 +- test/sample-autoload.html | 2 +- test/sample-dynamic-2.html | 2 +- test/sample-dynamic-steps.html | 2 +- test/sample-dynamic.html | 2 +- test/sample-eqnum.html | 2 +- test/sample-eqrefs.html | 2 +- test/sample-loader-config.html | 2 +- test/sample-loader.html | 2 +- test/sample-macros.html | 2 +- test/sample-mml.html | 2 +- test/sample-signals.html | 2 +- test/sample-tex.html | 2 +- test/sample.html | 2 +- unpacked/MathJax.js | 20 +- unpacked/config/AM_CHTML-full.js | 2 +- unpacked/config/AM_CHTML.js | 2 +- unpacked/config/AM_HTMLorMML-full.js | 2 +- unpacked/config/AM_HTMLorMML.js | 2 +- unpacked/config/AM_SVG-full.js | 2 +- unpacked/config/AM_SVG.js | 2 +- unpacked/config/Accessible-full.js | 2 +- unpacked/config/Accessible.js | 2 +- unpacked/config/MML_CHTML-full.js | 2 +- unpacked/config/MML_CHTML.js | 2 +- unpacked/config/MML_HTMLorMML-full.js | 2 +- unpacked/config/MML_HTMLorMML.js | 2 +- unpacked/config/MML_SVG-full.js | 2 +- unpacked/config/MML_SVG.js | 2 +- unpacked/config/MMLorHTML.js | 2 +- unpacked/config/Safe.js | 2 +- unpacked/config/TeX-AMS-MML_HTMLorMML-full.js | 2 +- unpacked/config/TeX-AMS-MML_HTMLorMML.js | 2 +- unpacked/config/TeX-AMS-MML_SVG-full.js | 2 +- unpacked/config/TeX-AMS-MML_SVG.js | 2 +- unpacked/config/TeX-AMS_CHTML-full.js | 2 +- unpacked/config/TeX-AMS_CHTML.js | 2 +- unpacked/config/TeX-AMS_HTML-full.js | 2 +- unpacked/config/TeX-AMS_HTML.js | 2 +- unpacked/config/TeX-AMS_SVG-full.js | 2 +- unpacked/config/TeX-AMS_SVG.js | 2 +- unpacked/config/TeX-MML-AM_CHTML-full.js | 2 +- unpacked/config/TeX-MML-AM_CHTML.js | 2 +- unpacked/config/TeX-MML-AM_HTMLorMML-full.js | 2 +- unpacked/config/TeX-MML-AM_HTMLorMML.js | 2 +- unpacked/config/TeX-MML-AM_SVG-full.js | 2 +- unpacked/config/TeX-MML-AM_SVG.js | 2 +- unpacked/config/default.js | 2 +- unpacked/config/local/local.js | 2 +- unpacked/extensions/AssistiveMML.js | 4 +- unpacked/extensions/CHTML-preview.js | 2 +- unpacked/extensions/FontWarnings.js | 4 +- unpacked/extensions/HTML-CSS/handle-floats.js | 4 +- unpacked/extensions/HelpDialog.js | 4 +- unpacked/extensions/MatchWebFonts.js | 4 +- unpacked/extensions/MathEvents.js | 4 +- unpacked/extensions/MathML/content-mathml.js | 4 +- unpacked/extensions/MathML/mml3.js | 4 +- unpacked/extensions/MathMenu.js | 4 +- unpacked/extensions/MathZoom.js | 4 +- unpacked/extensions/Safe.js | 4 +- unpacked/extensions/TeX/AMScd.js | 4 +- unpacked/extensions/TeX/AMSmath.js | 4 +- unpacked/extensions/TeX/AMSsymbols.js | 4 +- unpacked/extensions/TeX/HTML.js | 4 +- unpacked/extensions/TeX/action.js | 4 +- unpacked/extensions/TeX/autobold.js | 4 +- unpacked/extensions/TeX/autoload-all.js | 4 +- unpacked/extensions/TeX/bbox.js | 4 +- unpacked/extensions/TeX/begingroup.js | 4 +- unpacked/extensions/TeX/boldsymbol.js | 4 +- unpacked/extensions/TeX/cancel.js | 4 +- unpacked/extensions/TeX/color.js | 4 +- unpacked/extensions/TeX/enclose.js | 4 +- unpacked/extensions/TeX/extpfeil.js | 4 +- unpacked/extensions/TeX/mathchoice.js | 4 +- unpacked/extensions/TeX/mediawiki-texvc.js | 4 +- unpacked/extensions/TeX/mhchem.js | 4 +- unpacked/extensions/TeX/newcommand.js | 4 +- unpacked/extensions/TeX/noErrors.js | 4 +- unpacked/extensions/TeX/noUndefined.js | 4 +- unpacked/extensions/TeX/unicode.js | 4 +- unpacked/extensions/TeX/verb.js | 4 +- unpacked/extensions/asciimath2jax.js | 4 +- unpacked/extensions/fast-preview.js | 4 +- unpacked/extensions/jsMath2jax.js | 4 +- unpacked/extensions/mml2jax.js | 4 +- unpacked/extensions/tex2jax.js | 4 +- unpacked/extensions/toMathML.js | 4 +- unpacked/jax/element/mml/jax.js | 4 +- unpacked/jax/element/mml/optable/Arrows.js | 2 +- .../jax/element/mml/optable/BasicLatin.js | 2 +- .../element/mml/optable/CombDiacritMarks.js | 2 +- .../mml/optable/CombDiactForSymbols.js | 2 +- unpacked/jax/element/mml/optable/Dingbats.js | 2 +- .../element/mml/optable/GeneralPunctuation.js | 2 +- .../element/mml/optable/GeometricShapes.js | 2 +- .../jax/element/mml/optable/GreekAndCoptic.js | 2 +- .../element/mml/optable/Latin1Supplement.js | 2 +- .../element/mml/optable/LetterlikeSymbols.js | 2 +- .../jax/element/mml/optable/MathOperators.js | 2 +- .../element/mml/optable/MiscMathSymbolsA.js | 2 +- .../element/mml/optable/MiscMathSymbolsB.js | 2 +- .../mml/optable/MiscSymbolsAndArrows.js | 2 +- .../jax/element/mml/optable/MiscTechnical.js | 2 +- .../element/mml/optable/SpacingModLetters.js | 2 +- .../element/mml/optable/SuppMathOperators.js | 2 +- .../mml/optable/SupplementalArrowsA.js | 2 +- .../mml/optable/SupplementalArrowsB.js | 2 +- unpacked/jax/input/AsciiMath/config.js | 4 +- unpacked/jax/input/AsciiMath/jax.js | 2 +- unpacked/jax/input/MathML/config.js | 4 +- unpacked/jax/input/MathML/entities/a.js | 2 +- unpacked/jax/input/MathML/entities/b.js | 2 +- unpacked/jax/input/MathML/entities/c.js | 2 +- unpacked/jax/input/MathML/entities/d.js | 2 +- unpacked/jax/input/MathML/entities/e.js | 2 +- unpacked/jax/input/MathML/entities/f.js | 2 +- unpacked/jax/input/MathML/entities/fr.js | 2 +- unpacked/jax/input/MathML/entities/g.js | 2 +- unpacked/jax/input/MathML/entities/h.js | 2 +- unpacked/jax/input/MathML/entities/i.js | 2 +- unpacked/jax/input/MathML/entities/j.js | 2 +- unpacked/jax/input/MathML/entities/k.js | 2 +- unpacked/jax/input/MathML/entities/l.js | 2 +- unpacked/jax/input/MathML/entities/m.js | 2 +- unpacked/jax/input/MathML/entities/n.js | 2 +- unpacked/jax/input/MathML/entities/o.js | 2 +- unpacked/jax/input/MathML/entities/opf.js | 2 +- unpacked/jax/input/MathML/entities/p.js | 2 +- unpacked/jax/input/MathML/entities/q.js | 2 +- unpacked/jax/input/MathML/entities/r.js | 2 +- unpacked/jax/input/MathML/entities/s.js | 2 +- unpacked/jax/input/MathML/entities/scr.js | 2 +- unpacked/jax/input/MathML/entities/t.js | 2 +- unpacked/jax/input/MathML/entities/u.js | 2 +- unpacked/jax/input/MathML/entities/v.js | 2 +- unpacked/jax/input/MathML/entities/w.js | 2 +- unpacked/jax/input/MathML/entities/x.js | 2 +- unpacked/jax/input/MathML/entities/y.js | 2 +- unpacked/jax/input/MathML/entities/z.js | 2 +- unpacked/jax/input/MathML/jax.js | 2 +- unpacked/jax/input/TeX/config.js | 4 +- unpacked/jax/input/TeX/jax.js | 2 +- .../CommonHTML/autoload/annotation-xml.js | 4 +- .../jax/output/CommonHTML/autoload/maction.js | 4 +- .../output/CommonHTML/autoload/menclose.js | 4 +- .../jax/output/CommonHTML/autoload/mglyph.js | 4 +- .../CommonHTML/autoload/mmultiscripts.js | 4 +- unpacked/jax/output/CommonHTML/autoload/ms.js | 4 +- .../jax/output/CommonHTML/autoload/mtable.js | 4 +- .../output/CommonHTML/autoload/multiline.js | 4 +- unpacked/jax/output/CommonHTML/config.js | 4 +- .../CommonHTML/fonts/TeX/AMS-Regular.js | 2 +- .../CommonHTML/fonts/TeX/Caligraphic-Bold.js | 2 +- .../CommonHTML/fonts/TeX/Fraktur-Bold.js | 2 +- .../CommonHTML/fonts/TeX/Fraktur-Regular.js | 2 +- .../output/CommonHTML/fonts/TeX/Main-Bold.js | 2 +- .../CommonHTML/fonts/TeX/Math-BoldItalic.js | 2 +- .../CommonHTML/fonts/TeX/SansSerif-Bold.js | 2 +- .../CommonHTML/fonts/TeX/SansSerif-Italic.js | 2 +- .../CommonHTML/fonts/TeX/SansSerif-Regular.js | 2 +- .../CommonHTML/fonts/TeX/Script-Regular.js | 2 +- .../fonts/TeX/Typewriter-Regular.js | 2 +- .../CommonHTML/fonts/TeX/fontdata-extra.js | 4 +- .../output/CommonHTML/fonts/TeX/fontdata.js | 4 +- unpacked/jax/output/CommonHTML/jax.js | 2 +- .../HTML-CSS/autoload/annotation-xml.js | 4 +- .../jax/output/HTML-CSS/autoload/maction.js | 4 +- .../jax/output/HTML-CSS/autoload/menclose.js | 4 +- .../jax/output/HTML-CSS/autoload/mglyph.js | 4 +- .../output/HTML-CSS/autoload/mmultiscripts.js | 4 +- unpacked/jax/output/HTML-CSS/autoload/ms.js | 4 +- .../jax/output/HTML-CSS/autoload/mtable.js | 4 +- .../jax/output/HTML-CSS/autoload/multiline.js | 4 +- unpacked/jax/output/HTML-CSS/config.js | 4 +- .../Asana-Math/Alphabets/Regular/Main.js | 2 +- .../fonts/Asana-Math/Arrows/Regular/Main.js | 2 +- .../Asana-Math/DoubleStruck/Regular/Main.js | 2 +- .../fonts/Asana-Math/Fraktur/Regular/Main.js | 2 +- .../fonts/Asana-Math/Latin/Regular/Main.js | 2 +- .../fonts/Asana-Math/Main/Regular/Main.js | 2 +- .../fonts/Asana-Math/Marks/Regular/Main.js | 2 +- .../fonts/Asana-Math/Misc/Regular/Main.js | 2 +- .../Asana-Math/Monospace/Regular/Main.js | 2 +- .../Asana-Math/NonUnicode/Regular/Main.js | 2 +- .../fonts/Asana-Math/Normal/Regular/Main.js | 2 +- .../Asana-Math/Operators/Regular/Main.js | 2 +- .../Asana-Math/SansSerif/Regular/Main.js | 2 +- .../fonts/Asana-Math/Script/Regular/Main.js | 2 +- .../fonts/Asana-Math/Shapes/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size1/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size2/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size3/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size4/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size5/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size6/Regular/Main.js | 2 +- .../fonts/Asana-Math/Symbols/Regular/Main.js | 2 +- .../fonts/Asana-Math/Variants/Regular/Main.js | 2 +- .../fonts/Asana-Math/fontdata-extra.js | 4 +- .../HTML-CSS/fonts/Asana-Math/fontdata.js | 4 +- .../Gyre-Pagella/Alphabets/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Arrows/Regular/Main.js | 2 +- .../Gyre-Pagella/DoubleStruck/Regular/Main.js | 2 +- .../Gyre-Pagella/Fraktur/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Latin/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Main/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Marks/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Misc/Regular/Main.js | 2 +- .../Gyre-Pagella/Monospace/Regular/Main.js | 2 +- .../Gyre-Pagella/NonUnicode/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Normal/Regular/Main.js | 2 +- .../Gyre-Pagella/Operators/Regular/Main.js | 2 +- .../Gyre-Pagella/SansSerif/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Script/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Shapes/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size1/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size2/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size3/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size4/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size5/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size6/Regular/Main.js | 2 +- .../Gyre-Pagella/Symbols/Regular/Main.js | 2 +- .../Gyre-Pagella/Variants/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/fontdata-extra.js | 4 +- .../HTML-CSS/fonts/Gyre-Pagella/fontdata.js | 4 +- .../Gyre-Termes/Alphabets/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Arrows/Regular/Main.js | 2 +- .../Gyre-Termes/DoubleStruck/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Fraktur/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Latin/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Main/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Marks/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Misc/Regular/Main.js | 2 +- .../Gyre-Termes/Monospace/Regular/Main.js | 2 +- .../Gyre-Termes/NonUnicode/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Normal/Regular/Main.js | 2 +- .../Gyre-Termes/Operators/Regular/Main.js | 2 +- .../Gyre-Termes/SansSerif/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Script/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Shapes/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size1/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size2/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size3/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size4/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size5/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size6/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Symbols/Regular/Main.js | 2 +- .../Gyre-Termes/Variants/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/fontdata-extra.js | 4 +- .../HTML-CSS/fonts/Gyre-Termes/fontdata.js | 4 +- .../Latin-Modern/Alphabets/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Arrows/Regular/Main.js | 2 +- .../Latin-Modern/DoubleStruck/Regular/Main.js | 2 +- .../Latin-Modern/Fraktur/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Latin/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Main/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Marks/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Misc/Regular/Main.js | 2 +- .../Latin-Modern/Monospace/Regular/Main.js | 2 +- .../Latin-Modern/NonUnicode/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Normal/Regular/Main.js | 2 +- .../Latin-Modern/Operators/Regular/Main.js | 2 +- .../Latin-Modern/SansSerif/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Script/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Shapes/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size1/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size2/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size3/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size4/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size5/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size6/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size7/Regular/Main.js | 2 +- .../Latin-Modern/Symbols/Regular/Main.js | 2 +- .../Latin-Modern/Variants/Regular/Main.js | 2 +- .../fonts/Latin-Modern/fontdata-extra.js | 4 +- .../HTML-CSS/fonts/Latin-Modern/fontdata.js | 4 +- .../fonts/Neo-Euler/Alphabets/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Arrows/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Fraktur/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Main/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Marks/Regular/Main.js | 2 +- .../Neo-Euler/NonUnicode/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Normal/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Operators/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Script/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Shapes/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Size1/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Size2/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Size3/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Size4/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Size5/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Symbols/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Variants/Regular/Main.js | 2 +- .../fonts/Neo-Euler/fontdata-extra.js | 4 +- .../HTML-CSS/fonts/Neo-Euler/fontdata.js | 4 +- .../fonts/STIX-Web/Alphabets/Bold/Main.js | 2 +- .../STIX-Web/Alphabets/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Alphabets/Italic/Main.js | 2 +- .../fonts/STIX-Web/Alphabets/Regular/Main.js | 2 +- .../fonts/STIX-Web/Arrows/Bold/Main.js | 2 +- .../fonts/STIX-Web/Arrows/Regular/Main.js | 2 +- .../fonts/STIX-Web/DoubleStruck/Bold/Main.js | 2 +- .../STIX-Web/DoubleStruck/BoldItalic/Main.js | 2 +- .../STIX-Web/DoubleStruck/Italic/Main.js | 2 +- .../STIX-Web/DoubleStruck/Regular/Main.js | 2 +- .../fonts/STIX-Web/Fraktur/Bold/Main.js | 2 +- .../fonts/STIX-Web/Fraktur/Regular/Main.js | 2 +- .../fonts/STIX-Web/Latin/Bold/Main.js | 2 +- .../fonts/STIX-Web/Latin/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Latin/Italic/Main.js | 2 +- .../fonts/STIX-Web/Latin/Regular/Main.js | 2 +- .../HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js | 2 +- .../fonts/STIX-Web/Main/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Main/Italic/Main.js | 2 +- .../fonts/STIX-Web/Main/Regular/Main.js | 2 +- .../fonts/STIX-Web/Marks/Bold/Main.js | 2 +- .../fonts/STIX-Web/Marks/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Marks/Italic/Main.js | 2 +- .../fonts/STIX-Web/Marks/Regular/Main.js | 2 +- .../HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js | 2 +- .../fonts/STIX-Web/Misc/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Misc/Italic/Main.js | 2 +- .../fonts/STIX-Web/Misc/Regular/Main.js | 2 +- .../fonts/STIX-Web/Monospace/Regular/Main.js | 2 +- .../fonts/STIX-Web/Normal/Bold/Main.js | 2 +- .../fonts/STIX-Web/Normal/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Normal/Italic/Main.js | 2 +- .../fonts/STIX-Web/Operators/Bold/Main.js | 2 +- .../fonts/STIX-Web/Operators/Regular/Main.js | 2 +- .../fonts/STIX-Web/SansSerif/Bold/Main.js | 2 +- .../STIX-Web/SansSerif/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/SansSerif/Italic/Main.js | 2 +- .../fonts/STIX-Web/SansSerif/Regular/Main.js | 2 +- .../fonts/STIX-Web/Script/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Script/Italic/Main.js | 2 +- .../fonts/STIX-Web/Script/Regular/Main.js | 2 +- .../fonts/STIX-Web/Shapes/Bold/Main.js | 2 +- .../fonts/STIX-Web/Shapes/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Shapes/Regular/Main.js | 2 +- .../fonts/STIX-Web/Size1/Regular/Main.js | 2 +- .../fonts/STIX-Web/Size2/Regular/Main.js | 2 +- .../fonts/STIX-Web/Size3/Regular/Main.js | 2 +- .../fonts/STIX-Web/Size4/Regular/Main.js | 2 +- .../fonts/STIX-Web/Size5/Regular/Main.js | 2 +- .../fonts/STIX-Web/Symbols/Bold/Main.js | 2 +- .../fonts/STIX-Web/Symbols/Regular/Main.js | 2 +- .../fonts/STIX-Web/Variants/Bold/Main.js | 2 +- .../STIX-Web/Variants/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Variants/Italic/Main.js | 2 +- .../fonts/STIX-Web/Variants/Regular/Main.js | 2 +- .../HTML-CSS/fonts/STIX-Web/fontdata-extra.js | 4 +- .../HTML-CSS/fonts/STIX-Web/fontdata.js | 4 +- .../STIX/General/Bold/AlphaPresentForms.js | 2 +- .../fonts/STIX/General/Bold/Arrows.js | 2 +- .../fonts/STIX/General/Bold/BBBold.js | 2 +- .../fonts/STIX/General/Bold/BoldFraktur.js | 2 +- .../fonts/STIX/General/Bold/BoxDrawing.js | 2 +- .../STIX/General/Bold/CombDiacritMarks.js | 2 +- .../STIX/General/Bold/CombDiactForSymbols.js | 2 +- .../STIX/General/Bold/ControlPictures.js | 2 +- .../STIX/General/Bold/CurrencySymbols.js | 2 +- .../fonts/STIX/General/Bold/Cyrillic.js | 2 +- .../STIX/General/Bold/EnclosedAlphanum.js | 2 +- .../STIX/General/Bold/GeneralPunctuation.js | 2 +- .../STIX/General/Bold/GeometricShapes.js | 2 +- .../fonts/STIX/General/Bold/GreekAndCoptic.js | 2 +- .../fonts/STIX/General/Bold/GreekBold.js | 2 +- .../fonts/STIX/General/Bold/GreekSSBold.js | 2 +- .../fonts/STIX/General/Bold/IPAExtensions.js | 2 +- .../STIX/General/Bold/Latin1Supplement.js | 2 +- .../fonts/STIX/General/Bold/LatinExtendedA.js | 2 +- .../General/Bold/LatinExtendedAdditional.js | 2 +- .../fonts/STIX/General/Bold/LatinExtendedB.js | 2 +- .../fonts/STIX/General/Bold/LatinExtendedD.js | 2 +- .../STIX/General/Bold/LetterlikeSymbols.js | 2 +- .../HTML-CSS/fonts/STIX/General/Bold/Main.js | 2 +- .../fonts/STIX/General/Bold/MathBold.js | 2 +- .../fonts/STIX/General/Bold/MathOperators.js | 2 +- .../fonts/STIX/General/Bold/MathSSBold.js | 2 +- .../STIX/General/Bold/MiscMathSymbolsA.js | 2 +- .../STIX/General/Bold/MiscMathSymbolsB.js | 2 +- .../fonts/STIX/General/Bold/MiscSymbols.js | 2 +- .../fonts/STIX/General/Bold/MiscTechnical.js | 2 +- .../fonts/STIX/General/Bold/NumberForms.js | 2 +- .../STIX/General/Bold/PhoneticExtensions.js | 2 +- .../STIX/General/Bold/SpacingModLetters.js | 2 +- .../STIX/General/Bold/SuperAndSubscripts.js | 2 +- .../STIX/General/Bold/SuppMathOperators.js | 2 +- .../General/BoldItalic/AlphaPresentForms.js | 2 +- .../STIX/General/BoldItalic/BasicLatin.js | 2 +- .../STIX/General/BoldItalic/BoxDrawing.js | 2 +- .../General/BoldItalic/CombDiactForSymbols.js | 2 +- .../General/BoldItalic/ControlPictures.js | 2 +- .../General/BoldItalic/CurrencySymbols.js | 2 +- .../fonts/STIX/General/BoldItalic/Cyrillic.js | 2 +- .../General/BoldItalic/EnclosedAlphanum.js | 2 +- .../General/BoldItalic/GeneralPunctuation.js | 2 +- .../STIX/General/BoldItalic/GreekAndCoptic.js | 2 +- .../General/BoldItalic/GreekBoldItalic.js | 2 +- .../General/BoldItalic/GreekSSBoldItalic.js | 2 +- .../STIX/General/BoldItalic/IPAExtensions.js | 2 +- .../General/BoldItalic/Latin1Supplement.js | 2 +- .../STIX/General/BoldItalic/LatinExtendedA.js | 2 +- .../BoldItalic/LatinExtendedAdditional.js | 2 +- .../STIX/General/BoldItalic/LatinExtendedB.js | 2 +- .../General/BoldItalic/LetterlikeSymbols.js | 2 +- .../fonts/STIX/General/BoldItalic/Main.js | 2 +- .../STIX/General/BoldItalic/MathBoldItalic.js | 2 +- .../STIX/General/BoldItalic/MathBoldScript.js | 2 +- .../STIX/General/BoldItalic/MathOperators.js | 2 +- .../General/BoldItalic/MathSSItalicBold.js | 2 +- .../General/BoldItalic/SpacingModLetters.js | 2 +- .../STIX/General/Italic/AlphaPresentForms.js | 2 +- .../fonts/STIX/General/Italic/BoxDrawing.js | 2 +- .../General/Italic/CombDiactForSymbols.js | 2 +- .../STIX/General/Italic/ControlPictures.js | 2 +- .../STIX/General/Italic/CurrencySymbols.js | 2 +- .../fonts/STIX/General/Italic/Cyrillic.js | 2 +- .../STIX/General/Italic/EnclosedAlphanum.js | 2 +- .../STIX/General/Italic/GeneralPunctuation.js | 2 +- .../STIX/General/Italic/GreekAndCoptic.js | 2 +- .../fonts/STIX/General/Italic/GreekItalic.js | 2 +- .../STIX/General/Italic/IPAExtensions.js | 2 +- .../STIX/General/Italic/Latin1Supplement.js | 2 +- .../STIX/General/Italic/LatinExtendedA.js | 2 +- .../General/Italic/LatinExtendedAdditional.js | 2 +- .../STIX/General/Italic/LatinExtendedB.js | 2 +- .../STIX/General/Italic/LetterlikeSymbols.js | 2 +- .../fonts/STIX/General/Italic/Main.js | 2 +- .../fonts/STIX/General/Italic/MathItalic.js | 2 +- .../STIX/General/Italic/MathOperators.js | 2 +- .../fonts/STIX/General/Italic/MathSSItalic.js | 2 +- .../fonts/STIX/General/Italic/MathScript.js | 2 +- .../STIX/General/Italic/SpacingModLetters.js | 2 +- .../HTML-CSS/fonts/STIX/General/Italic/ij.js | 2 +- .../STIX/General/Regular/AlphaPresentForms.js | 2 +- .../fonts/STIX/General/Regular/Arrows.js | 2 +- .../fonts/STIX/General/Regular/BBBold.js | 2 +- .../STIX/General/Regular/BlockElements.js | 2 +- .../fonts/STIX/General/Regular/BoldFraktur.js | 2 +- .../fonts/STIX/General/Regular/BoxDrawing.js | 2 +- .../fonts/STIX/General/Regular/CJK.js | 2 +- .../STIX/General/Regular/CombDiacritMarks.js | 2 +- .../General/Regular/CombDiactForSymbols.js | 2 +- .../STIX/General/Regular/ControlPictures.js | 2 +- .../STIX/General/Regular/CurrencySymbols.js | 2 +- .../fonts/STIX/General/Regular/Cyrillic.js | 2 +- .../fonts/STIX/General/Regular/Dingbats.js | 2 +- .../STIX/General/Regular/EnclosedAlphanum.js | 2 +- .../fonts/STIX/General/Regular/Fraktur.js | 2 +- .../General/Regular/GeneralPunctuation.js | 2 +- .../STIX/General/Regular/GeometricShapes.js | 2 +- .../STIX/General/Regular/GreekAndCoptic.js | 2 +- .../fonts/STIX/General/Regular/GreekBold.js | 2 +- .../STIX/General/Regular/GreekBoldItalic.js | 2 +- .../fonts/STIX/General/Regular/GreekItalic.js | 2 +- .../fonts/STIX/General/Regular/GreekSSBold.js | 2 +- .../STIX/General/Regular/GreekSSBoldItalic.js | 2 +- .../fonts/STIX/General/Regular/Hiragana.js | 2 +- .../STIX/General/Regular/IPAExtensions.js | 2 +- .../STIX/General/Regular/Latin1Supplement.js | 2 +- .../STIX/General/Regular/LatinExtendedA.js | 2 +- .../Regular/LatinExtendedAdditional.js | 2 +- .../STIX/General/Regular/LatinExtendedB.js | 2 +- .../STIX/General/Regular/LatinExtendedD.js | 2 +- .../STIX/General/Regular/LetterlikeSymbols.js | 2 +- .../fonts/STIX/General/Regular/Main.js | 2 +- .../fonts/STIX/General/Regular/MathBold.js | 2 +- .../STIX/General/Regular/MathBoldItalic.js | 2 +- .../STIX/General/Regular/MathBoldScript.js | 2 +- .../fonts/STIX/General/Regular/MathItalic.js | 2 +- .../STIX/General/Regular/MathOperators.js | 2 +- .../fonts/STIX/General/Regular/MathSS.js | 2 +- .../fonts/STIX/General/Regular/MathSSBold.js | 2 +- .../STIX/General/Regular/MathSSItalic.js | 2 +- .../STIX/General/Regular/MathSSItalicBold.js | 2 +- .../fonts/STIX/General/Regular/MathScript.js | 2 +- .../fonts/STIX/General/Regular/MathTT.js | 2 +- .../STIX/General/Regular/MiscMathSymbolsA.js | 2 +- .../STIX/General/Regular/MiscMathSymbolsB.js | 2 +- .../fonts/STIX/General/Regular/MiscSymbols.js | 2 +- .../General/Regular/MiscSymbolsAndArrows.js | 2 +- .../STIX/General/Regular/MiscTechnical.js | 2 +- .../fonts/STIX/General/Regular/NumberForms.js | 2 +- .../General/Regular/PhoneticExtensions.js | 2 +- .../STIX/General/Regular/SpacingModLetters.js | 2 +- .../fonts/STIX/General/Regular/Specials.js | 2 +- .../General/Regular/SuperAndSubscripts.js | 2 +- .../STIX/General/Regular/SuppMathOperators.js | 2 +- .../General/Regular/SupplementalArrowsA.js | 2 +- .../General/Regular/SupplementalArrowsB.js | 2 +- .../HTML-CSS/fonts/STIX/General/Regular/ij.js | 2 +- .../fonts/STIX/IntegralsD/Bold/All.js | 2 +- .../fonts/STIX/IntegralsD/Regular/All.js | 2 +- .../fonts/STIX/IntegralsD/Regular/Main.js | 2 +- .../fonts/STIX/IntegralsSm/Bold/All.js | 2 +- .../fonts/STIX/IntegralsSm/Regular/All.js | 2 +- .../fonts/STIX/IntegralsSm/Regular/Main.js | 2 +- .../fonts/STIX/IntegralsUp/Bold/All.js | 2 +- .../fonts/STIX/IntegralsUp/Regular/All.js | 2 +- .../fonts/STIX/IntegralsUp/Regular/Main.js | 2 +- .../fonts/STIX/IntegralsUpD/Bold/All.js | 2 +- .../fonts/STIX/IntegralsUpD/Regular/All.js | 2 +- .../fonts/STIX/IntegralsUpD/Regular/Main.js | 2 +- .../fonts/STIX/IntegralsUpSm/Bold/All.js | 2 +- .../fonts/STIX/IntegralsUpSm/Regular/All.js | 2 +- .../fonts/STIX/IntegralsUpSm/Regular/Main.js | 2 +- .../fonts/STIX/NonUnicode/Bold/All.js | 2 +- .../fonts/STIX/NonUnicode/Bold/Main.js | 2 +- .../fonts/STIX/NonUnicode/Bold/PrivateUse.js | 2 +- .../fonts/STIX/NonUnicode/BoldItalic/All.js | 2 +- .../fonts/STIX/NonUnicode/BoldItalic/Main.js | 2 +- .../STIX/NonUnicode/BoldItalic/PrivateUse.js | 2 +- .../fonts/STIX/NonUnicode/Italic/All.js | 2 +- .../fonts/STIX/NonUnicode/Italic/Main.js | 2 +- .../STIX/NonUnicode/Italic/PrivateUse.js | 2 +- .../fonts/STIX/NonUnicode/Regular/All.js | 2 +- .../fonts/STIX/NonUnicode/Regular/Main.js | 2 +- .../STIX/NonUnicode/Regular/PrivateUse.js | 2 +- .../fonts/STIX/SizeFiveSym/Regular/All.js | 2 +- .../fonts/STIX/SizeFiveSym/Regular/Main.js | 2 +- .../fonts/STIX/SizeFourSym/Bold/Main.js | 2 +- .../fonts/STIX/SizeFourSym/Regular/All.js | 2 +- .../fonts/STIX/SizeFourSym/Regular/Main.js | 2 +- .../fonts/STIX/SizeOneSym/Bold/All.js | 2 +- .../fonts/STIX/SizeOneSym/Bold/Main.js | 2 +- .../fonts/STIX/SizeOneSym/Regular/All.js | 2 +- .../fonts/STIX/SizeOneSym/Regular/Main.js | 2 +- .../fonts/STIX/SizeThreeSym/Bold/Main.js | 2 +- .../fonts/STIX/SizeThreeSym/Regular/All.js | 2 +- .../fonts/STIX/SizeThreeSym/Regular/Main.js | 2 +- .../fonts/STIX/SizeTwoSym/Bold/Main.js | 2 +- .../fonts/STIX/SizeTwoSym/Regular/All.js | 2 +- .../fonts/STIX/SizeTwoSym/Regular/Main.js | 2 +- .../HTML-CSS/fonts/STIX/Variants/Bold/All.js | 2 +- .../HTML-CSS/fonts/STIX/Variants/Bold/Main.js | 2 +- .../fonts/STIX/Variants/Regular/All.js | 2 +- .../fonts/STIX/Variants/Regular/Main.js | 2 +- .../HTML-CSS/fonts/STIX/fontdata-1.0.js | 2 +- .../HTML-CSS/fonts/STIX/fontdata-beta.js | 2 +- .../HTML-CSS/fonts/STIX/fontdata-extra.js | 4 +- .../output/HTML-CSS/fonts/STIX/fontdata.js | 4 +- .../HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js | 2 +- .../HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js | 2 +- .../fonts/TeX/AMS/Regular/BoxDrawing.js | 2 +- .../fonts/TeX/AMS/Regular/CombDiacritMarks.js | 2 +- .../fonts/TeX/AMS/Regular/Dingbats.js | 2 +- .../fonts/TeX/AMS/Regular/EnclosedAlphanum.js | 2 +- .../TeX/AMS/Regular/GeneralPunctuation.js | 2 +- .../fonts/TeX/AMS/Regular/GeometricShapes.js | 2 +- .../fonts/TeX/AMS/Regular/GreekAndCoptic.js | 2 +- .../fonts/TeX/AMS/Regular/Latin1Supplement.js | 2 +- .../fonts/TeX/AMS/Regular/LatinExtendedA.js | 2 +- .../TeX/AMS/Regular/LetterlikeSymbols.js | 2 +- .../HTML-CSS/fonts/TeX/AMS/Regular/Main.js | 2 +- .../fonts/TeX/AMS/Regular/MathOperators.js | 2 +- .../fonts/TeX/AMS/Regular/MiscMathSymbolsB.js | 2 +- .../fonts/TeX/AMS/Regular/MiscSymbols.js | 2 +- .../fonts/TeX/AMS/Regular/MiscTechnical.js | 2 +- .../HTML-CSS/fonts/TeX/AMS/Regular/PUA.js | 2 +- .../TeX/AMS/Regular/SpacingModLetters.js | 2 +- .../TeX/AMS/Regular/SuppMathOperators.js | 2 +- .../fonts/TeX/Caligraphic/Bold/Main.js | 2 +- .../fonts/TeX/Caligraphic/Regular/Main.js | 2 +- .../fonts/TeX/Fraktur/Bold/BasicLatin.js | 2 +- .../HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js | 2 +- .../HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js | 2 +- .../fonts/TeX/Fraktur/Regular/BasicLatin.js | 2 +- .../fonts/TeX/Fraktur/Regular/Main.js | 2 +- .../fonts/TeX/Fraktur/Regular/Other.js | 2 +- .../HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js | 2 +- .../HTML-CSS/fonts/TeX/Greek/Bold/Main.js | 2 +- .../fonts/TeX/Greek/BoldItalic/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Greek/Italic/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Greek/Regular/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Main/Bold/Arrows.js | 2 +- .../fonts/TeX/Main/Bold/CombDiacritMarks.js | 2 +- .../TeX/Main/Bold/CombDiactForSymbols.js | 2 +- .../fonts/TeX/Main/Bold/GeneralPunctuation.js | 2 +- .../fonts/TeX/Main/Bold/GeometricShapes.js | 2 +- .../fonts/TeX/Main/Bold/Latin1Supplement.js | 2 +- .../fonts/TeX/Main/Bold/LatinExtendedA.js | 2 +- .../fonts/TeX/Main/Bold/LatinExtendedB.js | 2 +- .../fonts/TeX/Main/Bold/LetterlikeSymbols.js | 2 +- .../HTML-CSS/fonts/TeX/Main/Bold/Main.js | 2 +- .../fonts/TeX/Main/Bold/MathOperators.js | 2 +- .../fonts/TeX/Main/Bold/MiscMathSymbolsA.js | 2 +- .../fonts/TeX/Main/Bold/MiscSymbols.js | 2 +- .../fonts/TeX/Main/Bold/MiscTechnical.js | 2 +- .../fonts/TeX/Main/Bold/SpacingModLetters.js | 2 +- .../fonts/TeX/Main/Bold/SuppMathOperators.js | 2 +- .../TeX/Main/Bold/SupplementalArrowsA.js | 2 +- .../fonts/TeX/Main/Italic/CombDiacritMarks.js | 2 +- .../TeX/Main/Italic/GeneralPunctuation.js | 2 +- .../fonts/TeX/Main/Italic/Latin1Supplement.js | 2 +- .../TeX/Main/Italic/LetterlikeSymbols.js | 2 +- .../HTML-CSS/fonts/TeX/Main/Italic/Main.js | 2 +- .../TeX/Main/Regular/CombDiacritMarks.js | 2 +- .../fonts/TeX/Main/Regular/GeometricShapes.js | 2 +- .../HTML-CSS/fonts/TeX/Main/Regular/Main.js | 2 +- .../fonts/TeX/Main/Regular/MiscSymbols.js | 2 +- .../TeX/Main/Regular/SpacingModLetters.js | 2 +- .../fonts/TeX/Math/BoldItalic/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Math/Italic/Main.js | 2 +- .../fonts/TeX/SansSerif/Bold/BasicLatin.js | 2 +- .../TeX/SansSerif/Bold/CombDiacritMarks.js | 2 +- .../HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js | 2 +- .../fonts/TeX/SansSerif/Bold/Other.js | 2 +- .../fonts/TeX/SansSerif/Italic/BasicLatin.js | 2 +- .../TeX/SansSerif/Italic/CombDiacritMarks.js | 2 +- .../fonts/TeX/SansSerif/Italic/Main.js | 2 +- .../fonts/TeX/SansSerif/Italic/Other.js | 2 +- .../fonts/TeX/SansSerif/Regular/BasicLatin.js | 2 +- .../TeX/SansSerif/Regular/CombDiacritMarks.js | 2 +- .../fonts/TeX/SansSerif/Regular/Main.js | 2 +- .../fonts/TeX/SansSerif/Regular/Other.js | 2 +- .../fonts/TeX/Script/Regular/BasicLatin.js | 2 +- .../HTML-CSS/fonts/TeX/Script/Regular/Main.js | 2 +- .../fonts/TeX/Script/Regular/Other.js | 2 +- .../HTML-CSS/fonts/TeX/Size1/Regular/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Size2/Regular/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Size3/Regular/Main.js | 2 +- .../HTML-CSS/fonts/TeX/Size4/Regular/Main.js | 2 +- .../TeX/Typewriter/Regular/BasicLatin.js | 2 +- .../Typewriter/Regular/CombDiacritMarks.js | 2 +- .../fonts/TeX/Typewriter/Regular/Main.js | 2 +- .../fonts/TeX/Typewriter/Regular/Other.js | 2 +- .../fonts/TeX/WinChrome/Regular/Main.js | 2 +- .../HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js | 2 +- .../HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js | 2 +- .../HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js | 2 +- .../HTML-CSS/fonts/TeX/fontdata-extra.js | 4 +- .../jax/output/HTML-CSS/fonts/TeX/fontdata.js | 4 +- unpacked/jax/output/HTML-CSS/imageFonts.js | 4 +- unpacked/jax/output/HTML-CSS/jax.js | 2 +- unpacked/jax/output/NativeMML/config.js | 4 +- unpacked/jax/output/NativeMML/jax.js | 2 +- unpacked/jax/output/PlainSource/config.js | 4 +- unpacked/jax/output/PlainSource/jax.js | 2 +- unpacked/jax/output/PreviewHTML/config.js | 4 +- unpacked/jax/output/PreviewHTML/jax.js | 2 +- .../jax/output/SVG/autoload/annotation-xml.js | 4 +- unpacked/jax/output/SVG/autoload/maction.js | 4 +- unpacked/jax/output/SVG/autoload/menclose.js | 4 +- unpacked/jax/output/SVG/autoload/mglyph.js | 4 +- .../jax/output/SVG/autoload/mmultiscripts.js | 4 +- unpacked/jax/output/SVG/autoload/ms.js | 4 +- unpacked/jax/output/SVG/autoload/mtable.js | 4 +- unpacked/jax/output/SVG/autoload/multiline.js | 4 +- unpacked/jax/output/SVG/config.js | 4 +- .../Asana-Math/Alphabets/Regular/Main.js | 2 +- .../fonts/Asana-Math/Arrows/Regular/Main.js | 2 +- .../Asana-Math/DoubleStruck/Regular/Main.js | 2 +- .../fonts/Asana-Math/Fraktur/Regular/Main.js | 2 +- .../fonts/Asana-Math/Latin/Regular/Main.js | 2 +- .../SVG/fonts/Asana-Math/Main/Regular/Main.js | 2 +- .../fonts/Asana-Math/Marks/Regular/Main.js | 2 +- .../SVG/fonts/Asana-Math/Misc/Regular/Main.js | 2 +- .../Asana-Math/Monospace/Regular/Main.js | 2 +- .../Asana-Math/NonUnicode/Regular/Main.js | 2 +- .../fonts/Asana-Math/Normal/Regular/Main.js | 2 +- .../Asana-Math/Operators/Regular/Main.js | 2 +- .../Asana-Math/SansSerif/Regular/Main.js | 2 +- .../fonts/Asana-Math/Script/Regular/Main.js | 2 +- .../fonts/Asana-Math/Shapes/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size1/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size2/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size3/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size4/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size5/Regular/Main.js | 2 +- .../fonts/Asana-Math/Size6/Regular/Main.js | 2 +- .../fonts/Asana-Math/Symbols/Regular/Main.js | 2 +- .../fonts/Asana-Math/Variants/Regular/Main.js | 2 +- .../SVG/fonts/Asana-Math/fontdata-extra.js | 4 +- .../output/SVG/fonts/Asana-Math/fontdata.js | 4 +- .../Gyre-Pagella/Alphabets/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Arrows/Regular/Main.js | 2 +- .../Gyre-Pagella/DoubleStruck/Regular/Main.js | 2 +- .../Gyre-Pagella/Fraktur/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Latin/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Main/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Marks/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Misc/Regular/Main.js | 2 +- .../Gyre-Pagella/Monospace/Regular/Main.js | 2 +- .../Gyre-Pagella/NonUnicode/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Normal/Regular/Main.js | 2 +- .../Gyre-Pagella/Operators/Regular/Main.js | 2 +- .../Gyre-Pagella/SansSerif/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Script/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Shapes/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size1/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size2/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size3/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size4/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size5/Regular/Main.js | 2 +- .../fonts/Gyre-Pagella/Size6/Regular/Main.js | 2 +- .../Gyre-Pagella/Symbols/Regular/Main.js | 2 +- .../Gyre-Pagella/Variants/Regular/Main.js | 2 +- .../SVG/fonts/Gyre-Pagella/fontdata-extra.js | 4 +- .../output/SVG/fonts/Gyre-Pagella/fontdata.js | 4 +- .../Gyre-Termes/Alphabets/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Arrows/Regular/Main.js | 2 +- .../Gyre-Termes/DoubleStruck/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Fraktur/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Latin/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Main/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Marks/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Misc/Regular/Main.js | 2 +- .../Gyre-Termes/Monospace/Regular/Main.js | 2 +- .../Gyre-Termes/NonUnicode/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Normal/Regular/Main.js | 2 +- .../Gyre-Termes/Operators/Regular/Main.js | 2 +- .../Gyre-Termes/SansSerif/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Script/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Shapes/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size1/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size2/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size3/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size4/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size5/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Size6/Regular/Main.js | 2 +- .../fonts/Gyre-Termes/Symbols/Regular/Main.js | 2 +- .../Gyre-Termes/Variants/Regular/Main.js | 2 +- .../SVG/fonts/Gyre-Termes/fontdata-extra.js | 4 +- .../output/SVG/fonts/Gyre-Termes/fontdata.js | 4 +- .../Latin-Modern/Alphabets/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Arrows/Regular/Main.js | 2 +- .../Latin-Modern/DoubleStruck/Regular/Main.js | 2 +- .../Latin-Modern/Fraktur/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Latin/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Main/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Marks/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Misc/Regular/Main.js | 2 +- .../Latin-Modern/Monospace/Regular/Main.js | 2 +- .../Latin-Modern/NonUnicode/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Normal/Regular/Main.js | 2 +- .../Latin-Modern/Operators/Regular/Main.js | 2 +- .../Latin-Modern/SansSerif/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Script/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Shapes/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size1/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size2/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size3/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size4/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size5/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size6/Regular/Main.js | 2 +- .../fonts/Latin-Modern/Size7/Regular/Main.js | 2 +- .../Latin-Modern/Symbols/Regular/Main.js | 2 +- .../Latin-Modern/Variants/Regular/Main.js | 2 +- .../SVG/fonts/Latin-Modern/fontdata-extra.js | 4 +- .../output/SVG/fonts/Latin-Modern/fontdata.js | 4 +- .../fonts/Neo-Euler/Alphabets/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Arrows/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Fraktur/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Main/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Marks/Regular/Main.js | 2 +- .../Neo-Euler/NonUnicode/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Normal/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Operators/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Script/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Shapes/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Size1/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Size2/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Size3/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Size4/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/Size5/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Symbols/Regular/Main.js | 2 +- .../fonts/Neo-Euler/Variants/Regular/Main.js | 2 +- .../SVG/fonts/Neo-Euler/fontdata-extra.js | 4 +- .../output/SVG/fonts/Neo-Euler/fontdata.js | 4 +- .../SVG/fonts/STIX-Web/Alphabets/Bold/Main.js | 2 +- .../STIX-Web/Alphabets/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Alphabets/Italic/Main.js | 2 +- .../fonts/STIX-Web/Alphabets/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Arrows/Bold/Main.js | 2 +- .../SVG/fonts/STIX-Web/Arrows/Regular/Main.js | 2 +- .../fonts/STIX-Web/DoubleStruck/Bold/Main.js | 2 +- .../STIX-Web/DoubleStruck/BoldItalic/Main.js | 2 +- .../STIX-Web/DoubleStruck/Italic/Main.js | 2 +- .../STIX-Web/DoubleStruck/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Fraktur/Bold/Main.js | 2 +- .../fonts/STIX-Web/Fraktur/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Latin/Bold/Main.js | 2 +- .../fonts/STIX-Web/Latin/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Latin/Italic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Latin/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Main/Bold/Main.js | 2 +- .../fonts/STIX-Web/Main/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Main/Italic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Main/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Marks/Bold/Main.js | 2 +- .../fonts/STIX-Web/Marks/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Marks/Italic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Marks/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Misc/Bold/Main.js | 2 +- .../fonts/STIX-Web/Misc/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Misc/Italic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Misc/Regular/Main.js | 2 +- .../fonts/STIX-Web/Monospace/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Normal/Bold/Main.js | 2 +- .../fonts/STIX-Web/Normal/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Normal/Italic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Operators/Bold/Main.js | 2 +- .../fonts/STIX-Web/Operators/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/SansSerif/Bold/Main.js | 2 +- .../STIX-Web/SansSerif/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/SansSerif/Italic/Main.js | 2 +- .../fonts/STIX-Web/SansSerif/Regular/Main.js | 2 +- .../fonts/STIX-Web/Script/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Script/Italic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Script/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Shapes/Bold/Main.js | 2 +- .../fonts/STIX-Web/Shapes/BoldItalic/Main.js | 2 +- .../SVG/fonts/STIX-Web/Shapes/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Size1/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Size2/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Size3/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Size4/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Size5/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Symbols/Bold/Main.js | 2 +- .../fonts/STIX-Web/Symbols/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/Variants/Bold/Main.js | 2 +- .../STIX-Web/Variants/BoldItalic/Main.js | 2 +- .../fonts/STIX-Web/Variants/Italic/Main.js | 2 +- .../fonts/STIX-Web/Variants/Regular/Main.js | 2 +- .../SVG/fonts/STIX-Web/fontdata-extra.js | 4 +- .../jax/output/SVG/fonts/STIX-Web/fontdata.js | 4 +- .../SVG/fonts/TeX/AMS/Regular/Arrows.js | 2 +- .../SVG/fonts/TeX/AMS/Regular/BoxDrawing.js | 2 +- .../fonts/TeX/AMS/Regular/CombDiacritMarks.js | 2 +- .../SVG/fonts/TeX/AMS/Regular/Dingbats.js | 2 +- .../fonts/TeX/AMS/Regular/EnclosedAlphanum.js | 2 +- .../TeX/AMS/Regular/GeneralPunctuation.js | 2 +- .../fonts/TeX/AMS/Regular/GeometricShapes.js | 2 +- .../fonts/TeX/AMS/Regular/GreekAndCoptic.js | 2 +- .../fonts/TeX/AMS/Regular/Latin1Supplement.js | 2 +- .../fonts/TeX/AMS/Regular/LatinExtendedA.js | 2 +- .../TeX/AMS/Regular/LetterlikeSymbols.js | 2 +- .../output/SVG/fonts/TeX/AMS/Regular/Main.js | 2 +- .../fonts/TeX/AMS/Regular/MathOperators.js | 2 +- .../fonts/TeX/AMS/Regular/MiscMathSymbolsB.js | 2 +- .../SVG/fonts/TeX/AMS/Regular/MiscSymbols.js | 2 +- .../fonts/TeX/AMS/Regular/MiscTechnical.js | 2 +- .../output/SVG/fonts/TeX/AMS/Regular/PUA.js | 2 +- .../TeX/AMS/Regular/SpacingModLetters.js | 2 +- .../TeX/AMS/Regular/SuppMathOperators.js | 2 +- .../SVG/fonts/TeX/Caligraphic/Bold/Main.js | 2 +- .../SVG/fonts/TeX/Caligraphic/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js | 2 +- .../output/SVG/fonts/TeX/Fraktur/Bold/Main.js | 2 +- .../SVG/fonts/TeX/Fraktur/Bold/Other.js | 2 +- .../output/SVG/fonts/TeX/Fraktur/Bold/PUA.js | 2 +- .../fonts/TeX/Fraktur/Regular/BasicLatin.js | 2 +- .../SVG/fonts/TeX/Fraktur/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Fraktur/Regular/Other.js | 2 +- .../SVG/fonts/TeX/Fraktur/Regular/PUA.js | 2 +- .../output/SVG/fonts/TeX/Main/Bold/Arrows.js | 2 +- .../SVG/fonts/TeX/Main/Bold/BasicLatin.js | 2 +- .../fonts/TeX/Main/Bold/CombDiacritMarks.js | 2 +- .../TeX/Main/Bold/CombDiactForSymbols.js | 2 +- .../fonts/TeX/Main/Bold/GeneralPunctuation.js | 2 +- .../fonts/TeX/Main/Bold/GeometricShapes.js | 2 +- .../SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js | 2 +- .../fonts/TeX/Main/Bold/Latin1Supplement.js | 2 +- .../SVG/fonts/TeX/Main/Bold/LatinExtendedA.js | 2 +- .../SVG/fonts/TeX/Main/Bold/LatinExtendedB.js | 2 +- .../fonts/TeX/Main/Bold/LetterlikeSymbols.js | 2 +- .../output/SVG/fonts/TeX/Main/Bold/Main.js | 2 +- .../SVG/fonts/TeX/Main/Bold/MathOperators.js | 2 +- .../fonts/TeX/Main/Bold/MiscMathSymbolsA.js | 2 +- .../SVG/fonts/TeX/Main/Bold/MiscSymbols.js | 2 +- .../SVG/fonts/TeX/Main/Bold/MiscTechnical.js | 2 +- .../fonts/TeX/Main/Bold/SpacingModLetters.js | 2 +- .../fonts/TeX/Main/Bold/SuppMathOperators.js | 2 +- .../TeX/Main/Bold/SupplementalArrowsA.js | 2 +- .../SVG/fonts/TeX/Main/Italic/BasicLatin.js | 2 +- .../fonts/TeX/Main/Italic/CombDiacritMarks.js | 2 +- .../TeX/Main/Italic/GeneralPunctuation.js | 2 +- .../fonts/TeX/Main/Italic/GreekAndCoptic.js | 2 +- .../fonts/TeX/Main/Italic/LatinExtendedA.js | 2 +- .../fonts/TeX/Main/Italic/LatinExtendedB.js | 2 +- .../TeX/Main/Italic/LetterlikeSymbols.js | 2 +- .../output/SVG/fonts/TeX/Main/Italic/Main.js | 2 +- .../SVG/fonts/TeX/Main/Regular/BasicLatin.js | 2 +- .../TeX/Main/Regular/CombDiacritMarks.js | 2 +- .../fonts/TeX/Main/Regular/GeometricShapes.js | 2 +- .../fonts/TeX/Main/Regular/GreekAndCoptic.js | 2 +- .../fonts/TeX/Main/Regular/LatinExtendedA.js | 2 +- .../fonts/TeX/Main/Regular/LatinExtendedB.js | 2 +- .../TeX/Main/Regular/LetterlikeSymbols.js | 2 +- .../output/SVG/fonts/TeX/Main/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Main/Regular/MiscSymbols.js | 2 +- .../TeX/Main/Regular/SpacingModLetters.js | 2 +- .../TeX/Main/Regular/SuppMathOperators.js | 2 +- .../SVG/fonts/TeX/Math/BoldItalic/Main.js | 2 +- .../output/SVG/fonts/TeX/Math/Italic/Main.js | 2 +- .../fonts/TeX/SansSerif/Bold/BasicLatin.js | 2 +- .../TeX/SansSerif/Bold/CombDiacritMarks.js | 2 +- .../SVG/fonts/TeX/SansSerif/Bold/Main.js | 2 +- .../SVG/fonts/TeX/SansSerif/Bold/Other.js | 2 +- .../fonts/TeX/SansSerif/Italic/BasicLatin.js | 2 +- .../TeX/SansSerif/Italic/CombDiacritMarks.js | 2 +- .../SVG/fonts/TeX/SansSerif/Italic/Main.js | 2 +- .../SVG/fonts/TeX/SansSerif/Italic/Other.js | 2 +- .../fonts/TeX/SansSerif/Regular/BasicLatin.js | 2 +- .../TeX/SansSerif/Regular/CombDiacritMarks.js | 2 +- .../SVG/fonts/TeX/SansSerif/Regular/Main.js | 2 +- .../SVG/fonts/TeX/SansSerif/Regular/Other.js | 2 +- .../fonts/TeX/Script/Regular/BasicLatin.js | 2 +- .../SVG/fonts/TeX/Script/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Size1/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Size2/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Size3/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Size4/Regular/Main.js | 2 +- .../TeX/Typewriter/Regular/BasicLatin.js | 2 +- .../Typewriter/Regular/CombDiacritMarks.js | 2 +- .../SVG/fonts/TeX/Typewriter/Regular/Main.js | 2 +- .../SVG/fonts/TeX/Typewriter/Regular/Other.js | 2 +- .../output/SVG/fonts/TeX/fontdata-extra.js | 4 +- unpacked/jax/output/SVG/fonts/TeX/fontdata.js | 4 +- unpacked/jax/output/SVG/jax.js | 2 +- unpacked/localization/ar/FontWarnings.js | 4 +- unpacked/localization/ar/HTML-CSS.js | 4 +- unpacked/localization/ar/HelpDialog.js | 4 +- unpacked/localization/ar/MathML.js | 4 +- unpacked/localization/ar/MathMenu.js | 4 +- unpacked/localization/ar/TeX.js | 4 +- unpacked/localization/ar/ar.js | 6 +- unpacked/localization/ast/FontWarnings.js | 4 +- unpacked/localization/ast/HTML-CSS.js | 4 +- unpacked/localization/ast/HelpDialog.js | 4 +- unpacked/localization/ast/MathML.js | 4 +- unpacked/localization/ast/MathMenu.js | 4 +- unpacked/localization/ast/TeX.js | 4 +- unpacked/localization/ast/ast.js | 6 +- unpacked/localization/bcc/FontWarnings.js | 4 +- unpacked/localization/bcc/HTML-CSS.js | 4 +- unpacked/localization/bcc/HelpDialog.js | 4 +- unpacked/localization/bcc/MathML.js | 4 +- unpacked/localization/bcc/MathMenu.js | 4 +- unpacked/localization/bcc/TeX.js | 4 +- unpacked/localization/bcc/bcc.js | 6 +- unpacked/localization/bg/FontWarnings.js | 4 +- unpacked/localization/bg/HTML-CSS.js | 4 +- unpacked/localization/bg/HelpDialog.js | 4 +- unpacked/localization/bg/MathML.js | 4 +- unpacked/localization/bg/MathMenu.js | 4 +- unpacked/localization/bg/TeX.js | 4 +- unpacked/localization/bg/bg.js | 6 +- unpacked/localization/br/FontWarnings.js | 4 +- unpacked/localization/br/HTML-CSS.js | 4 +- unpacked/localization/br/HelpDialog.js | 4 +- unpacked/localization/br/MathML.js | 4 +- unpacked/localization/br/MathMenu.js | 4 +- unpacked/localization/br/TeX.js | 4 +- unpacked/localization/br/br.js | 6 +- unpacked/localization/ca/FontWarnings.js | 4 +- unpacked/localization/ca/HTML-CSS.js | 4 +- unpacked/localization/ca/HelpDialog.js | 4 +- unpacked/localization/ca/MathML.js | 4 +- unpacked/localization/ca/MathMenu.js | 4 +- unpacked/localization/ca/TeX.js | 4 +- unpacked/localization/ca/ca.js | 6 +- unpacked/localization/cdo/FontWarnings.js | 4 +- unpacked/localization/cdo/HTML-CSS.js | 4 +- unpacked/localization/cdo/HelpDialog.js | 4 +- unpacked/localization/cdo/MathML.js | 4 +- unpacked/localization/cdo/MathMenu.js | 4 +- unpacked/localization/cdo/TeX.js | 4 +- unpacked/localization/cdo/cdo.js | 6 +- unpacked/localization/ce/FontWarnings.js | 4 +- unpacked/localization/ce/HTML-CSS.js | 4 +- unpacked/localization/ce/HelpDialog.js | 4 +- unpacked/localization/ce/MathML.js | 4 +- unpacked/localization/ce/MathMenu.js | 4 +- unpacked/localization/ce/TeX.js | 4 +- unpacked/localization/ce/ce.js | 6 +- unpacked/localization/cs/FontWarnings.js | 4 +- unpacked/localization/cs/HTML-CSS.js | 4 +- unpacked/localization/cs/HelpDialog.js | 4 +- unpacked/localization/cs/MathML.js | 4 +- unpacked/localization/cs/MathMenu.js | 4 +- unpacked/localization/cs/TeX.js | 4 +- unpacked/localization/cs/cs.js | 6 +- unpacked/localization/cy/FontWarnings.js | 4 +- unpacked/localization/cy/HTML-CSS.js | 4 +- unpacked/localization/cy/HelpDialog.js | 4 +- unpacked/localization/cy/MathML.js | 4 +- unpacked/localization/cy/MathMenu.js | 4 +- unpacked/localization/cy/TeX.js | 4 +- unpacked/localization/cy/cy.js | 6 +- unpacked/localization/da/FontWarnings.js | 4 +- unpacked/localization/da/HTML-CSS.js | 4 +- unpacked/localization/da/HelpDialog.js | 4 +- unpacked/localization/da/MathML.js | 4 +- unpacked/localization/da/MathMenu.js | 4 +- unpacked/localization/da/TeX.js | 4 +- unpacked/localization/da/da.js | 6 +- unpacked/localization/de/FontWarnings.js | 4 +- unpacked/localization/de/HTML-CSS.js | 4 +- unpacked/localization/de/HelpDialog.js | 4 +- unpacked/localization/de/MathML.js | 4 +- unpacked/localization/de/MathMenu.js | 4 +- unpacked/localization/de/TeX.js | 4 +- unpacked/localization/de/de.js | 6 +- unpacked/localization/diq/FontWarnings.js | 4 +- unpacked/localization/diq/HTML-CSS.js | 4 +- unpacked/localization/diq/HelpDialog.js | 4 +- unpacked/localization/diq/MathML.js | 4 +- unpacked/localization/diq/MathMenu.js | 4 +- unpacked/localization/diq/TeX.js | 4 +- unpacked/localization/diq/diq.js | 6 +- unpacked/localization/en/FontWarnings.js | 4 +- unpacked/localization/en/HTML-CSS.js | 4 +- unpacked/localization/en/HelpDialog.js | 4 +- unpacked/localization/en/MathML.js | 4 +- unpacked/localization/en/MathMenu.js | 4 +- unpacked/localization/en/TeX.js | 4 +- unpacked/localization/en/en.js | 6 +- unpacked/localization/eo/FontWarnings.js | 4 +- unpacked/localization/eo/HTML-CSS.js | 4 +- unpacked/localization/eo/HelpDialog.js | 4 +- unpacked/localization/eo/MathML.js | 4 +- unpacked/localization/eo/MathMenu.js | 4 +- unpacked/localization/eo/TeX.js | 4 +- unpacked/localization/eo/eo.js | 6 +- unpacked/localization/es/FontWarnings.js | 4 +- unpacked/localization/es/HTML-CSS.js | 4 +- unpacked/localization/es/HelpDialog.js | 4 +- unpacked/localization/es/MathML.js | 4 +- unpacked/localization/es/MathMenu.js | 4 +- unpacked/localization/es/TeX.js | 4 +- unpacked/localization/es/es.js | 6 +- unpacked/localization/fa/FontWarnings.js | 4 +- unpacked/localization/fa/HTML-CSS.js | 4 +- unpacked/localization/fa/HelpDialog.js | 4 +- unpacked/localization/fa/MathML.js | 4 +- unpacked/localization/fa/MathMenu.js | 4 +- unpacked/localization/fa/TeX.js | 4 +- unpacked/localization/fa/fa.js | 6 +- unpacked/localization/fi/FontWarnings.js | 4 +- unpacked/localization/fi/HTML-CSS.js | 4 +- unpacked/localization/fi/HelpDialog.js | 4 +- unpacked/localization/fi/MathML.js | 4 +- unpacked/localization/fi/MathMenu.js | 4 +- unpacked/localization/fi/TeX.js | 4 +- unpacked/localization/fi/fi.js | 6 +- unpacked/localization/fr/FontWarnings.js | 4 +- unpacked/localization/fr/HTML-CSS.js | 4 +- unpacked/localization/fr/HelpDialog.js | 4 +- unpacked/localization/fr/MathML.js | 4 +- unpacked/localization/fr/MathMenu.js | 4 +- unpacked/localization/fr/TeX.js | 4 +- unpacked/localization/fr/fr.js | 6 +- unpacked/localization/gl/FontWarnings.js | 4 +- unpacked/localization/gl/HTML-CSS.js | 4 +- unpacked/localization/gl/HelpDialog.js | 4 +- unpacked/localization/gl/MathML.js | 4 +- unpacked/localization/gl/MathMenu.js | 4 +- unpacked/localization/gl/TeX.js | 4 +- unpacked/localization/gl/gl.js | 6 +- unpacked/localization/he/FontWarnings.js | 4 +- unpacked/localization/he/HTML-CSS.js | 4 +- unpacked/localization/he/HelpDialog.js | 4 +- unpacked/localization/he/MathML.js | 4 +- unpacked/localization/he/MathMenu.js | 4 +- unpacked/localization/he/TeX.js | 4 +- unpacked/localization/he/he.js | 6 +- unpacked/localization/ia/FontWarnings.js | 4 +- unpacked/localization/ia/HTML-CSS.js | 4 +- unpacked/localization/ia/HelpDialog.js | 4 +- unpacked/localization/ia/MathML.js | 4 +- unpacked/localization/ia/MathMenu.js | 4 +- unpacked/localization/ia/TeX.js | 4 +- unpacked/localization/ia/ia.js | 6 +- unpacked/localization/it/FontWarnings.js | 4 +- unpacked/localization/it/HTML-CSS.js | 4 +- unpacked/localization/it/HelpDialog.js | 4 +- unpacked/localization/it/MathML.js | 4 +- unpacked/localization/it/MathMenu.js | 4 +- unpacked/localization/it/TeX.js | 4 +- unpacked/localization/it/it.js | 6 +- unpacked/localization/ja/FontWarnings.js | 4 +- unpacked/localization/ja/HTML-CSS.js | 4 +- unpacked/localization/ja/HelpDialog.js | 4 +- unpacked/localization/ja/MathML.js | 4 +- unpacked/localization/ja/MathMenu.js | 4 +- unpacked/localization/ja/TeX.js | 4 +- unpacked/localization/ja/ja.js | 6 +- unpacked/localization/kn/FontWarnings.js | 4 +- unpacked/localization/kn/HTML-CSS.js | 4 +- unpacked/localization/kn/HelpDialog.js | 4 +- unpacked/localization/kn/MathML.js | 4 +- unpacked/localization/kn/MathMenu.js | 4 +- unpacked/localization/kn/TeX.js | 4 +- unpacked/localization/kn/kn.js | 6 +- unpacked/localization/ko/FontWarnings.js | 4 +- unpacked/localization/ko/HTML-CSS.js | 4 +- unpacked/localization/ko/HelpDialog.js | 4 +- unpacked/localization/ko/MathML.js | 4 +- unpacked/localization/ko/MathMenu.js | 4 +- unpacked/localization/ko/TeX.js | 4 +- unpacked/localization/ko/ko.js | 6 +- unpacked/localization/lb/FontWarnings.js | 4 +- unpacked/localization/lb/HTML-CSS.js | 4 +- unpacked/localization/lb/HelpDialog.js | 4 +- unpacked/localization/lb/MathML.js | 4 +- unpacked/localization/lb/MathMenu.js | 4 +- unpacked/localization/lb/TeX.js | 4 +- unpacked/localization/lb/lb.js | 6 +- unpacked/localization/lki/FontWarnings.js | 4 +- unpacked/localization/lki/HTML-CSS.js | 4 +- unpacked/localization/lki/HelpDialog.js | 4 +- unpacked/localization/lki/MathML.js | 4 +- unpacked/localization/lki/MathMenu.js | 4 +- unpacked/localization/lki/TeX.js | 4 +- unpacked/localization/lki/lki.js | 6 +- unpacked/localization/lt/FontWarnings.js | 4 +- unpacked/localization/lt/HTML-CSS.js | 4 +- unpacked/localization/lt/HelpDialog.js | 4 +- unpacked/localization/lt/MathML.js | 4 +- unpacked/localization/lt/MathMenu.js | 4 +- unpacked/localization/lt/TeX.js | 4 +- unpacked/localization/lt/lt.js | 6 +- unpacked/localization/mk/FontWarnings.js | 4 +- unpacked/localization/mk/HTML-CSS.js | 4 +- unpacked/localization/mk/HelpDialog.js | 4 +- unpacked/localization/mk/MathML.js | 4 +- unpacked/localization/mk/MathMenu.js | 4 +- unpacked/localization/mk/TeX.js | 4 +- unpacked/localization/mk/mk.js | 6 +- unpacked/localization/nl/FontWarnings.js | 4 +- unpacked/localization/nl/HTML-CSS.js | 4 +- unpacked/localization/nl/HelpDialog.js | 4 +- unpacked/localization/nl/MathML.js | 4 +- unpacked/localization/nl/MathMenu.js | 4 +- unpacked/localization/nl/TeX.js | 4 +- unpacked/localization/nl/nl.js | 6 +- unpacked/localization/oc/FontWarnings.js | 4 +- unpacked/localization/oc/HTML-CSS.js | 4 +- unpacked/localization/oc/HelpDialog.js | 4 +- unpacked/localization/oc/MathML.js | 4 +- unpacked/localization/oc/MathMenu.js | 4 +- unpacked/localization/oc/TeX.js | 4 +- unpacked/localization/oc/oc.js | 6 +- unpacked/localization/pl/FontWarnings.js | 4 +- unpacked/localization/pl/HTML-CSS.js | 4 +- unpacked/localization/pl/HelpDialog.js | 4 +- unpacked/localization/pl/MathML.js | 4 +- unpacked/localization/pl/MathMenu.js | 4 +- unpacked/localization/pl/TeX.js | 4 +- unpacked/localization/pl/pl.js | 6 +- unpacked/localization/pt-br/FontWarnings.js | 4 +- unpacked/localization/pt-br/HTML-CSS.js | 4 +- unpacked/localization/pt-br/HelpDialog.js | 4 +- unpacked/localization/pt-br/MathML.js | 4 +- unpacked/localization/pt-br/MathMenu.js | 4 +- unpacked/localization/pt-br/TeX.js | 4 +- unpacked/localization/pt-br/pt-br.js | 6 +- unpacked/localization/pt/FontWarnings.js | 4 +- unpacked/localization/pt/HTML-CSS.js | 4 +- unpacked/localization/pt/HelpDialog.js | 4 +- unpacked/localization/pt/MathML.js | 4 +- unpacked/localization/pt/MathMenu.js | 4 +- unpacked/localization/pt/TeX.js | 4 +- unpacked/localization/pt/pt.js | 6 +- unpacked/localization/qqq/FontWarnings.js | 4 +- unpacked/localization/qqq/HTML-CSS.js | 4 +- unpacked/localization/qqq/HelpDialog.js | 4 +- unpacked/localization/qqq/MathML.js | 4 +- unpacked/localization/qqq/MathMenu.js | 4 +- unpacked/localization/qqq/TeX.js | 4 +- unpacked/localization/qqq/qqq.js | 6 +- unpacked/localization/ru/FontWarnings.js | 4 +- unpacked/localization/ru/HTML-CSS.js | 4 +- unpacked/localization/ru/HelpDialog.js | 4 +- unpacked/localization/ru/MathML.js | 4 +- unpacked/localization/ru/MathMenu.js | 4 +- unpacked/localization/ru/TeX.js | 4 +- unpacked/localization/ru/ru.js | 6 +- unpacked/localization/scn/FontWarnings.js | 4 +- unpacked/localization/scn/HTML-CSS.js | 4 +- unpacked/localization/scn/HelpDialog.js | 4 +- unpacked/localization/scn/MathML.js | 4 +- unpacked/localization/scn/MathMenu.js | 4 +- unpacked/localization/scn/TeX.js | 4 +- unpacked/localization/scn/scn.js | 6 +- unpacked/localization/sco/FontWarnings.js | 4 +- unpacked/localization/sco/HTML-CSS.js | 4 +- unpacked/localization/sco/HelpDialog.js | 4 +- unpacked/localization/sco/MathML.js | 4 +- unpacked/localization/sco/MathMenu.js | 4 +- unpacked/localization/sco/TeX.js | 4 +- unpacked/localization/sco/sco.js | 6 +- unpacked/localization/sk/FontWarnings.js | 4 +- unpacked/localization/sk/HTML-CSS.js | 4 +- unpacked/localization/sk/HelpDialog.js | 4 +- unpacked/localization/sk/MathML.js | 4 +- unpacked/localization/sk/MathMenu.js | 4 +- unpacked/localization/sk/TeX.js | 4 +- unpacked/localization/sk/sk.js | 6 +- unpacked/localization/sl/FontWarnings.js | 4 +- unpacked/localization/sl/HTML-CSS.js | 4 +- unpacked/localization/sl/HelpDialog.js | 4 +- unpacked/localization/sl/MathML.js | 4 +- unpacked/localization/sl/MathMenu.js | 4 +- unpacked/localization/sl/TeX.js | 4 +- unpacked/localization/sl/sl.js | 6 +- unpacked/localization/sv/FontWarnings.js | 4 +- unpacked/localization/sv/HTML-CSS.js | 4 +- unpacked/localization/sv/HelpDialog.js | 4 +- unpacked/localization/sv/MathML.js | 4 +- unpacked/localization/sv/MathMenu.js | 4 +- unpacked/localization/sv/TeX.js | 4 +- unpacked/localization/sv/sv.js | 6 +- unpacked/localization/th/FontWarnings.js | 4 +- unpacked/localization/th/HTML-CSS.js | 4 +- unpacked/localization/th/HelpDialog.js | 4 +- unpacked/localization/th/MathML.js | 4 +- unpacked/localization/th/MathMenu.js | 4 +- unpacked/localization/th/TeX.js | 4 +- unpacked/localization/th/th.js | 6 +- unpacked/localization/tr/FontWarnings.js | 4 +- unpacked/localization/tr/HTML-CSS.js | 4 +- unpacked/localization/tr/HelpDialog.js | 4 +- unpacked/localization/tr/MathML.js | 4 +- unpacked/localization/tr/MathMenu.js | 4 +- unpacked/localization/tr/TeX.js | 4 +- unpacked/localization/tr/tr.js | 6 +- unpacked/localization/uk/FontWarnings.js | 4 +- unpacked/localization/uk/HTML-CSS.js | 4 +- unpacked/localization/uk/HelpDialog.js | 4 +- unpacked/localization/uk/MathML.js | 4 +- unpacked/localization/uk/MathMenu.js | 4 +- unpacked/localization/uk/TeX.js | 4 +- unpacked/localization/uk/uk.js | 6 +- unpacked/localization/vi/FontWarnings.js | 4 +- unpacked/localization/vi/HTML-CSS.js | 4 +- unpacked/localization/vi/HelpDialog.js | 4 +- unpacked/localization/vi/MathML.js | 4 +- unpacked/localization/vi/MathMenu.js | 4 +- unpacked/localization/vi/TeX.js | 4 +- unpacked/localization/vi/vi.js | 6 +- unpacked/localization/zh-hans/FontWarnings.js | 4 +- unpacked/localization/zh-hans/HTML-CSS.js | 4 +- unpacked/localization/zh-hans/HelpDialog.js | 4 +- unpacked/localization/zh-hans/MathML.js | 4 +- unpacked/localization/zh-hans/MathMenu.js | 4 +- unpacked/localization/zh-hans/TeX.js | 4 +- unpacked/localization/zh-hans/zh-hans.js | 6 +- unpacked/localization/zh-hant/FontWarnings.js | 4 +- unpacked/localization/zh-hant/HTML-CSS.js | 4 +- unpacked/localization/zh-hant/HelpDialog.js | 4 +- unpacked/localization/zh-hant/MathML.js | 4 +- unpacked/localization/zh-hant/MathMenu.js | 4 +- unpacked/localization/zh-hant/TeX.js | 4 +- unpacked/localization/zh-hant/zh-hant.js | 6 +- 1266 files changed, 2030 insertions(+), 2071 deletions(-) diff --git a/extensions/TeX/mhchem3/mhchem.js b/extensions/TeX/mhchem3/mhchem.js index 55d1af1f0e..d980ec5145 100644 --- a/extensions/TeX/mhchem3/mhchem.js +++ b/extensions/TeX/mhchem3/mhchem.js @@ -8,7 +8,7 @@ * --------------------------------------------------------------------- * * Copyright (c) 2011-2015 The MathJax Consortium - * Copyright (c) 2015-2017 Martin Hensel + * Copyright (c) 2015-2018 Martin Hensel * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,311 +22,270 @@ * See the License for the specific language governing permissions and * limitations under the License. */ -MathJax.Extension["TeX/mhchem"]={version:"3.2.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready", -function(){var n=MathJax.InputJax.TeX,r=MathJax.Object.Subclass({string:"",Init: -function(n){this.string=n},Parse: -function(r){try{return o.go(t.go(this.string,r))}catch(r){n.Error(r)}}}),t={};t.go= -function(n,r){if(!n)return n;void 0===r&&(r="ce");var o="0",e={};e.pL=0,n=n.replace(/[\u2212\u2013\u2014\u2010]/g,"-"),n=n.replace(/[\u2026]/g,"...");for(var a,u,i=[];;){a!==n?(u=10,a=n):u--;var s=t.c[r],l=s.e.length;n:for(var h=0;h0))return i;if(c.s||(n=f.t),!c.u)break n}}}if(u<=0)throw["MhchemBugU","mhchem bug U. Please report."]}}, -t.j= -function(n,r){return r?n?n.concat(r):[].concat(r):n},t.w={"~C":/^$/,"~A":/^./,"~B":/^./,"%m":/^\s/,"%l":/^\s(?=[A-Z\\$])/,"~@":/^[a-z]/,x:/^x/,x$:/^x$/,i$:/^i$/,"~M":/^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,"@z":/^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,"~P":/^(?:([a-z])(?:$|[^a-zA-Z]))$/,"@%":/^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,"~O":/^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,"~u":/^[0-9]+/,"@h":/^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,"@g":/^[+\-]?[0-9]+(?:[.,][0-9]+)?/,"%T": -function(n){var r=n.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);return r&&r[0]?{h:r.splice(1),t:n.substr(r[0].length)}:null},aj: -function(n){var r=n.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);return r&&r[0]?{h:r.splice(1),t:n.substr(r[0].length)}:null},"%n": -function(n){var r=this["@W"](n,"",/^\([a-z]{1,3}(?=[\),])/,")","");if(r&&r.t.match(/^($|[\s,;\)\]\}])/))return r;var t=n.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/);return t?{h:t[0],t:n.substr(t[0].length)}:null},ae:/^_\{(\([a-z]{1,3}\))\}/,"@K":/^(?:\\\{|\[|\()/,"@c":/^(?:\)|\]|\\\})/,", ":/^[,;]\s*/,",":/^[,;]/,".":/^[.]/,". ":/^([.\u22C5\u00B7\u2022])\s*/,"@i":/^\.\.\.(?=$|[^.])/,"* ":/^([*])\s*/,"@P": -function(n){return this["@W"](n,"^{","","","}")},"@L": -function(n){return this["@W"](n,"^","$","$","")},"^a":/^\^([0-9]+|[^\\_])/,"@O": -function(n){return this["@W"](n,"^",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"@N": -function(n){return this["@W"](n,"^",/^\\[a-zA-Z]+\{/,"}","")},"^\\x":/^\^(\\[a-zA-Z]+)\s*/,"%U":/^\^(-?\d+)/,"'":/^'/,"@Y": -function(n){return this["@W"](n,"_{","","","}")},"@Q": -function(n){return this["@W"](n,"_","$","$","")},_9:/^_([+\-]?[0-9]+|[^\\])/,"@T": -function(n){return this["@W"](n,"_",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"@S": -function(n){return this["@W"](n,"_",/^\\[a-zA-Z]+\{/,"}","")},"@R":/^_(\\[a-zA-Z]+)\s*/,"^_":/^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,"{}":/^\{\}/,"%B": -function(n){return this["@W"](n,"","{","}","")},"%A": -function(n){return this["@W"](n,"{","","","}")},"@~": -function(n){return this["@W"](n,"","$","$","")},"@a": -function(n){return this["@W"](n,"${","","","}$")},"@@": -function(n){return this["@W"](n,"$","","","$")},"%D":/^[=<>]/,"#":/^[#\u2261]/,"+":/^\+/,"-$":/^-(?=[\s_},;\]\/]|$|\([a-z]+\))/,"-9":/^-(?=[0-9])/,"@f":/^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,"-":/^-/,ai:/^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,"~Q":/^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,"~c":/^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,"@r": -function(n){return this["@W"](n,"\\bond{","","","}")},"->":/^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,"@m":/^[CMT](?=\[)/,"@o": -function(n){return this["@W"](n,"[","","","]")},al:/^(&|@q|\\hline)\s*/,"@p":/^(?:\\[,\ ;:])/,"@G": -function(n){return this["@W"](n,"",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"@F": -function(n){return this["@W"](n,"",/^\\[a-zA-Z]+\{/,"}","")},"@t":/^\\ca(?:\s+|(?![a-zA-Z]))/,"@E":/^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,"~R":/^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,"~S":/^[\/~|]/,"@y": -function(n){return this["@W"](n,"\\frac{","","","}","{","","","}")},"@A": -function(n){return this["@W"](n,"\\overset{","","","}","{","","","}")},"@C": -function(n){return this["@W"](n,"\\underset{","","","}","{","","","}")},"@B": -function(n){return this["@W"](n,"\\underbrace{","","","}_","{","","","}")},"@w": -function(n){return this["@W"](n,"\\color{","","","}")},"@x": -function(n){return this["@W"](n,"\\color{","","","}","{","","","}")},"@v": -function(n){return this["@W"](n,"\\color","\\","",/^(?=\{)/,"{","","","}")},"@u": -function(n){return this["@W"](n,"\\ce{","","","}")},"~Z":/^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"a~":/^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%d":/^[IVX]+/,"@j":/^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,"~%": -function(n){var r;if(r=n.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/))return{h:r[0],t:n.substr(r[0].length)};var t=this["@W"](n,"","$","$","");return t&&(r=t.h.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/))?{h:r[0],t:n.substr(r[0].length)}:null},"~a": -function(n){return this["~%"](n)},"@b":/^(?:[A-Z][a-z]{0,2}|i)(?=,)/,"~E": -function(n){if(n.match(/^\([a-z]+\)$/))return null;var r=n.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);return r?{h:r[0],t:n.substr(r[0].length)}:null},"%z":/^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,"/":/^\s*(\/)\s*/,"//":/^\s*(\/\/)\s*/,"*":/^\s*\*\s*/,"@W": -function(n,r,t,o,e,a,u,i,s,l){var h=this["@V"](n,r);if(null===h)return null;if(n=n.substr(h.length),h=this["@V"](n,t),null===h)return null;var p=this["@U"](n,h.length,o||e);if(null===p)return null;var c=n.substring(0,o?p.y:p.z);if(a||u){var f=this["@W"](n.substr(p.y),a,u,i,s);if(null===f)return null;var m=[c,f.h];return l&&(m=m.join("")),{h:m,t:f.t}}return{h:c,t:n.substr(p.y)}}, -"@V": -function(n,r){if("string"==typeof r)return 0!==n.indexOf(r)?null:r;var t=n.match(r);return t?t[0]:null},"@U": -function(n,r,t){for(var o=0;r":{"0|1|2|3":{k:"r=",n:"r"},"a|as":{k:["~T","r="],n:"r"},"*":{k:["~T","r="],n:"r"}}, -"+":{o:{k:"~t",n:"d"},"d|D":{k:"d=",n:"d"},q:{k:"d=",n:"qd"},"qd|qD":{k:"d=",n:"qd"},dq:{k:["~T","d="],n:"d"},3:{k:["%j","~T","~Q"],n:"0"}}, -"~%":{"0|2":{k:"a=",n:"a"}}, -ai:{"0|1|2|a|as":{k:["%j","~T",{l:"~Q",m:"\\pm"}],n:"0"}}, -"~Q":{"0|1|2|a|as":{k:["%j","~T","~Q"],n:"0"}}, -"-$":{"o|q":{k:["~g","~T"],n:"qd"},d:{k:"d=",n:"d"},D:{k:["~T",{l:"~f",m:"-"}],n:"3"},q:{k:"d=",n:"qd"},qd:{k:"d=",n:"qd"},"qD|dq":{k:["~T",{l:"~f",m:"-"}],n:"3"}}, -"-9":{"3|o":{k:["~T",{l:"~J",m:"~I"}],n:"3"}}, -"@f":{o:{k:{l:"@e",m:!0},n:"2"},d:{k:{l:"@d",m:!0},n:"2"}}, -"-":{"0|1|2":{k:[{l:"~T",m:1},"%E",{l:"~f",m:"-"}],n:"3"},3:{k:{l:"~f",m:"-"}}, -a:{k:["~T",{l:"~J",m:"~I"}],n:"2"},as:{k:[{l:"~T",m:2},{l:"~f",m:"-"}],n:"3"},b:{k:"b="},o:{k:"@e",n:"2"},q:{k:"@e",n:"2"},"d|qd|dq":{k:"@d",n:"2"},"D|qD|p":{k:["~T",{l:"~f",m:"-"}],n:"3"}}, -"~a":{"1|3":{k:"a=",n:"a"}}, -"~M":{"0|1|2|3|a|as|b|p|bp|o":{k:"o=",n:"o"},"q|dq":{k:["~T","o="],n:"o"},"d|D|qd|qD":{k:"~N",n:"o"}}, -"~u":{o:{k:"q=",n:"q"},"d|D":{k:"q=",n:"dq"},q:{k:["~T","o="],n:"o"},a:{k:"o=",n:"o"}}, -"%l":{"b|p|bp":{}}, -"%m":{a:{n:"as"},0:{k:"%j"},"1|2":{k:"%k"},"r|rt|rd|%i|%h":{k:"~T",n:"0"},"*":{k:["~T","%k"],n:"1"}}, -al:{"1|2":{k:["~T",{l:"~K",m:"al"}]}, -"*":{k:["~T",{l:"~K",m:"al"}],n:"0"}}, -"@o":{"r|rt":{k:"%a",n:"rd"},"rd|%i":{k:"%f",n:"%h"}}, -"@i":{"o|d|D|dq|qd|qD":{k:["~T",{l:"~f",m:"..."}],n:"3"},"*":{k:[{l:"~T",m:1},{l:"~J",m:"~z"}],n:"1"}}, -". |* ":{"*":{k:["~T",{l:"~J",m:"~~"}],n:"1"}}, -"%n":{"*":{k:["~T","%p"],n:"1"}}, -"@K":{"a|as|o":{k:["o=","~T","%G"],n:"2"},"0|1|2|3":{k:["o=","~T","%G"],n:"2"},"*":{k:["~T","o=","~T","%G"],n:"2"}}, -"@c":{"0|1|2|3|b|p|bp|o":{k:["o=","%H"],n:"o"},"a|as|d|D|q|qd|qD|dq":{k:["~T","o=","%H"],n:"o"}}, -", ":{"*":{k:["~T","~q"],n:"0"}}, +MathJax.Extension["TeX/mhchem"]={version:"3.3.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var t=MathJax.InputJax.TeX,n=MathJax.Object.Subclass({string:"", +Init:function(t){this.string=t}, +Parse:function(n){try{return a.go(e.go(this.string,n))}catch(n){t.Error(n)}}}),e={ +go:function(t,n){if(!t)return[];void 0===n&&(n="ce");var a,o="0",r={};r["@@"]=0,t=(t=(t=t.replace(/\n/g," ")).replace(/[\u2212\u2013\u2014\u2010]/g,"-")).replace(/[\u2026]/g,"...");for(var i=10,c=[];;){a!==t?(i=10,a=t):i--;var u=e.t[n],p=u.u[o]||u.u["*"];t:for(var s=0;s0))return c;if(f.k||(t=_.$),!f.A)break t}}if(i<=0)throw["MhchemBugU","mhchem bug U. Please report."]}}, +v:function(t,n){if(n)if(Array.isArray(n))for(var e=0;e]/,"#":/^[#\u2261]/,"+":/^\+/,"-$":/^-(?=[\s_},;\]/]|$|\([a-z]+\))/,"-9":/^-(?=[0-9])/,"@g":/^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,"-":/^-/,"``":/^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,"~N":/^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,"~`":/^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/, +"@s":function(t){return e._.M(t,"\\bond{","","","}")},"->":/^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,"@n":/^[CMT](?=\[)/, +"@p":function(t){return e._.M(t,"[","","","]")},"`c":/^(&|@r|\\hline)\s*/,"@q":/^(?:\\[,\ ;:])/, +"@H":function(t){return e._.M(t,"",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)}, +"@G":function(t){return e._.M(t,"",/^\\[a-zA-Z]+\{/,"}","")},"@u":/^\\ca(?:\s+|(?![a-zA-Z]))/,"@F":/^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,"~O":/^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,"~P":/^[\/~|]/, +"@z":function(t){return e._.M(t,"\\frac{","","","}","{","","","}")}, +"@B":function(t){return e._.M(t,"\\overset{","","","}","{","","","}")}, +"@D":function(t){return e._.M(t,"\\underset{","","","}","{","","","}")}, +"@C":function(t){return e._.M(t,"\\underbrace{","","","}_","{","","","}")}, +"@x":function(t){return e._.M(t,"\\color{","","","}")}, +"@y":function(t){return e._.M(t,"\\color{","","","}","{","","","}")}, +"@w":function(t){return e._.M(t,"\\color","\\","",/^(?=\{)/,"{","","","}")}, +"@v":function(t){return e._.M(t,"\\ce{","","","}")},"~W":/^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%Y":/^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%a":/^[IVX]+/,"@k":/^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/, +"~@":function(t){var n;if(n=t.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/))return{s:n[0],$:t.substr(n[0].length)};var a=e._.M(t,"","$","$","");return a&&(n=a.s.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/))?{s:n[0],$:t.substr(n[0].length)}:null}, +"~~":function(t){return this["~@"](t)},"@c":/^(?:[A-Z][a-z]{0,2}|i)(?=,)/, +"~B":function(t){if(t.match(/^\([a-z]+\)$/))return null;var n=t.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);return n?{s:n[0],$:t.substr(n[0].length)}:null},"%w":/^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,"/":/^\s*(\/)\s*/,"//":/^\s*(\/\/)\s*/,"*":/^\s*[*.]\s*/}, +M:function(t,n,e,a,o,r,i,c,u,p){var s=function(t,n){if("string"==typeof n)return 0!==t.indexOf(n)?null:n;var e=t.match(n);return e?e[0]:null},_=s(t,n);if(null===_)return null;if(t=t.substr(_.length),null===(_=s(t,e)))return null;var f=function(t,n,e){for(var a=0;n":{"0|1|2|3":{h:"r=",g:"r"},"a|as":{h:["~Q","r="],g:"r"},"*":{h:["~Q","r="],g:"r"}}, +"+":{o:{h:"~q",g:"d"},"d|D":{h:"d=",g:"d"},q:{h:"d=",g:"qd"},"qd|qD":{h:"d=",g:"qd"},dq:{h:["~Q","d="],g:"d"},3:{h:["%g","~Q","~N"],g:"0"}}, +"~@":{"0|2":{h:"a=",g:"a"}}, +"``":{"0|1|2|a|as":{h:["%g","~Q",{l:"~N",S:"\\pm"}],g:"0"}}, +"~N":{"0|1|2|a|as":{h:["%g","~Q","~N"],g:"0"}}, +"-$":{"o|q":{h:["~d","~Q"],g:"qd"},d:{h:"d=",g:"d"},D:{h:["~Q",{l:"~c",S:"-"}],g:"3"},q:{h:"d=",g:"qd"},qd:{h:"d=",g:"qd"},"qD|dq":{h:["~Q",{l:"~c",S:"-"}],g:"3"}}, +"-9":{"3|o":{h:["~Q",{l:"~G",S:"~F"}],g:"3"}}, +"@g":{o:{h:["~Q",{l:"~G",S:"~F"}],g:"2"},d:{h:["~Q",{l:"~G",S:"~F"}],g:"2"}}, +"-":{"0|1|2":{h:[{l:"~Q",S:1},"~b",{l:"~c",S:"-"}],g:"3"},3:{h:{l:"~c",S:"-"}}, +a:{h:["~Q",{l:"~G",S:"~F"}],g:"2"},as:{h:[{l:"~Q",S:2},{l:"~c",S:"-"}],g:"3"},b:{h:"b="},o:{h:{l:"`d",S:!1},g:"2"},q:{h:{l:"`d",S:!1},g:"2"},"d|qd|dq":{h:{l:"`d",S:!0},g:"2"},"D|qD|p":{h:["~Q",{l:"~c",S:"-"}],g:"3"}}, +"~~":{"1|3":{h:"a=",g:"a"}}, +"~J":{"0|1|2|3|a|as|b|p|bp|o":{h:"o=",g:"o"},"q|dq":{h:["~Q","o="],g:"o"},"d|D|qd|qD":{h:"~K",g:"o"}}, +"~r":{o:{h:"q=",g:"q"},"d|D":{h:"q=",g:"dq"},q:{h:["~Q","o="],g:"o"},a:{h:"o=",g:"o"}}, +"%i":{"b|p|bp":{}}, +"%j":{a:{g:"as"},0:{h:"%g"},"1|2":{h:"%h"},"r|rt|rd|%f|%e":{h:"~Q",g:"0"},"*":{h:["~Q","%h"],g:"1"}}, +"`c":{"1|2":{h:["~Q",{l:"~H",S:"`c"}]}, +"*":{h:["~Q",{l:"~H",S:"`c"}],g:"0"}}, +"@p":{"r|rt":{h:"%~",g:"rd"},"rd|%f":{h:"%c",g:"%e"}}, +"@j":{"o|d|D|dq|qd|qD":{h:["~Q",{l:"~c",S:"..."}],g:"3"},"*":{h:[{l:"~Q",S:1},{l:"~G",S:"~w"}],g:"1"}}, +". |* ":{"*":{h:["~Q",{l:"~G",S:"@Y"}],g:"1"}}, +"%k":{"*":{h:["~Q","%m"],g:"1"}}, +"@L":{"a|as|o":{h:["o=","~Q","~X"],g:"2"},"0|1|2|3":{h:["o=","~Q","~X"],g:"2"},"*":{h:["~Q","o=","~Q","~X"],g:"2"}}, +"@d":{"0|1|2|3|b|p|bp|o":{h:["o=","~Y"],g:"o"},"a|as|d|D|q|qd|qD|dq":{h:["~Q","o=","~Y"],g:"o"}}, +", ":{"*":{h:["~Q","~n"],g:"0"}}, "^_":{"*":{}}, -"@P|@L":{"0|1|2|as":{k:"b=",n:"b"},p:{k:"b=",n:"bp"},"3|o":{k:"~t",n:"D"},q:{k:"d=",n:"qD"},"d|D|qd|qD|dq":{k:["~T","d="],n:"D"}}, -"^a|@O|@N|^\\x|'":{"0|1|2|as":{k:"b=",n:"b"},p:{k:"b=",n:"bp"},"3|o":{k:"~t",n:"d"},q:{k:"d=",n:"qd"},"d|qd|D|qD":{k:"d="},dq:{k:["~T","d="],n:"d"}}, -ae:{"d|D|q|qd|qD|dq":{k:["~T","q="],n:"q"}}, -"@Y|@Q|_9|@T|@S|@R":{"0|1|2|as":{k:"p=",n:"p"},b:{k:"p=",n:"bp"},"3|o":{k:"q=",n:"q"},"d|D":{k:"q=",n:"dq"},"q|qd|qD|dq":{k:["~T","q="],n:"q"}}, -"%D":{"0|1|2|3|a|as|o|q|d|D|qd|qD|dq":{k:[{l:"~T",m:2},"~f"],n:"3"}}, -"#":{"0|1|2|3|a|as|o":{k:[{l:"~T",m:2},{l:"~f",m:"#"}],n:"3"}}, -"{}":{"*":{k:{l:"~T",m:1},n:"1"}}, -"%B":{"0|1|2|3|a|as|b|p|bp":{k:"o=",n:"o"},"o|d|D|q|qd|qD|dq":{k:["~T","o="],n:"o"}}, -"@~":{a:{k:"a="},"0|1|2|3|as|b|p|bp|o":{k:"o=",n:"o"},"as|o":{k:"o="},"q|d|D|qd|qD|dq":{k:["~T","o="],n:"o"}}, -"@r":{"*":{k:[{l:"~T",m:2},"~f"],n:"3"}}, -"@y":{"*":{k:[{l:"~T",m:1},"~H"],n:"3"}}, -"@A":{"*":{k:[{l:"~T",m:2},"~X"],n:"3"}}, -"@C":{"*":{k:[{l:"~T",m:2},"%y"],n:"3"}}, -"@B":{"*":{k:[{l:"~T",m:2},"%w"],n:"3"}}, -"@x|@v":{"*":{k:[{l:"~T",m:2},"~k"],n:"3"}}, -"@w":{"*":{k:[{l:"~T",m:2},"~m"]}}, -"@u":{"*":{k:[{l:"~T",m:2},"ce"],n:"3"}}, -"@p":{"*":{k:[{l:"~T",m:1},"~s"],n:"1"}}, -"@G|@F|@E":{"0|1|2|3|a|as|b|p|bp|o|c0":{k:["o=","~T"],n:"3"},"*":{k:["~T","o=","~T"],n:"3"}}, -"~S":{"*":{k:[{l:"~T",m:1},"~s"],n:"3"}}, -"~B":{a:{k:"@Z",n:"o",s:!0},as:{k:[{l:"~T"},"%k"],n:"1",s:!0},"r|rt|rd|%i|%h":{k:["~T"],n:"0",s:!0},"*":{k:["~T","~s"],n:"3"}}}),g:{"~N": -function(n,r){var o;if(n.d.match(/^[0-9]+$/)){var e=n.d;n.d=void 0,o=this["~T"](n),n.b=e}else o=this["~T"](n);return t.g["o="](n,r),o},"~t": -function(n,r){n.d=r,n["%I"]="kv"},"~g": -function(n,r){if(n.yB){var o=t.j(o,this["~T"](n));return o=t.j(o,t.g["~f"](n,r,"-"))}n.d=r},"@e": -function(n,r,o){var e=o||this["@X"](n,r),a=t.j(null,this["~T"](n,r));return a=e?t.j(a,{l:"~I"}):t.j(a,t.g["~f"](n,r,"-"))},"@d": -function(n,r,o){var e,a=o||this["@X"](n,r);if(a)e=t.j(e,this["~T"](n,r)),e=t.j(e,{l:"~I"});else{var u=t.h("~u",n.d||"");u&&""===u.t?(e=t.j(null,t.g["d="](n,r)),e=t.j(e,this["~T"](n))):(e=t.j(e,this["~T"](n,r)),e=t.j(e,t.g["~f"](n,r,"-")))}return e},"@X": -function(n,r){var o=t.h("~R",n.o||""),e=t.h("~O",n.o||""),a=t.h("~P",n.o||""),u=t.h("@%",n.o||""),i="-"===r&&(o&&""===o.t||e||a||u);return!i||n.a||n.b||n.p||n.d||n.q||o||!a||(n.o="$"+n.o+"$"),i},"@Z": -function(n,r){n.o=n.a,n.a=void 0},"%k": -function(n,r){n.sb=!0},"%j": -function(n,r){n.sb=!1},"%E": -function(n,r){n.yB=!0},"%F": -function(n,r){n.yB=!1},"%G": -function(n,r){n.pL++},"%H": -function(n,r){n.pL--},"%p": -function(n,r){return r=t.go(r,"o"),{l:"%p",p1:r}}, -"~q": -function(n,r){var t=r.replace(/\s*$/,""),o=t!==r;return o&&0===n.pL?{l:"~n",p1:t}:{l:"~o",p1:t}}, -"~T": -function(n,r,o){var e;n.r?("M"===n.rdt?n.rd=t.go(n.rd,"%r"):"T"===n.rdt?n.rd=[{l:"%s",p1:n.rd}]:n.rd=t.go(n.rd),"M"===n.rqt?n.rq=t.go(n.rq,"%r"):"T"===n.rqt?n.rq=[{l:"%s",p1:n.rq}]:n.rq=t.go(n.rq),e={l:"~b",r:n.r,rd:n.rd,rq:n.rq}):(e=[],n.a||n.b||n.p||n.o||n.q||n.d||o?(n.sb&&e.push({l:"~D"}),n.o||n.q||n.d||n.b||n.p||2===o?n.o||n.q||n.d||!n.b&&!n.p?n.o&&"kv"===n["%I"]&&t.h("a~",n.d||"")?n["%I"]="~Y":n.o&&"kv"===n["%I"]&&!n.q&&(n["%I"]=void 0):(n.o=n.a,n.d=n.b,n.q=n.p,n.a=n.b=n.p=void 0):(n.o=n.a,n.a=void 0),n.a=t.go(n.a,"a"),n.b=t.go(n.b,"bd"),n.p=t.go(n.p,"pq"),n.o=t.go(n.o,"o"),"~Y"===n["%I"]?n.d=t.go(n.d,"~Y"):n.d=t.go(n.d,"bd"),n.q=t.go(n.q,"pq"),e.push({l:"~h",a:n.a,b:n.b,p:n.p,o:n.o,q:n.q,d:n.d,"%I":n["%I"]})):e=null);for(var a in n)"pL"!==a&&"yB"!==a&&delete n[a];return e},"a%": -function(n,r){var o=["{"];return o=t.j(o,t.go(r,"~Y")),o=o.concat(["}"])},"~H": -function(n,r){return{l:"~G",p1:t.go(r[0]),p2:t.go(r[1])}}, -"~X": -function(n,r){return{l:"~W",p1:t.go(r[0]),p2:t.go(r[1])}}, -"%y": -function(n,r){return{l:"%x",p1:t.go(r[0]),p2:t.go(r[1])}}, -"%w": -function(n,r){return{l:"%v",p1:t.go(r[0]),p2:t.go(r[1])}}, -"~k": -function(n,r){return{l:"~j",F:r[0],G:t.go(r[1])}}, -"r=": -function(n,r){n.r=(n.r||"")+r},"%b": -function(n,r){n.rdt=(n.rdt||"")+r},"%a": -function(n,r){n.rd=(n.rd||"")+r},"%g": -function(n,r){n.rqt=(n.rqt||"")+r},"%f": -function(n,r){n.rq=(n.rq||"")+r},"~Q": -function(n,r,t){return{l:"~Q",A:t||r}}}}, -t.c.a={e:t.C({"~C":{"*":{}}, -"@j":{0:{k:"@k"}}, -"~A":{0:{n:"1",s:!0}}, -"@@":{"*":{k:"%q",n:"1"}}, -",":{"*":{k:{l:"~J",m:"~r"}}}, -"~B":{"*":{k:"~s"}}}),g:{}}, -t.c.o={e:t.C({"~C":{"*":{}}, -"@j":{0:{k:"@k"}}, -"~A":{0:{n:"1",s:!0}}, -"~M":{"*":{k:"rm"}}, -"@t":{"*":{k:{l:"~J",m:"~i"}}}, -"@G|@F|@E":{"*":{k:"~s"}}, -"@a|@@":{"*":{k:"%r"}}, -"%A":{"*":{k:"%C"}}, -"~B":{"*":{k:"~s"}}}),g:{}}, -t.c["%s"]={e:t.C({"~C":{"*":{k:"~T"}}, -"%B":{"*":{k:"%t"}}, -"@a|@@":{"*":{k:"%r"}}, -"@z":{"*":{k:["~T","rm"]}}, -"@p|@G|@F|@E":{"*":{k:["~T","~s"]}}, -"~A":{"*":{k:"%t"}}}),g:{"~T": -function(n,r){if(n.text){var t={l:"%s",p1:n.text};for(var o in n)delete n[o];return t}return null}}}, -t.c.pq={e:t.C({"~C":{"*":{}}, -"%n":{"*":{k:"%p"}}, -i$:{0:{n:"!f",s:!0}}, -"@b":{0:{k:"rm",n:"0"}}, -"~E":{0:{n:"f",s:!0}}, -"@j":{0:{k:"@k"}}, -"~A":{0:{n:"!f",s:!0}}, -"@a|@@":{"*":{k:"%r"}}, -"%A":{"*":{k:"%s"}}, -"~@":{f:{k:"%r"}}, -"~M":{"*":{k:"rm"}}, -"@h":{"*":{k:"@l"}}, -",":{"*":{k:{l:"~K",m:"~p"}}}, -"@x|@v":{"*":{k:"~k"}}, -"@w":{"*":{k:"~m"}}, -"@u":{"*":{k:"ce"}}, -"@p|@G|@F|@E":{"*":{k:"~s"}}, -"~B":{"*":{k:"~s"}}}),g:{"%p": -function(n,r){return r=t.go(r,"o"),{l:"%K",p1:r}}, -"~k": -function(n,r){return{l:"~j",F:r[0],G:t.go(r[1],"pq")}}}}, -t.c.bd={e:t.C({"~C":{"*":{}}, -x$:{0:{n:"!f",s:!0}}, -"~E":{0:{n:"f",s:!0}}, -"~A":{0:{n:"!f",s:!0}}, -"@g":{"*":{k:"@l"}}, -".":{"*":{k:{l:"~J",m:"~y"}}}, -"~@":{f:{k:"%r"}}, -x:{"*":{k:{l:"~J",m:"@n"}}}, -"~M":{"*":{k:"rm"}}, -"'":{"*":{k:{l:"~J",m:"%%"}}}, -"@a|@@":{"*":{k:"%r"}}, -"%A":{"*":{k:"%s"}}, -"@x|@v":{"*":{k:"~k"}}, -"@w":{"*":{k:"~m"}}, -"@u":{"*":{k:"ce"}}, -"@p|@G|@F|@E":{"*":{k:"~s"}}, -"~B":{"*":{k:"~s"}}}),g:{"~k": -function(n,r){return{l:"~j",F:r[0],G:t.go(r[1],"bd")}}}}, -t.c["~Y"]={e:t.C({"~C":{"*":{}}, -"%d":{"*":{k:"%e"}}, -"@a|@@":{"*":{k:"%r"}}, -"~A":{"*":{k:"~s"}}}),g:{"%e": -function(n,r){return{l:"%d",p1:r}}}}, -t.c["%r"]={e:t.C({"~C":{"*":{k:"~T"}}, -"@u":{"*":{k:["~T","ce"]}}, -"%B|@p|@G|@F|@E":{"*":{k:"o="}}, -"~A":{"*":{k:"o="}}}),g:{"~T": -function(n,r){if(n.o){var t={l:"%r",p1:n.o};for(var o in n)delete n[o];return t}return null}}}, -t.c["%q"]={e:t.C({"~C":{"*":{k:"~T"}}, -"@u":{"*":{k:["~T","ce"]}}, -"%B|@p|@G|@F|@E":{"*":{k:"o="}}, -"-|+":{"*":{k:"%u"}}, -"~A":{"*":{k:"o="}}}),g:{"%u": -function(n,r){n.o=(n.o||"")+"{"+r+"}"},"~T": -function(n,r){if(n.o){var t={l:"%r",p1:n.o};for(var o in n)delete n[o];return t}return null}}}, -t.c["@l"]={e:t.C({"~C":{"*":{}}, -",":{"*":{k:"~q"}}, -"~A":{"*":{k:"~s"}}}),g:{"~q": -function(n,r){return{l:"~r"}}}}, -t.c.pu={e:t.C({"~C":{"*":{k:"~T"}}, -"@K|@c":{"0|a":{k:"~s"}}, -aj:{0:{k:"ak",n:"a"}}, -"%T":{0:{k:"%Z",n:"a"}}, -"%m":{"0|a":{}}, -ai:{"0|a":{k:{l:"~Q",m:"\\pm"},n:"0"}}, -"~Q":{"0|a":{k:"~s",n:"0"}}, -"//":{d:{k:"o=",n:"/"}}, -"/":{d:{k:"o=",n:"/"}}, -"%B|~A":{"0|d":{k:"d=",n:"d"},a:{k:["%m","d="],n:"d"},"/|q":{k:"q=",n:"q"}}}),g:{"%Z": -function(n,r){var o=[];return"+-"===r[0]||"+/-"===r[0]?o.push("\\pm "):r[0]&&o.push(r[0]),r[1]&&(o=t.j(o,t.go(r[1],"%X")),r[2]&&(r[2].match(/[,.]/)?o=t.j(o,t.go(r[2],"%X")):o.push(r[2])),r[3]=r[4]||r[3],r[3]&&(r[3]=r[3].trim(),"e"===r[3]||"*"===r[3].substr(0,1)?o.push({l:"%N"}):o.push({l:"%P"}))),r[3]&&o.push("10^{"+r[5]+"}"),o},ak: -function(n,r){var o=[];return"+-"===r[0]||"+/-"===r[0]?o.push("\\pm "):r[0]&&o.push(r[0]),o=t.j(o,t.go(r[1],"%X")),o.push("^{"+r[2]+"}"),o},"~Q": -function(n,r,t){return{l:"~Q",A:t||r}}, -"%m": -function(n,r){return{l:"%Q"}}, -"~T": -function(n,r){var o,e=t.h("%A",n.d||"");e&&""===e.t&&(n.d=e.h);var a=t.h("%A",n.q||"");a&&""===a.t&&(n.q=a.h),n.d&&(n.d=n.d.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),n.d=n.d.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F")),n.q?(n.d=t.go(n.d,"pu"),n.q=n.q.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),n.q=n.q.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F"),n.q=t.go(n.q,"pu"),"//"===n.o?o={l:"%S",p1:n.d,p2:n.q}:(o=n.d,o=n.d.length>1||n.q.length>1?t.j(o,{l:"%V"}):t.j(o,{l:"/"}),o=t.j(o,n.q))):o=t.go(n.d,"%R");for(var u in n)delete n[u];return o}}}, -t.c["%R"]={e:t.C({"~C":{"*":{k:"~T"}}, -"*":{"*":{k:["~T","%N"],n:"0"}}, -"@E":{"*":{k:"%c"},n:"1"},"%m":{"*":{k:["~T","%m"],n:"0"}}, -"@P|%U":{1:{k:"%U"}}, -"@h":{0:{k:"%c",n:"0"},1:{k:"%U",n:"0"}}, -"%B|~A":{"*":{k:"%c",n:"1"}}}),g:{"%N": -function(n,r){return{l:"%O"}}, -"%U": -function(n,r){n.rm+="^{"+r+"}"},"%m": -function(n,r){return{l:"ah"}}, -"~T": -function(n,r){var o;if(n.rm){var e=t.h("%A",n.rm||"");o=e&&""===e.t?t.go(e.h,"pu"):{l:"rm",p1:n.rm}}for(var a in n)delete n[a];return o}}}, -t.c["%X"]={e:t.C({"~C":{0:{k:"~U"},o:{k:"~V"}}, -",":{0:{k:["~U","~q"],n:"o"}}, -".":{0:{k:["~U","~s"],n:"o"}}, -"~A":{"*":{k:"%t"}}}),g:{"~q": -function(n,r){return{l:"~r"}}, -"~U": -function(n,r){var t=[];if(n.text.length>4){var o=n.text.length%3;0===o&&(o=3);for(var e=n.text.length-3;e>0;e-=3)t.push(n.text.substr(e,3)),t.push({l:"%W"});t.push(n.text.substr(0,o)),t.reverse()}else t.push(n.text);for(var a in n)delete n[a];return t},"~V": -function(n,r){var t=[];if(n.text.length>4){for(var o=n.text.length-3,e=0;e"===n.r||"<=>>"===n.r||"<<=>"===n.r||"<-->"===n.r?(r="\\long"+r,n.rd&&(r="\\overset{"+n.rd+"}{"+r+"}"),n.rq&&(r="\\underset{\\lower7mu{"+n.rq+"}}{"+r+"}"),r=" {}\\mathrel{"+r+"}{} "):(n.rq&&(r+="[{"+n.rq+"}]"),r+="{"+n.rd+"}",r=" {}\\mathrel{\\x"+r+"}{} "):r=" {}\\mathrel{\\long"+r+"}{} ",r},"~Q": -function(n){return o.K[n.A]}}, -J:{"->":"rightarrow","\u2192":"rightarrow","\u27f6":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<-->":"leftrightarrows","<=>":"rightleftharpoons","\u21cc":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons"},I:{"-":"{-}",1:"{-}","=":"{=}",2:"{=}","#":"{\\equiv}",3:"{\\equiv}","~":"{\\tripledash}","~-":"{\\rlap{\\lower.1em{-}}\\raise.1em{\\tripledash}}","~=":"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}","~--":"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}","-~-":"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{-}}\\tripledash}","...":"{{\\cdot}{\\cdot}{\\cdot}}","....":"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}","->":"{\\rightarrow}","<-":"{\\leftarrow}","<":"{<}",">":"{>}"},L:{"%m":" ","~D":"~","%Q":"~",ah:"\\mkern3mu ","%W":"\\mkern2mu ","~r":"{,}","~n":"{{0}}\\mkern6mu ","~o":"{{0}}\\mkern3mu ","~p":"{{0}}\\mkern1mu ","~I":"\\text{-}","~~":"\\,{\\cdot}\\,","~y":"\\mkern1mu \\bullet\\mkern1mu ","@n":"{\\times}","%%":"\\prime ","%N":"\\cdot ","%O":"\\mkern1mu{\\cdot}\\mkern1mu ","%P":"\\times ","~i":"{\\sim}","^":"uparrow",v:"downarrow","~z":"\\ldots ","/":"/","%V":"\\,/\\,",al:"{0} "},K:{"+":" {}+{} ","-":" {}-{} ","=":" {}={} ","<":" {}<{} ",">":" {}>{} ","<<":" {}\\ll{} ",">>":" {}\\gg{} ","\\pm":" {}\\pm{} ","\\approx":" {}\\approx{} ","$\\approx$":" {}\\approx{} ",v:" \\downarrow{} ","(v)":" \\downarrow{} ","^":" \\uparrow{} ","(^)":" \\uparrow{} "},go: -function(n,r){if(!n)return n;for(var t="",o=!1,e=0;e1||r.q.length>1?n.push({l:"%S"}):n.push({l:"/"}),e.v(n,r.q))}else n=e.go(t.d,"%O");for(var i in t)delete t[i];return n}}}, +"%O":{u:e.C({"~z":{"*":{h:"~Q"}}, +"*":{"*":{h:["~Q","%K"],g:"0"}}, +"@F":{"*":{h:"%`"}}, +"%j":{"*":{h:["~Q","%j"],g:"0"}}, +"@Q|%R":{1:{h:"%R"}}, +"@i":{0:{h:"%`",g:"0"},1:{h:"%R",g:"0"}}, +"%y|~x":{"*":{h:"%`",g:"1"}}}),m:{ +"%K":function(){return{l:"%L"}}, +"%R":function(t,n){t.rm+="^{"+n+"}"}, +"%j":function(){return{l:"`%"}}, +"~Q":function(t){var n=[];if(t.rm){var a=e._.s("%x",t.rm||"");n=a&&""===a.$?e.go(a.s,"pu"):{l:"rm",p1:t.rm}}for(var o in t)delete t[o];return n}}}, +"%U":{u:e.C({"~z":{0:{h:"~R"},o:{h:"~S"}}, +",":{0:{h:["~R","~n"],g:"o"}}, +".":{0:{h:["~R","~p"],g:"o"}}, +"~x":{"*":{h:"%q"}}}),m:{ +"~n":function(){return{l:"~o"}}, +"~R":function(t){var n=[];if(t.F=t.F||"",t.F.length>4){var e=t.F.length%3;0===e&&(e=3);for(var a=t.F.length-3;a>0;a-=3)n.push(t.F.substr(a,3)),n.push({l:"%T"});n.push(t.F.substr(0,e)),n.reverse()}else n.push(t.F);for(var o in t)delete t[o];return n}, +"~S":function(t){var n=[];if(t.F=t.F||"",t.F.length>4){for(var e=t.F.length-3,a=0;a"===t.r||"<=>>"===t.r||"<<=>"===t.r||"<--\x3e"===t.r?(u="\\long"+u,i&&(u="\\overset{"+i+"}{"+u+"}"),c&&(u="\\underset{\\lower7mu{"+c+"}}{"+u+"}"),u=" {}\\mathrel{"+u+"}{} "):(c&&(u+="[{"+c+"}]"),u=" {}\\mathrel{\\x"+(u+="{"+i+"}")+"}{} "):u=" {}\\mathrel{\\long"+u+"}{} ",n=u;break;case"~N":n=a.J(t.B);break;case"`c":n=t.p1+" ";break;case"%j":n=" ";break;case"~A":case"%N":n="~";break;case"`%":n="\\mkern3mu ";break;case"%T":n="\\mkern2mu ";break;case"~o":n="{,}";break;case"~k":n="{"+t.p1+"}\\mkern6mu ";break;case"~l":n="{"+t.p1+"}\\mkern3mu ";break;case"~m":n="{"+t.p1+"}\\mkern1mu ";break;case"~F":n="\\text{-}";break;case"@Y":n="\\,{\\cdot}\\,";break;case"~v":n="\\mkern1mu \\bullet\\mkern1mu ";break;case"@o":n="{\\times}";break;case"%@":n="\\prime ";break;case"%K":n="\\cdot ";break;case"%L":n="\\mkern1mu{\\cdot}\\mkern1mu ";break;case"%M":n="\\times ";break;case"~f":n="{\\sim}";break;case"^":n="uparrow";break;case"v":n="downarrow";break;case"~w":n="\\ldots ";break;case"/":n="/";break;case"%S":n="\\,/\\,";break;default:throw["MhchemBugT","mhchem bug T. Please report."]}return n}, +H:function(t){switch(t){case"->":case"\u2192":case"\u27f6":return"rightarrow";case"<-":return"leftarrow";case"<->":return"leftrightarrow";case"<--\x3e":return"leftrightarrows";case"<=>":case"\u21cc":return"rightleftharpoons";case"<=>>":return"Rightleftharpoons";case"<<=>":return"Leftrightharpoons";default:throw["MhchemBugT","mhchem bug T. Please report."]}}, +j:function(t){switch(t){case"-":case"1":return"{-}";case"=":case"2":return"{=}";case"#":case"3":return"{\\equiv}";case"~":return"{\\tripledash}";case"~-":return"{\\rlap{\\lower.1em{-}}\\raise.1em{\\tripledash}}";case"~=":case"~--":return"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}";case"-~-":return"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{-}}\\tripledash}";case"...":return"{{\\cdot}{\\cdot}{\\cdot}}";case"....":return"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";case"->":return"{\\rightarrow}";case"<-":return"{\\leftarrow}";case"<":return"{<}";case">":return"{>}";default:throw["MhchemBugT","mhchem bug T. Please report."]}}, +J:function(t){switch(t){case"+":return" {}+{} ";case"-":return" {}-{} ";case"=":return" {}={} ";case"<":return" {}<{} ";case">":return" {}>{} ";case"<<":return" {}\\ll{} ";case">>":return" {}\\gg{} ";case"\\pm":return" {}\\pm{} ";case"\\approx":case"$\\approx$":return" {}\\approx{} ";case"v":case"(v)":return" \\downarrow{} ";case"^":case"(^)":return" \\uparrow{} ";default:throw["MhchemBugT","mhchem bug T. Please report."]}}};MathJax.Extension["TeX/mhchem"].CE=n,t.Definitions.Add({macros:{ce:"CE",pu:"PU",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{\\leftharpoondown}}"],longLeftrightharpoons:["Macro","\\stackrel{\\textstyle\\vphantom{{-}}{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longleftrightarrows:["Macro","\\stackrel{\\longrightarrow}{\\smash{\\longleftarrow}\\Rule{0px}{.25em}{0px}}"],tripledash:["Macro","\\vphantom{-}\\raise2mu{\\kern2mu\\tiny\\text{-}\\kern1mu\\text{-}\\kern1mu\\text{-}\\kern2mu}"]}}, +null,!0),MathJax.Extension["TeX/AMSmath"]||t.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}}, +null,!0),MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){t.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}}, +null,!0)}),t.Parse.Augment({ +CE:function(t){var e=this.GetArgument(t),a=n(e).Parse();this.string=a+this.string.substr(this.i),this.i=0}, +PU:function(t){var e=this.GetArgument(t),a=n(e).Parse("pu");this.string=a+this.string.substr(this.i),this.i=0}}),MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")}),MathJax.Ajax.loadComplete("[mhchem]/mhchem.js"); diff --git a/package.json b/package.json index 693a3b577c..9dadaeb7ae 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "mathjax", - "version": "2.7.5", + "version": "2.7.6", "description": "Beautiful math in all browsers. MathJax is an open-source JavaScript display engine for LaTeX, MathML, and AsciiMath notation that works in all browsers.", "keywords": [ "math", diff --git a/test/examples.html b/test/examples.html index 738c7b05a0..9bd362ed9c 100644 --- a/test/examples.html +++ b/test/examples.html @@ -2,7 +2,7 @@ MathJax Example Page - + diff --git a/test/index-images.html b/test/index-images.html index 8149dcfecc..1b0bbd64dc 100644 --- a/test/index-images.html +++ b/test/index-images.html @@ -2,7 +2,7 @@ MathJax Test Page - + diff --git a/test/index.html b/test/index.html index 9a57826bc0..dc6495ac16 100644 --- a/test/index.html +++ b/test/index.html @@ -2,7 +2,7 @@ MathJax Test Page - + diff --git a/test/localization.html b/test/localization.html index baaee7b57b..5d64730386 100644 --- a/test/localization.html +++ b/test/localization.html @@ -2,7 +2,7 @@ Localization - + diff --git a/test/sample-all-at-once.html b/test/sample-all-at-once.html index 2a9f41e25b..b2f04523f7 100644 --- a/test/sample-all-at-once.html +++ b/test/sample-all-at-once.html @@ -2,7 +2,7 @@ Wait Until MathJax is Finished Before Showing Page - + diff --git a/test/sample-asciimath.html b/test/sample-asciimath.html index 3584f79083..4ca0b48b88 100644 --- a/test/sample-asciimath.html +++ b/test/sample-asciimath.html @@ -2,7 +2,7 @@ MathJax AsciiMath Test Page - + diff --git a/test/sample-autoload.html b/test/sample-autoload.html index 6f15dc54d5..0b62955586 100644 --- a/test/sample-autoload.html +++ b/test/sample-autoload.html @@ -2,7 +2,7 @@ Example of defining a macro that autoloads an extension - + diff --git a/test/sample-dynamic-2.html b/test/sample-dynamic-2.html index 197eea91c1..7bfafb0732 100644 --- a/test/sample-dynamic-2.html +++ b/test/sample-dynamic-2.html @@ -2,7 +2,7 @@ Dynamic Preview of Textarea with MathJax Content - + diff --git a/test/sample-dynamic-steps.html b/test/sample-dynamic-steps.html index d4625d436a..3f8715d244 100644 --- a/test/sample-dynamic-steps.html +++ b/test/sample-dynamic-steps.html @@ -2,7 +2,7 @@ MathJax Dynamic Steps Test Page - + diff --git a/test/sample-dynamic.html b/test/sample-dynamic.html index b5acefaa17..b49b1f679d 100644 --- a/test/sample-dynamic.html +++ b/test/sample-dynamic.html @@ -2,7 +2,7 @@ MathJax Dynamic Math Test Page - + diff --git a/test/sample-eqnum.html b/test/sample-eqnum.html index 5c6c7a6051..feca1555a3 100644 --- a/test/sample-eqnum.html +++ b/test/sample-eqnum.html @@ -2,7 +2,7 @@ MathJax Equation Numbering - + diff --git a/test/sample-eqrefs.html b/test/sample-eqrefs.html index 330842bd6b..eb7df054c5 100644 --- a/test/sample-eqrefs.html +++ b/test/sample-eqrefs.html @@ -2,7 +2,7 @@ MathJax Equation References - + diff --git a/test/sample-loader-config.html b/test/sample-loader-config.html index 0095489b19..739c39c6c4 100644 --- a/test/sample-loader-config.html +++ b/test/sample-loader-config.html @@ -2,7 +2,7 @@ Load MathJax with in-line configuration after the page is ready - + diff --git a/test/sample-loader.html b/test/sample-loader.html index a397f620c6..3cb2227d8d 100644 --- a/test/sample-loader.html +++ b/test/sample-loader.html @@ -2,7 +2,7 @@ Load MathJax after the page is ready - + diff --git a/test/sample-macros.html b/test/sample-macros.html index d459a2a4df..0af8859cd2 100644 --- a/test/sample-macros.html +++ b/test/sample-macros.html @@ -2,7 +2,7 @@ Example of defining a macro that autoloads an extension - + diff --git a/test/sample-mml.html b/test/sample-mml.html index e8e0ed66eb..be277d33e4 100644 --- a/test/sample-mml.html +++ b/test/sample-mml.html @@ -2,7 +2,7 @@ MathJax MathML Test Page - + diff --git a/test/sample-signals.html b/test/sample-signals.html index e1b50e2c6d..c32b0d439a 100644 --- a/test/sample-signals.html +++ b/test/sample-signals.html @@ -2,7 +2,7 @@ MathJax Signals Test Page - + diff --git a/test/sample-tex.html b/test/sample-tex.html index 374099b31a..cdb418c1f1 100644 --- a/test/sample-tex.html +++ b/test/sample-tex.html @@ -2,7 +2,7 @@ MathJax TeX Test Page - + diff --git a/test/sample.html b/test/sample.html index 7a1509866a..3bce087c19 100644 --- a/test/sample.html +++ b/test/sample.html @@ -2,7 +2,7 @@ MathJax Test Page - + diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js index 48101fa721..5934273a22 100644 --- a/unpacked/MathJax.js +++ b/unpacked/MathJax.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -45,9 +45,9 @@ if (window.MathJax) {window.MathJax = {AuthorConfig: window.MathJax}} // MathJax.isPacked = true; // This line is uncommented by the packer. -MathJax.version = "2.7.5"; -MathJax.fileversion = "2.7.5"; -MathJax.cdnVersion = "2.7.5"; // specifies a revision to break caching +MathJax.version = "2.7.6"; +MathJax.fileversion = "2.7.6"; +MathJax.cdnVersion = "2.7.6"; // specifies a revision to break caching MathJax.cdnFileVersions = {}; // can be used to specify revisions for individual files /**********************************************************/ @@ -2910,7 +2910,7 @@ MathJax.Hub.Startup = { } },{ id: "Jax", - version: "2.7.5", + version: "2.7.6", directory: ROOT+"/jax", extensionDir: ROOT+"/extensions" }); @@ -2956,7 +2956,7 @@ MathJax.Hub.Startup = { } },{ id: "InputJax", - version: "2.7.5", + version: "2.7.6", directory: JAX.directory+"/input", extensionDir: JAX.extensionDir }); @@ -2990,7 +2990,7 @@ MathJax.Hub.Startup = { Remove: function (jax) {} },{ id: "OutputJax", - version: "2.7.5", + version: "2.7.6", directory: JAX.directory+"/output", extensionDir: JAX.extensionDir, fontDir: ROOT+(BASE.isPacked?"":"/..")+"/fonts", @@ -3074,7 +3074,7 @@ MathJax.Hub.Startup = { } },{ id: "ElementJax", - version: "2.7.5", + version: "2.7.6", directory: JAX.directory+"/element", extensionDir: JAX.extensionDir, ID: 0, // jax counter (for IDs) @@ -3098,7 +3098,7 @@ MathJax.Hub.Startup = { // Some "Fake" jax used to allow menu access for "Math Processing Error" messages // BASE.OutputJax.Error = { - id: "Error", version: "2.7.5", config: {}, errors: 0, + id: "Error", version: "2.7.6", config: {}, errors: 0, ContextMenu: function () {return BASE.Extension.MathEvents.Event.ContextMenu.apply(BASE.Extension.MathEvents.Event,arguments)}, Mousedown: function () {return BASE.Extension.MathEvents.Event.AltContextMenu.apply(BASE.Extension.MathEvents.Event,arguments)}, getJaxFromMath: function (math) {return (math.nextSibling.MathJax||{}).error}, @@ -3117,7 +3117,7 @@ MathJax.Hub.Startup = { } }; BASE.InputJax.Error = { - id: "Error", version: "2.7.5", config: {}, + id: "Error", version: "2.7.6", config: {}, sourceMenuTitle: /*_(MathMenu)*/ ["Original","Original Form"] }; diff --git a/unpacked/config/AM_CHTML-full.js b/unpacked/config/AM_CHTML-full.js index ab7e2bbb9f..50dcc84c13 100644 --- a/unpacked/config/AM_CHTML-full.js +++ b/unpacked/config/AM_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_CHTML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_CHTML.js b/unpacked/config/AM_CHTML.js index 5a4f72f38c..b3d24528dc 100644 --- a/unpacked/config/AM_CHTML.js +++ b/unpacked/config/AM_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_CHTML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_HTMLorMML-full.js b/unpacked/config/AM_HTMLorMML-full.js index 216217f4d5..5e89cd15e0 100644 --- a/unpacked/config/AM_HTMLorMML-full.js +++ b/unpacked/config/AM_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_HTMLorMML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_HTMLorMML.js b/unpacked/config/AM_HTMLorMML.js index 6259a7d2ac..53c0fd0506 100644 --- a/unpacked/config/AM_HTMLorMML.js +++ b/unpacked/config/AM_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_HTMLorMML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_SVG-full.js b/unpacked/config/AM_SVG-full.js index cb0635f1f3..23fc5a5dca 100644 --- a/unpacked/config/AM_SVG-full.js +++ b/unpacked/config/AM_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_SVG-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_SVG.js b/unpacked/config/AM_SVG.js index 1ad6db95a6..4cb295b879 100644 --- a/unpacked/config/AM_SVG.js +++ b/unpacked/config/AM_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_SVG.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/Accessible-full.js b/unpacked/config/Accessible-full.js index 9910e5bfa9..0de714d7db 100644 --- a/unpacked/config/Accessible-full.js +++ b/unpacked/config/Accessible-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/Accessible-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/Accessible.js b/unpacked/config/Accessible.js index efba6db551..f6236ba951 100644 --- a/unpacked/config/Accessible.js +++ b/unpacked/config/Accessible.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/Accessible.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_CHTML-full.js b/unpacked/config/MML_CHTML-full.js index 140d1990fa..b19d5a1771 100644 --- a/unpacked/config/MML_CHTML-full.js +++ b/unpacked/config/MML_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_CHTML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_CHTML.js b/unpacked/config/MML_CHTML.js index 36e54337de..550a2e680f 100644 --- a/unpacked/config/MML_CHTML.js +++ b/unpacked/config/MML_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_CHTML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_HTMLorMML-full.js b/unpacked/config/MML_HTMLorMML-full.js index 06ac2d2801..050fe6bbeb 100644 --- a/unpacked/config/MML_HTMLorMML-full.js +++ b/unpacked/config/MML_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_HTMLorMML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_HTMLorMML.js b/unpacked/config/MML_HTMLorMML.js index d9721795de..29e3a58a00 100644 --- a/unpacked/config/MML_HTMLorMML.js +++ b/unpacked/config/MML_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_HTMLorMML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_SVG-full.js b/unpacked/config/MML_SVG-full.js index 031c63af83..e7c7b4ed35 100644 --- a/unpacked/config/MML_SVG-full.js +++ b/unpacked/config/MML_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_SVG-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_SVG.js b/unpacked/config/MML_SVG.js index ae1a02f963..0e68f96177 100644 --- a/unpacked/config/MML_SVG.js +++ b/unpacked/config/MML_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_SVG.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MMLorHTML.js b/unpacked/config/MMLorHTML.js index 9d9b34a13b..b4b5216aa6 100644 --- a/unpacked/config/MMLorHTML.js +++ b/unpacked/config/MMLorHTML.js @@ -34,7 +34,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/config/Safe.js b/unpacked/config/Safe.js index 0bffafc470..0a41e2cf27 100644 --- a/unpacked/config/Safe.js +++ b/unpacked/config/Safe.js @@ -14,7 +14,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js b/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js index a3b691528b..2dc26aa725 100644 --- a/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js +++ b/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_HTMLorMML.js b/unpacked/config/TeX-AMS-MML_HTMLorMML.js index 475fbdf233..b640cb2eab 100644 --- a/unpacked/config/TeX-AMS-MML_HTMLorMML.js +++ b/unpacked/config/TeX-AMS-MML_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_HTMLorMML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_SVG-full.js b/unpacked/config/TeX-AMS-MML_SVG-full.js index 2c2a6276b6..7d3a3401b5 100644 --- a/unpacked/config/TeX-AMS-MML_SVG-full.js +++ b/unpacked/config/TeX-AMS-MML_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_SVG-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_SVG.js b/unpacked/config/TeX-AMS-MML_SVG.js index 885f246110..b09c48430a 100644 --- a/unpacked/config/TeX-AMS-MML_SVG.js +++ b/unpacked/config/TeX-AMS-MML_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_SVG.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_CHTML-full.js b/unpacked/config/TeX-AMS_CHTML-full.js index 0b985a3bd0..738e6ecf50 100644 --- a/unpacked/config/TeX-AMS_CHTML-full.js +++ b/unpacked/config/TeX-AMS_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_CHTML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_CHTML.js b/unpacked/config/TeX-AMS_CHTML.js index 57d054972f..e39d1e9ef2 100644 --- a/unpacked/config/TeX-AMS_CHTML.js +++ b/unpacked/config/TeX-AMS_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_CHTML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_HTML-full.js b/unpacked/config/TeX-AMS_HTML-full.js index 851f5b58d8..3c53247927 100644 --- a/unpacked/config/TeX-AMS_HTML-full.js +++ b/unpacked/config/TeX-AMS_HTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_HTML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_HTML.js b/unpacked/config/TeX-AMS_HTML.js index 80e00a2907..b546d8ed77 100644 --- a/unpacked/config/TeX-AMS_HTML.js +++ b/unpacked/config/TeX-AMS_HTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_HTML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_SVG-full.js b/unpacked/config/TeX-AMS_SVG-full.js index aeba7faf81..b19ff33e21 100644 --- a/unpacked/config/TeX-AMS_SVG-full.js +++ b/unpacked/config/TeX-AMS_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_SVG-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_SVG.js b/unpacked/config/TeX-AMS_SVG.js index 847e4da4c7..006a5cd00d 100644 --- a/unpacked/config/TeX-AMS_SVG.js +++ b/unpacked/config/TeX-AMS_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_SVG.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_CHTML-full.js b/unpacked/config/TeX-MML-AM_CHTML-full.js index f521b8e099..fea548f0dc 100644 --- a/unpacked/config/TeX-MML-AM_CHTML-full.js +++ b/unpacked/config/TeX-MML-AM_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_CHTML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_CHTML.js b/unpacked/config/TeX-MML-AM_CHTML.js index 8361462fea..bf932a4d89 100644 --- a/unpacked/config/TeX-MML-AM_CHTML.js +++ b/unpacked/config/TeX-MML-AM_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_CHTML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_HTMLorMML-full.js b/unpacked/config/TeX-MML-AM_HTMLorMML-full.js index 2c0293c558..e77cf71455 100644 --- a/unpacked/config/TeX-MML-AM_HTMLorMML-full.js +++ b/unpacked/config/TeX-MML-AM_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_HTMLorMML-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_HTMLorMML.js b/unpacked/config/TeX-MML-AM_HTMLorMML.js index f9b5e5f7aa..6d60279c86 100644 --- a/unpacked/config/TeX-MML-AM_HTMLorMML.js +++ b/unpacked/config/TeX-MML-AM_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_HTMLorMML.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_SVG-full.js b/unpacked/config/TeX-MML-AM_SVG-full.js index 66d520505c..be14257d6b 100644 --- a/unpacked/config/TeX-MML-AM_SVG-full.js +++ b/unpacked/config/TeX-MML-AM_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_SVG-full.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_SVG.js b/unpacked/config/TeX-MML-AM_SVG.js index 83ed816d7c..e7115214e7 100644 --- a/unpacked/config/TeX-MML-AM_SVG.js +++ b/unpacked/config/TeX-MML-AM_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_SVG.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/default.js b/unpacked/config/default.js index a4120d4872..cb92502e65 100644 --- a/unpacked/config/default.js +++ b/unpacked/config/default.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/config/local/local.js b/unpacked/config/local/local.js index cf2c67805c..8aad924bb4 100644 --- a/unpacked/config/local/local.js +++ b/unpacked/config/local/local.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/extensions/AssistiveMML.js b/unpacked/extensions/AssistiveMML.js index 10b5af4e1f..6586c8e586 100644 --- a/unpacked/extensions/AssistiveMML.js +++ b/unpacked/extensions/AssistiveMML.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -29,7 +29,7 @@ var SETTINGS = HUB.config.menuSettings; var AssistiveMML = MathJax.Extension["AssistiveMML"] = { - version: "2.7.5", + version: "2.7.6", config: HUB.CombineConfig("AssistiveMML",{ disabled: false, diff --git a/unpacked/extensions/CHTML-preview.js b/unpacked/extensions/CHTML-preview.js index f35a233e8b..ce9762818e 100644 --- a/unpacked/extensions/CHTML-preview.js +++ b/unpacked/extensions/CHTML-preview.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2014-2018 The MathJax Consortium + * Copyright (c) 2014-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/extensions/FontWarnings.js b/unpacked/extensions/FontWarnings.js index 9959529309..e0ca2f2842 100644 --- a/unpacked/extensions/FontWarnings.js +++ b/unpacked/extensions/FontWarnings.js @@ -70,7 +70,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -86,7 +86,7 @@ */ (function (HUB,HTML) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var STIXURL = "http://www.stixfonts.org/"; var MATHJAXURL = "https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf"; diff --git a/unpacked/extensions/HTML-CSS/handle-floats.js b/unpacked/extensions/HTML-CSS/handle-floats.js index 01fdcec38d..edba1edd1c 100644 --- a/unpacked/extensions/HTML-CSS/handle-floats.js +++ b/unpacked/extensions/HTML-CSS/handle-floats.js @@ -20,7 +20,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2012-2018 The MathJax Consortium + * Copyright (c) 2012-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -37,7 +37,7 @@ MathJax.Extension["HTML-CSS/handle-floats"] = { - version: "2.7.5" + version: "2.7.6" }; // diff --git a/unpacked/extensions/HelpDialog.js b/unpacked/extensions/HelpDialog.js index 4c6120ad0c..9757727774 100644 --- a/unpacked/extensions/HelpDialog.js +++ b/unpacked/extensions/HelpDialog.js @@ -6,7 +6,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,7 +24,7 @@ (function (HUB,HTML,AJAX,OUTPUT,LOCALE) { var HELP = MathJax.Extension.Help = { - version: "2.7.5" + version: "2.7.6" }; var STIXURL = "http://www.stixfonts.org/"; diff --git a/unpacked/extensions/MatchWebFonts.js b/unpacked/extensions/MatchWebFonts.js index 8fd7cad785..5aec24f255 100644 --- a/unpacked/extensions/MatchWebFonts.js +++ b/unpacked/extensions/MatchWebFonts.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -28,7 +28,7 @@ */ (function (HUB,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var CONFIG = MathJax.Hub.CombineConfig("MatchWebFonts",{ matchFor: { diff --git a/unpacked/extensions/MathEvents.js b/unpacked/extensions/MathEvents.js index a496b84e5a..883d9f2e63 100644 --- a/unpacked/extensions/MathEvents.js +++ b/unpacked/extensions/MathEvents.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ (function (HUB,HTML,AJAX,CALLBACK,LOCALE,OUTPUT,INPUT) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var EXTENSION = MathJax.Extension; var ME = EXTENSION.MathEvents = {version: VERSION}; diff --git a/unpacked/extensions/MathML/content-mathml.js b/unpacked/extensions/MathML/content-mathml.js index a527abdabf..6591be516a 100644 --- a/unpacked/extensions/MathML/content-mathml.js +++ b/unpacked/extensions/MathML/content-mathml.js @@ -28,7 +28,7 @@ * The remainder falls under the copyright that follows. * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -78,7 +78,7 @@ MathJax.Extension["MathML/content-mathml"] = (function(HUB) { }); var CToP = { - version: "2.7.5", + version: "2.7.6", settings: CONFIG, /* Transform the given elements from Content MathML to Presentation MathML and replace the original elements diff --git a/unpacked/extensions/MathML/mml3.js b/unpacked/extensions/MathML/mml3.js index 92fbbcd283..5d5047fb3f 100644 --- a/unpacked/extensions/MathML/mml3.js +++ b/unpacked/extensions/MathML/mml3.js @@ -25,7 +25,7 @@ * The remainder falls under the copyright that follows. * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -42,7 +42,7 @@ MathJax.Extension["MathML/mml3"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("MathML Jax Ready",function () { diff --git a/unpacked/extensions/MathMenu.js b/unpacked/extensions/MathMenu.js index d05d8f3631..382de9c370 100644 --- a/unpacked/extensions/MathMenu.js +++ b/unpacked/extensions/MathMenu.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ */ (function (HUB,HTML,AJAX,CALLBACK,OUTPUT) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var SIGNAL = MathJax.Callback.Signal("menu"); // signal for menu events diff --git a/unpacked/extensions/MathZoom.js b/unpacked/extensions/MathZoom.js index fcce3df380..4f3d78c138 100644 --- a/unpacked/extensions/MathZoom.js +++ b/unpacked/extensions/MathZoom.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ (function (HUB,HTML,AJAX,HTMLCSS,nMML) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var CONFIG = HUB.CombineConfig("MathZoom",{ styles: { diff --git a/unpacked/extensions/Safe.js b/unpacked/extensions/Safe.js index e013aa202f..d947db09fe 100644 --- a/unpacked/extensions/Safe.js +++ b/unpacked/extensions/Safe.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ */ (function (HUB,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var CONFIG = MathJax.Hub.CombineConfig("Safe",{ allow: { diff --git a/unpacked/extensions/TeX/AMScd.js b/unpacked/extensions/TeX/AMScd.js index 625beb19db..40d3d704cf 100644 --- a/unpacked/extensions/TeX/AMScd.js +++ b/unpacked/extensions/TeX/AMScd.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Extension["TeX/AMScd"] = { - version: "2.7.5", + version: "2.7.6", config: MathJax.Hub.CombineConfig("TeX.CD",{ colspace: "5pt", rowspace: "5pt", diff --git a/unpacked/extensions/TeX/AMSmath.js b/unpacked/extensions/TeX/AMSmath.js index f79a76b404..a5dda33dae 100644 --- a/unpacked/extensions/TeX/AMSmath.js +++ b/unpacked/extensions/TeX/AMSmath.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Extension["TeX/AMSmath"] = { - version: "2.7.5", + version: "2.7.6", number: 0, // current equation number startNumber: 0, // current starting equation number (for when equation is restarted) diff --git a/unpacked/extensions/TeX/AMSsymbols.js b/unpacked/extensions/TeX/AMSsymbols.js index 74b3e62bd3..6ea571e3b3 100644 --- a/unpacked/extensions/TeX/AMSsymbols.js +++ b/unpacked/extensions/TeX/AMSsymbols.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Extension["TeX/AMSsymbols"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/HTML.js b/unpacked/extensions/TeX/HTML.js index c947dd9d3e..a618debe82 100644 --- a/unpacked/extensions/TeX/HTML.js +++ b/unpacked/extensions/TeX/HTML.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Extension["TeX/HTML"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/action.js b/unpacked/extensions/TeX/action.js index a551dd3929..310ade5213 100644 --- a/unpacked/extensions/TeX/action.js +++ b/unpacked/extensions/TeX/action.js @@ -19,7 +19,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -35,7 +35,7 @@ */ MathJax.Extension["TeX/action"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/autobold.js b/unpacked/extensions/TeX/autobold.js index 6ad42ff538..a2ba9c6060 100644 --- a/unpacked/extensions/TeX/autobold.js +++ b/unpacked/extensions/TeX/autobold.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Extension["TeX/autobold"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/autoload-all.js b/unpacked/extensions/TeX/autoload-all.js index e5ed2e50f8..ffbc666352 100644 --- a/unpacked/extensions/TeX/autoload-all.js +++ b/unpacked/extensions/TeX/autoload-all.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Extension["TeX/autoload-all"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/bbox.js b/unpacked/extensions/TeX/bbox.js index 8689460115..5929cfbe49 100644 --- a/unpacked/extensions/TeX/bbox.js +++ b/unpacked/extensions/TeX/bbox.js @@ -30,7 +30,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -46,7 +46,7 @@ */ MathJax.Extension["TeX/bbox"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/begingroup.js b/unpacked/extensions/TeX/begingroup.js index 3600d2c9de..bb922e1793 100644 --- a/unpacked/extensions/TeX/begingroup.js +++ b/unpacked/extensions/TeX/begingroup.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Extension["TeX/begingroup"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/boldsymbol.js b/unpacked/extensions/TeX/boldsymbol.js index 8b0aeebfbd..de0d00b389 100644 --- a/unpacked/extensions/TeX/boldsymbol.js +++ b/unpacked/extensions/TeX/boldsymbol.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Extension["TeX/boldsymbol"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/cancel.js b/unpacked/extensions/TeX/cancel.js index c42c6e3587..2776d4ca95 100644 --- a/unpacked/extensions/TeX/cancel.js +++ b/unpacked/extensions/TeX/cancel.js @@ -16,7 +16,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -32,7 +32,7 @@ */ MathJax.Extension["TeX/cancel"] = { - version: "2.7.5", + version: "2.7.6", // // The attributes allowed in \enclose{notation}[attributes]{math} diff --git a/unpacked/extensions/TeX/color.js b/unpacked/extensions/TeX/color.js index 816ce52ea3..ec6fd3d159 100644 --- a/unpacked/extensions/TeX/color.js +++ b/unpacked/extensions/TeX/color.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -31,7 +31,7 @@ // The configuration defaults, augmented by the user settings // MathJax.Extension["TeX/color"] = { - version: "2.7.5", + version: "2.7.6", config: MathJax.Hub.CombineConfig("TeX.color",{ padding: "5px", diff --git a/unpacked/extensions/TeX/enclose.js b/unpacked/extensions/TeX/enclose.js index ef1440fb3d..6a01cfc9ba 100644 --- a/unpacked/extensions/TeX/enclose.js +++ b/unpacked/extensions/TeX/enclose.js @@ -16,7 +16,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -32,7 +32,7 @@ */ MathJax.Extension["TeX/enclose"] = { - version: "2.7.5", + version: "2.7.6", // // The attributes allowed in \enclose{notation}[attributes]{math} diff --git a/unpacked/extensions/TeX/extpfeil.js b/unpacked/extensions/TeX/extpfeil.js index 804b59e959..302628acae 100644 --- a/unpacked/extensions/TeX/extpfeil.js +++ b/unpacked/extensions/TeX/extpfeil.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Extension["TeX/extpfeil"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/mathchoice.js b/unpacked/extensions/TeX/mathchoice.js index 449377020f..6966e613ac 100644 --- a/unpacked/extensions/TeX/mathchoice.js +++ b/unpacked/extensions/TeX/mathchoice.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml; var TEX = MathJax.InputJax.TeX; diff --git a/unpacked/extensions/TeX/mediawiki-texvc.js b/unpacked/extensions/TeX/mediawiki-texvc.js index 228090ca8a..cb666731b7 100644 --- a/unpacked/extensions/TeX/mediawiki-texvc.js +++ b/unpacked/extensions/TeX/mediawiki-texvc.js @@ -6,7 +6,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -22,7 +22,7 @@ */ MathJax.Extension["TeX/mediawiki-texvc"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () { diff --git a/unpacked/extensions/TeX/mhchem.js b/unpacked/extensions/TeX/mhchem.js index 344edb6a2f..988231d22b 100644 --- a/unpacked/extensions/TeX/mhchem.js +++ b/unpacked/extensions/TeX/mhchem.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -34,7 +34,7 @@ if (MathJax.Extension["TeX/mhchem"]) { } else { MathJax.Extension["TeX/mhchem"] = { - version: "2.7.5", + version: "2.7.6", config: MathJax.Hub.CombineConfig("TeX.mhchem",{ legacy: true }) diff --git a/unpacked/extensions/TeX/newcommand.js b/unpacked/extensions/TeX/newcommand.js index b4edc89226..c1c830a609 100644 --- a/unpacked/extensions/TeX/newcommand.js +++ b/unpacked/extensions/TeX/newcommand.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Extension["TeX/newcommand"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/TeX/noErrors.js b/unpacked/extensions/TeX/noErrors.js index 87acaf90ed..4d640601c4 100644 --- a/unpacked/extensions/TeX/noErrors.js +++ b/unpacked/extensions/TeX/noErrors.js @@ -55,7 +55,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -71,7 +71,7 @@ */ (function (HUB,HTML) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var CONFIG = HUB.CombineConfig("TeX.noErrors",{ disabled: false, // set to true to return to original error messages diff --git a/unpacked/extensions/TeX/noUndefined.js b/unpacked/extensions/TeX/noUndefined.js index ef292d1291..6a0bdd0e41 100644 --- a/unpacked/extensions/TeX/noUndefined.js +++ b/unpacked/extensions/TeX/noUndefined.js @@ -25,7 +25,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -44,7 +44,7 @@ // The configuration defaults, augmented by the user settings // MathJax.Extension["TeX/noUndefined"] = { - version: "2.7.5", + version: "2.7.6", config: MathJax.Hub.CombineConfig("TeX.noUndefined",{ disabled: false, // set to true to return to original error messages attributes: { diff --git a/unpacked/extensions/TeX/unicode.js b/unpacked/extensions/TeX/unicode.js index 629870b8b2..1816659ae9 100644 --- a/unpacked/extensions/TeX/unicode.js +++ b/unpacked/extensions/TeX/unicode.js @@ -43,7 +43,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -62,7 +62,7 @@ // The configuration defaults, augmented by the user settings // MathJax.Extension["TeX/unicode"] = { - version: "2.7.5", + version: "2.7.6", unicode: {}, config: MathJax.Hub.CombineConfig("TeX.unicode",{ fonts: "STIXGeneral,'Arial Unicode MS'" diff --git a/unpacked/extensions/TeX/verb.js b/unpacked/extensions/TeX/verb.js index 348c5012fe..4ea71fea21 100644 --- a/unpacked/extensions/TeX/verb.js +++ b/unpacked/extensions/TeX/verb.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Extension["TeX/verb"] = { - version: "2.7.5" + version: "2.7.6" }; MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { diff --git a/unpacked/extensions/asciimath2jax.js b/unpacked/extensions/asciimath2jax.js index ee3402121b..0dfc782c80 100644 --- a/unpacked/extensions/asciimath2jax.js +++ b/unpacked/extensions/asciimath2jax.js @@ -14,7 +14,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2012-2018 The MathJax Consortium + * Copyright (c) 2012-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -30,7 +30,7 @@ */ MathJax.Extension.asciimath2jax = { - version: "2.7.5", + version: "2.7.6", config: { delimiters: [['`','`']], // The star/stop delimiter pairs for asciimath code diff --git a/unpacked/extensions/fast-preview.js b/unpacked/extensions/fast-preview.js index e3189be3e8..de733da5f8 100644 --- a/unpacked/extensions/fast-preview.js +++ b/unpacked/extensions/fast-preview.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2014-2018 The MathJax Consortium + * Copyright (c) 2014-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -33,7 +33,7 @@ var msieColorBug = BROWSER.isMSIE && (document.documentMode||0) < 8; var FastPreview = MathJax.Extension["fast-preview"] = { - version: "2.7.5", + version: "2.7.6", enabled: true, // diff --git a/unpacked/extensions/jsMath2jax.js b/unpacked/extensions/jsMath2jax.js index 8040257386..962b685fe9 100644 --- a/unpacked/extensions/jsMath2jax.js +++ b/unpacked/extensions/jsMath2jax.js @@ -18,7 +18,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -34,7 +34,7 @@ */ MathJax.Extension.jsMath2jax = { - version: "2.7.5", + version: "2.7.6", config: { preview: "TeX" // Set to "none" to prevent preview strings from being inserted diff --git a/unpacked/extensions/mml2jax.js b/unpacked/extensions/mml2jax.js index f50b3d87fd..f06ca53266 100644 --- a/unpacked/extensions/mml2jax.js +++ b/unpacked/extensions/mml2jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ */ MathJax.Extension.mml2jax = { - version: "2.7.5", + version: "2.7.6", config: { preview: "mathml" // Use the element as the // preview. Set to "none" for no preview, diff --git a/unpacked/extensions/tex2jax.js b/unpacked/extensions/tex2jax.js index e3af3f9fb6..19993f65c2 100644 --- a/unpacked/extensions/tex2jax.js +++ b/unpacked/extensions/tex2jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ */ MathJax.Extension.tex2jax = { - version: "2.7.5", + version: "2.7.6", config: { inlineMath: [ // The start/stop pairs for in-line math // ['$','$'], // (comment out any you don't want, or add your own, but diff --git a/unpacked/extensions/toMathML.js b/unpacked/extensions/toMathML.js index acd5b31dee..23e6bc6c8a 100644 --- a/unpacked/extensions/toMathML.js +++ b/unpacked/extensions/toMathML.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SETTINGS = MathJax.Hub.config.menuSettings; diff --git a/unpacked/jax/element/mml/jax.js b/unpacked/jax/element/mml/jax.js index e5f743212d..c1739ea4ef 100644 --- a/unpacked/jax/element/mml/jax.js +++ b/unpacked/jax/element/mml/jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -30,7 +30,7 @@ MathJax.ElementJax.mml = MathJax.ElementJax({ mimeType: "jax/mml" },{ id: "mml", - version: "2.7.5", + version: "2.7.6", directory: MathJax.ElementJax.directory + "/mml", extensionDir: MathJax.ElementJax.extensionDir + "/mml", optableDir: MathJax.ElementJax.directory + "/mml/optable" diff --git a/unpacked/jax/element/mml/optable/Arrows.js b/unpacked/jax/element/mml/optable/Arrows.js index a2e89b9bc7..47da3abc43 100644 --- a/unpacked/jax/element/mml/optable/Arrows.js +++ b/unpacked/jax/element/mml/optable/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/Arrows.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/BasicLatin.js b/unpacked/jax/element/mml/optable/BasicLatin.js index 8b0d2c1079..ec4d8d6f23 100644 --- a/unpacked/jax/element/mml/optable/BasicLatin.js +++ b/unpacked/jax/element/mml/optable/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/BasicLatin.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/CombDiacritMarks.js b/unpacked/jax/element/mml/optable/CombDiacritMarks.js index d4ae292ce8..a0dbb35409 100644 --- a/unpacked/jax/element/mml/optable/CombDiacritMarks.js +++ b/unpacked/jax/element/mml/optable/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/CombDiacritMarks.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/CombDiactForSymbols.js b/unpacked/jax/element/mml/optable/CombDiactForSymbols.js index ad6c8717d8..0ddd06c135 100644 --- a/unpacked/jax/element/mml/optable/CombDiactForSymbols.js +++ b/unpacked/jax/element/mml/optable/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/CombDiactForSymbols.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/Dingbats.js b/unpacked/jax/element/mml/optable/Dingbats.js index d396b8dc68..66d47dd4bc 100644 --- a/unpacked/jax/element/mml/optable/Dingbats.js +++ b/unpacked/jax/element/mml/optable/Dingbats.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/Dingbats.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/GeneralPunctuation.js b/unpacked/jax/element/mml/optable/GeneralPunctuation.js index a762fc51d6..2e2f65953e 100644 --- a/unpacked/jax/element/mml/optable/GeneralPunctuation.js +++ b/unpacked/jax/element/mml/optable/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/GeneralPunctuation.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/GeometricShapes.js b/unpacked/jax/element/mml/optable/GeometricShapes.js index 2eaf90e940..c471f38d07 100644 --- a/unpacked/jax/element/mml/optable/GeometricShapes.js +++ b/unpacked/jax/element/mml/optable/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/GeometricShapes.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/GreekAndCoptic.js b/unpacked/jax/element/mml/optable/GreekAndCoptic.js index a2fe5071e1..0b98de48f0 100644 --- a/unpacked/jax/element/mml/optable/GreekAndCoptic.js +++ b/unpacked/jax/element/mml/optable/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/GreekAndCoptic.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/Latin1Supplement.js b/unpacked/jax/element/mml/optable/Latin1Supplement.js index e165175e90..4501b149db 100644 --- a/unpacked/jax/element/mml/optable/Latin1Supplement.js +++ b/unpacked/jax/element/mml/optable/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/Latin1Supplement.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/LetterlikeSymbols.js b/unpacked/jax/element/mml/optable/LetterlikeSymbols.js index fc10e6c514..5cc9311228 100644 --- a/unpacked/jax/element/mml/optable/LetterlikeSymbols.js +++ b/unpacked/jax/element/mml/optable/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/LetterlikeSymbols.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/MathOperators.js b/unpacked/jax/element/mml/optable/MathOperators.js index 10a96fde71..1464b23932 100644 --- a/unpacked/jax/element/mml/optable/MathOperators.js +++ b/unpacked/jax/element/mml/optable/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/MathOperators.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js b/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js index 3ffbe0b18a..7cb51514c0 100644 --- a/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js +++ b/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/MiscMathSymbolsA.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js b/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js index 31dac9ab3d..85d94e75d5 100644 --- a/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js +++ b/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/MiscMathSymbolsB.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js b/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js index beb7a1d4f9..10d3eb6901 100644 --- a/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js +++ b/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/MiscSymbolsAndArrows.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/MiscTechnical.js b/unpacked/jax/element/mml/optable/MiscTechnical.js index ab1c7e2a57..9c5ce194e6 100644 --- a/unpacked/jax/element/mml/optable/MiscTechnical.js +++ b/unpacked/jax/element/mml/optable/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/MiscTechnical.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/SpacingModLetters.js b/unpacked/jax/element/mml/optable/SpacingModLetters.js index 33d1b5efdf..a0fa0e502a 100644 --- a/unpacked/jax/element/mml/optable/SpacingModLetters.js +++ b/unpacked/jax/element/mml/optable/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/SpacingModLetters.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/SuppMathOperators.js b/unpacked/jax/element/mml/optable/SuppMathOperators.js index d11e3a09e4..4fca6480d1 100644 --- a/unpacked/jax/element/mml/optable/SuppMathOperators.js +++ b/unpacked/jax/element/mml/optable/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/SuppMathOperators.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/SupplementalArrowsA.js b/unpacked/jax/element/mml/optable/SupplementalArrowsA.js index e09e926d7a..0c94c96e7b 100644 --- a/unpacked/jax/element/mml/optable/SupplementalArrowsA.js +++ b/unpacked/jax/element/mml/optable/SupplementalArrowsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/SupplementalArrowsA.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/element/mml/optable/SupplementalArrowsB.js b/unpacked/jax/element/mml/optable/SupplementalArrowsB.js index a60e53a400..20a87c10bd 100644 --- a/unpacked/jax/element/mml/optable/SupplementalArrowsB.js +++ b/unpacked/jax/element/mml/optable/SupplementalArrowsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/optable/SupplementalArrowsB.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/AsciiMath/config.js b/unpacked/jax/input/AsciiMath/config.js index d90e92bedc..782712b465 100644 --- a/unpacked/jax/input/AsciiMath/config.js +++ b/unpacked/jax/input/AsciiMath/config.js @@ -13,7 +13,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2012-2018 The MathJax Consortium + * Copyright (c) 2012-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -30,7 +30,7 @@ MathJax.InputJax.AsciiMath = MathJax.InputJax({ id: "AsciiMath", - version: "2.7.5", + version: "2.7.6", directory: MathJax.InputJax.directory + "/AsciiMath", extensionDir: MathJax.InputJax.extensionDir + "/AsciiMath", diff --git a/unpacked/jax/input/AsciiMath/jax.js b/unpacked/jax/input/AsciiMath/jax.js index 0246cbd705..588fbdedd6 100644 --- a/unpacked/jax/input/AsciiMath/jax.js +++ b/unpacked/jax/input/AsciiMath/jax.js @@ -24,7 +24,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2012-2018 The MathJax Consortium + * Copyright (c) 2012-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/config.js b/unpacked/jax/input/MathML/config.js index 35a951836a..4d9629a9cb 100644 --- a/unpacked/jax/input/MathML/config.js +++ b/unpacked/jax/input/MathML/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.InputJax.MathML = MathJax.InputJax({ id: "MathML", - version: "2.7.5", + version: "2.7.6", directory: MathJax.InputJax.directory + "/MathML", extensionDir: MathJax.InputJax.extensionDir + "/MathML", entityDir: MathJax.InputJax.directory + "/MathML/entities", diff --git a/unpacked/jax/input/MathML/entities/a.js b/unpacked/jax/input/MathML/entities/a.js index f5446454c4..458a03df1e 100644 --- a/unpacked/jax/input/MathML/entities/a.js +++ b/unpacked/jax/input/MathML/entities/a.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/a.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/b.js b/unpacked/jax/input/MathML/entities/b.js index 93cf839050..86447842f8 100644 --- a/unpacked/jax/input/MathML/entities/b.js +++ b/unpacked/jax/input/MathML/entities/b.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/b.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/c.js b/unpacked/jax/input/MathML/entities/c.js index c0dabdbb3f..f85208b551 100644 --- a/unpacked/jax/input/MathML/entities/c.js +++ b/unpacked/jax/input/MathML/entities/c.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/c.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/d.js b/unpacked/jax/input/MathML/entities/d.js index 651c942cf8..54b2ab88d4 100644 --- a/unpacked/jax/input/MathML/entities/d.js +++ b/unpacked/jax/input/MathML/entities/d.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/d.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/e.js b/unpacked/jax/input/MathML/entities/e.js index c3f5f90a52..4e084f9cc9 100644 --- a/unpacked/jax/input/MathML/entities/e.js +++ b/unpacked/jax/input/MathML/entities/e.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/e.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/f.js b/unpacked/jax/input/MathML/entities/f.js index 5a87e8a70c..29139bff7b 100644 --- a/unpacked/jax/input/MathML/entities/f.js +++ b/unpacked/jax/input/MathML/entities/f.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/f.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/fr.js b/unpacked/jax/input/MathML/entities/fr.js index e7d7edaed8..0c94fdcf18 100644 --- a/unpacked/jax/input/MathML/entities/fr.js +++ b/unpacked/jax/input/MathML/entities/fr.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/fr.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/g.js b/unpacked/jax/input/MathML/entities/g.js index 72d0446e57..2cbf4385f7 100644 --- a/unpacked/jax/input/MathML/entities/g.js +++ b/unpacked/jax/input/MathML/entities/g.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/g.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/h.js b/unpacked/jax/input/MathML/entities/h.js index 192c9e0f18..450ad15479 100644 --- a/unpacked/jax/input/MathML/entities/h.js +++ b/unpacked/jax/input/MathML/entities/h.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/h.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/i.js b/unpacked/jax/input/MathML/entities/i.js index 520dc3d786..cd540e29d2 100644 --- a/unpacked/jax/input/MathML/entities/i.js +++ b/unpacked/jax/input/MathML/entities/i.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/i.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/j.js b/unpacked/jax/input/MathML/entities/j.js index 1ccbf44922..b007fca506 100644 --- a/unpacked/jax/input/MathML/entities/j.js +++ b/unpacked/jax/input/MathML/entities/j.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/j.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/k.js b/unpacked/jax/input/MathML/entities/k.js index ac6ec63283..a6a6eb9f5a 100644 --- a/unpacked/jax/input/MathML/entities/k.js +++ b/unpacked/jax/input/MathML/entities/k.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/k.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/l.js b/unpacked/jax/input/MathML/entities/l.js index d51845b4fc..016bd7449b 100644 --- a/unpacked/jax/input/MathML/entities/l.js +++ b/unpacked/jax/input/MathML/entities/l.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/l.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/m.js b/unpacked/jax/input/MathML/entities/m.js index b3ed3b5300..9ab70b8310 100644 --- a/unpacked/jax/input/MathML/entities/m.js +++ b/unpacked/jax/input/MathML/entities/m.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/m.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/n.js b/unpacked/jax/input/MathML/entities/n.js index 1d4614e11a..0878d7a1c7 100644 --- a/unpacked/jax/input/MathML/entities/n.js +++ b/unpacked/jax/input/MathML/entities/n.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/n.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/o.js b/unpacked/jax/input/MathML/entities/o.js index 81b20c6cd3..becf64d419 100644 --- a/unpacked/jax/input/MathML/entities/o.js +++ b/unpacked/jax/input/MathML/entities/o.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/o.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/opf.js b/unpacked/jax/input/MathML/entities/opf.js index 7a40139d89..3d1a3433b6 100644 --- a/unpacked/jax/input/MathML/entities/opf.js +++ b/unpacked/jax/input/MathML/entities/opf.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/opf.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/p.js b/unpacked/jax/input/MathML/entities/p.js index fc11cbd9aa..fa570476ae 100644 --- a/unpacked/jax/input/MathML/entities/p.js +++ b/unpacked/jax/input/MathML/entities/p.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/p.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/q.js b/unpacked/jax/input/MathML/entities/q.js index 6da43e2dfa..67b696a1b9 100644 --- a/unpacked/jax/input/MathML/entities/q.js +++ b/unpacked/jax/input/MathML/entities/q.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/q.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/r.js b/unpacked/jax/input/MathML/entities/r.js index 402eb93796..ba8d0e890f 100644 --- a/unpacked/jax/input/MathML/entities/r.js +++ b/unpacked/jax/input/MathML/entities/r.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/r.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/s.js b/unpacked/jax/input/MathML/entities/s.js index e422e0f606..f399485972 100644 --- a/unpacked/jax/input/MathML/entities/s.js +++ b/unpacked/jax/input/MathML/entities/s.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/s.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/scr.js b/unpacked/jax/input/MathML/entities/scr.js index 7f847a5799..04ce6e2279 100644 --- a/unpacked/jax/input/MathML/entities/scr.js +++ b/unpacked/jax/input/MathML/entities/scr.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/scr.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/t.js b/unpacked/jax/input/MathML/entities/t.js index c1af27c809..98247e7893 100644 --- a/unpacked/jax/input/MathML/entities/t.js +++ b/unpacked/jax/input/MathML/entities/t.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/t.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/u.js b/unpacked/jax/input/MathML/entities/u.js index 340db0a15d..078178d223 100644 --- a/unpacked/jax/input/MathML/entities/u.js +++ b/unpacked/jax/input/MathML/entities/u.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/u.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/v.js b/unpacked/jax/input/MathML/entities/v.js index df23425e81..c6062dc889 100644 --- a/unpacked/jax/input/MathML/entities/v.js +++ b/unpacked/jax/input/MathML/entities/v.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/v.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/w.js b/unpacked/jax/input/MathML/entities/w.js index 8c100cec01..67ea1759ce 100644 --- a/unpacked/jax/input/MathML/entities/w.js +++ b/unpacked/jax/input/MathML/entities/w.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/w.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/x.js b/unpacked/jax/input/MathML/entities/x.js index bdbf7568a4..c88c7d6224 100644 --- a/unpacked/jax/input/MathML/entities/x.js +++ b/unpacked/jax/input/MathML/entities/x.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/x.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/y.js b/unpacked/jax/input/MathML/entities/y.js index 28ea88f167..0c53419380 100644 --- a/unpacked/jax/input/MathML/entities/y.js +++ b/unpacked/jax/input/MathML/entities/y.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/y.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/entities/z.js b/unpacked/jax/input/MathML/entities/z.js index 0211f603f9..291f8b211e 100644 --- a/unpacked/jax/input/MathML/entities/z.js +++ b/unpacked/jax/input/MathML/entities/z.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/entities/z.js * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/MathML/jax.js b/unpacked/jax/input/MathML/jax.js index 509b669d7a..98938b4041 100644 --- a/unpacked/jax/input/MathML/jax.js +++ b/unpacked/jax/input/MathML/jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/input/TeX/config.js b/unpacked/jax/input/TeX/config.js index 3750b3d830..6311c9472e 100644 --- a/unpacked/jax/input/TeX/config.js +++ b/unpacked/jax/input/TeX/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.InputJax.TeX = MathJax.InputJax({ id: "TeX", - version: "2.7.5", + version: "2.7.6", directory: MathJax.InputJax.directory + "/TeX", extensionDir: MathJax.InputJax.extensionDir + "/TeX", diff --git a/unpacked/jax/input/TeX/jax.js b/unpacked/jax/input/TeX/jax.js index 6654b82582..a00d23d488 100644 --- a/unpacked/jax/input/TeX/jax.js +++ b/unpacked/jax/input/TeX/jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js b/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js index 0f87bc080a..fc7c4c0198 100644 --- a/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js +++ b/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CHTML = MathJax.OutputJax.CommonHTML; diff --git a/unpacked/jax/output/CommonHTML/autoload/maction.js b/unpacked/jax/output/CommonHTML/autoload/maction.js index 857293e2a4..83e21506a7 100644 --- a/unpacked/jax/output/CommonHTML/autoload/maction.js +++ b/unpacked/jax/output/CommonHTML/autoload/maction.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CHTML = MathJax.OutputJax.CommonHTML; diff --git a/unpacked/jax/output/CommonHTML/autoload/menclose.js b/unpacked/jax/output/CommonHTML/autoload/menclose.js index b2bbeb4577..eac7704c5e 100644 --- a/unpacked/jax/output/CommonHTML/autoload/menclose.js +++ b/unpacked/jax/output/CommonHTML/autoload/menclose.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CHTML = MathJax.OutputJax.CommonHTML; diff --git a/unpacked/jax/output/CommonHTML/autoload/mglyph.js b/unpacked/jax/output/CommonHTML/autoload/mglyph.js index 2c0419b6a9..6d86cc2a05 100644 --- a/unpacked/jax/output/CommonHTML/autoload/mglyph.js +++ b/unpacked/jax/output/CommonHTML/autoload/mglyph.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CHTML = MathJax.OutputJax.CommonHTML, LOCALE = MathJax.Localization; diff --git a/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js b/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js index 054b31ce86..f361bac289 100644 --- a/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js +++ b/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CHTML = MathJax.OutputJax.CommonHTML; diff --git a/unpacked/jax/output/CommonHTML/autoload/ms.js b/unpacked/jax/output/CommonHTML/autoload/ms.js index 5cd0e67931..faebd0ac34 100644 --- a/unpacked/jax/output/CommonHTML/autoload/ms.js +++ b/unpacked/jax/output/CommonHTML/autoload/ms.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CHTML = MathJax.OutputJax.CommonHTML; diff --git a/unpacked/jax/output/CommonHTML/autoload/mtable.js b/unpacked/jax/output/CommonHTML/autoload/mtable.js index 97a0c35194..82fa0efba0 100644 --- a/unpacked/jax/output/CommonHTML/autoload/mtable.js +++ b/unpacked/jax/output/CommonHTML/autoload/mtable.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CONFIG = MathJax.Hub.config, CHTML = MathJax.OutputJax.CommonHTML, diff --git a/unpacked/jax/output/CommonHTML/autoload/multiline.js b/unpacked/jax/output/CommonHTML/autoload/multiline.js index b199e0f717..3ba4b2ddb4 100644 --- a/unpacked/jax/output/CommonHTML/autoload/multiline.js +++ b/unpacked/jax/output/CommonHTML/autoload/multiline.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, CONFIG = MathJax.Hub.config, CHTML = MathJax.OutputJax.CommonHTML; diff --git a/unpacked/jax/output/CommonHTML/config.js b/unpacked/jax/output/CommonHTML/config.js index a6a27a3125..7dba6f5524 100644 --- a/unpacked/jax/output/CommonHTML/config.js +++ b/unpacked/jax/output/CommonHTML/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.OutputJax.CommonHTML = MathJax.OutputJax({ id: "CommonHTML", - version: "2.7.5", + version: "2.7.6", directory: MathJax.OutputJax.directory + "/CommonHTML", extensionDir: MathJax.OutputJax.extensionDir + "/CommonHTML", autoloadDir: MathJax.OutputJax.directory + "/CommonHTML/autoload", diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js index 3146d4841e..b58f6c48c6 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js index 3e4043cede..413efee3a8 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js index d5177a0ae9..fa85713013 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js index ebf4de1f10..011261284a 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js index 404ac2fcb2..c2f5eefec9 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/Main-Bold.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js index 13cfbc6d64..e06931c238 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js index de133ed575..86f31d6d59 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js index 28c6a6f440..b940e35c41 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js index 0d14a1b3c1..90e8c271ca 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js index d37e372147..029d266b9c 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/Script-Regular.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js index 100287f47f..b68af6ec43 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js index f60b2a9691..7e464a8396 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ (function (CHTML) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = CHTML.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js index c8e25afcb7..db0c208529 100644 --- a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js +++ b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ (function (CHTML,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MAIN = "MathJax_Main", BOLD = "MathJax_Main-Bold", diff --git a/unpacked/jax/output/CommonHTML/jax.js b/unpacked/jax/output/CommonHTML/jax.js index 5d48d26ecf..b9ec63cabc 100644 --- a/unpacked/jax/output/CommonHTML/jax.js +++ b/unpacked/jax/output/CommonHTML/jax.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js b/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js index 97a2df95e4..e8684f2793 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js +++ b/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; diff --git a/unpacked/jax/output/HTML-CSS/autoload/maction.js b/unpacked/jax/output/HTML-CSS/autoload/maction.js index fdd0a3817d..7cb3765d9c 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/maction.js +++ b/unpacked/jax/output/HTML-CSS/autoload/maction.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; diff --git a/unpacked/jax/output/HTML-CSS/autoload/menclose.js b/unpacked/jax/output/HTML-CSS/autoload/menclose.js index 3008682912..d68532c0b6 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/menclose.js +++ b/unpacked/jax/output/HTML-CSS/autoload/menclose.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; diff --git a/unpacked/jax/output/HTML-CSS/autoload/mglyph.js b/unpacked/jax/output/HTML-CSS/autoload/mglyph.js index ea8bcf5fcd..87f4dcaef8 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/mglyph.js +++ b/unpacked/jax/output/HTML-CSS/autoload/mglyph.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"], LOCALE = MathJax.Localization; diff --git a/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js b/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js index 57e36c84b8..6a1d63a687 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js +++ b/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; diff --git a/unpacked/jax/output/HTML-CSS/autoload/ms.js b/unpacked/jax/output/HTML-CSS/autoload/ms.js index 772d35d822..a189695a7a 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/ms.js +++ b/unpacked/jax/output/HTML-CSS/autoload/ms.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; diff --git a/unpacked/jax/output/HTML-CSS/autoload/mtable.js b/unpacked/jax/output/HTML-CSS/autoload/mtable.js index c93312d58e..61b71ca2a3 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/mtable.js +++ b/unpacked/jax/output/HTML-CSS/autoload/mtable.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; diff --git a/unpacked/jax/output/HTML-CSS/autoload/multiline.js b/unpacked/jax/output/HTML-CSS/autoload/multiline.js index 7b11ae435c..d4cab88d19 100644 --- a/unpacked/jax/output/HTML-CSS/autoload/multiline.js +++ b/unpacked/jax/output/HTML-CSS/autoload/multiline.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, HTMLCSS = MathJax.OutputJax["HTML-CSS"]; // diff --git a/unpacked/jax/output/HTML-CSS/config.js b/unpacked/jax/output/HTML-CSS/config.js index 40f9ab894c..a264a954c6 100644 --- a/unpacked/jax/output/HTML-CSS/config.js +++ b/unpacked/jax/output/HTML-CSS/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.OutputJax["HTML-CSS"] = MathJax.OutputJax({ id: "HTML-CSS", - version: "2.7.5", + version: "2.7.6", directory: MathJax.OutputJax.directory + "/HTML-CSS", extensionDir: MathJax.OutputJax.extensionDir + "/HTML-CSS", autoloadDir: MathJax.OutputJax.directory + "/HTML-CSS/autoload", diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js index 8cdd2333aa..b9d3064af1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js index 453a864058..4cb0a65e22 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js index 1a8e3c3e94..cfa808e746 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js index 0e3aedf063..cd85e0bd9b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js index 3397b4c245..ccfde00c0c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js index 774088fa0a..28c30fba5d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js index 76cca2ba4a..3e1a10699c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js index 7354d90925..36089cc140 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js index 449514ab6b..ba873e265b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js index 3b9a2c4a22..e0050d386e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js index 984dcc3ab3..d156b924b9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js index ba153d39d0..496d6756b0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js index e97815a37e..18369a7d3c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js index 334e54a4d1..420a4e0f72 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js index 0f6c4f8211..33999c92a5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js index 9e6f41ead4..8bc06b7cd5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js index 280fe56ba2..e2f3bf44e6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js index 5f36aa638c..74037382a8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js index e87afb6376..33aa751a80 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js index be0332f9db..d295c0ce6b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js index cc001f38f1..f26d486eac 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js index c9de1a1ee7..5f269926c8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js index 01141e59bd..ed4a811e08 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js index 66017164ac..138ec242bb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Asana-Math fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js index 5a4f1db592..31389c71d5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the HTML-CSS OutputJax to use the Asana-Math fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "AsanaMathJax_Alphabets", ARROWS = "AsanaMathJax_Arrows", diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js index 9d62d56e5b..0e6fab6d7f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js index ed90249509..4bfe5211bc 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js index a4094541de..ef8f96182f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js index 020000c0c8..70f6788e9e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js index 549f9ca406..eff6700f01 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js index 85044d2960..7781d3a16a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js index c533c95947..23261a88e8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js index e2b905aba4..e2194f965e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js index 309f12dca7..656f93225a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js index f219a1d608..ccaa79c901 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js index ffdcda5812..a8046ef278 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js index f8883ecd34..31a67cf924 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js index d4577c8a82..4d3bd62f71 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js index 06d0e0093c..6fdd5fd14f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js index 058244ca53..c8244e54c7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js index c4fa2b498e..85727d8cef 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js index 173bf34876..6d5d18f966 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js index 7c419fc949..abb8977f94 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js index 1625b7b0e9..b5bd7fa2cc 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js index c783111ada..707113a7df 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js index dde9ee7f24..ebf2436ff6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js index 8afd2ce387..9bf71eda9a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js index 357ab387fb..3f40f4b1a5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js index e8a3ccb732..80d841f702 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Gyre-Pagella fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js index ed4873f889..0194c76653 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the HTML-CSS OutputJax to use the Gyre-Pagella fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "GyrePagellaMathJax_Alphabets", ARROWS = "GyrePagellaMathJax_Arrows", diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js index ba59edcb6e..af01393801 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js index 5f93e4fcd4..050818f622 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js index 2328750ecc..3dac782884 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js index 33add3edf4..f3c95bd4bf 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js index 10f64774d1..f998cf8e35 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js index c831099272..7a82625dc3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js index fea0b2c1ce..ca39d1ca94 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js index c91078ce92..4f6d0adead 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js index b8e36d2c08..b309216ab7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js index aa8488569d..e479141825 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js index 3ee755215f..03f1995a37 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js index 8cd25a447e..d78391d58e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js index b1f8df3c22..9ef9694bda 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js index d08269329d..aaf37bdfe6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js index 084753a197..8321e18ae9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js index 608d51372f..053ecda8ed 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js index 382b19c74d..f2ea67e6de 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js index 947e7e79eb..d14c7f2fa5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js index 5f623fd0e5..39294bd307 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js index 554bf5d42f..661a336aba 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js index 07a7adb16f..22fedaa7cc 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js index 4883add1d7..1cf1c8c92f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js index 54276f4444..59a12030e4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js index 8c7c40d9c3..cf63d90f94 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Gyre-Termes fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js index 6559467d33..f6a9fe71e0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the HTML-CSS OutputJax to use the Gyre-Termes fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "GyreTermesMathJax_Alphabets", ARROWS = "GyreTermesMathJax_Arrows", diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js index fd00306522..229f029f22 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js index bbd9326a2f..4e484195bc 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js index d9f31798c9..917fc7f1a2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js index 0e744f6b4d..c218f1bf88 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js index b795fa141a..0ae92a217b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js index 0da11dbfc2..77c0877788 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js index 0891623065..097fefd476 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js index 627500e6a0..0c398654af 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js index f2a055aed0..22fec1778a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js index bcd8afd23e..34a1a2d0db 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js index f61ca921c8..0d6cabb00f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js index 4ff67cb248..fee12a4307 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js index 6e3f06d401..9136694f40 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js index eae085a247..b465b604cb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js index 2e692fec58..9d088e313a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js index 6156d480cd..0f1fbab6e9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js index aadd0dae15..4509fb11b3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js index 5bcb280717..92ae7b5053 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js index c64dabe947..9d64d7abd5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js index 81b75c0df7..5e1f8c44e4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js index fe96620574..e6fe76d375 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js index 2e933fd66d..827bf746b7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js index 5ba08621ea..54c0517541 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js index b9cdbcc4d5..3c83a7fcd6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js index ce6738bb5a..b7e1c85ec8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Latin-Modern fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js index dd2f613813..8a17f3d867 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the HTML-CSS OutputJax to use the Latin-Modern fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "LatinModernMathJax_Alphabets", ARROWS = "LatinModernMathJax_Arrows", diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js index b569d3d8b9..fe2b1f2f8b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js index bf4ebfe72f..30fb4e5f94 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js index 9097421f1d..49026dfd8b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js index 5a36968855..43a467d859 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js index 5ba4f0caae..9f46d4feb7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js index 894d46d43c..4d62878220 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js index c5b541b35d..f888077472 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js index 4946cc15e6..09b1037da8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js index 5224d10933..8bd52114a3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js index c3708f2f30..bf45fa58d0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js index 90eb0ed3a0..307e6c7e71 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js index 99bb910514..1dd0e33280 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js index 4cfc22ab16..bf8946235b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js index 46bcb74f5a..a411d80ea5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js index b481e229ec..2701ebb81b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js index 6aaba0e416..ef3fbd0c6f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js index c7ec3cc5ef..f0a8604bc2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js index 6698029f19..94dfd0faa3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Neo-Euler fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js index 52d8e256cf..24610187c6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the HTML-CSS OutputJax to use the Neo-Euler fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "NeoEulerMathJax_Alphabets", ARROWS = "NeoEulerMathJax_Arrows", diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js index c3b097bd99..76409eec07 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js index fd2545576b..893214ede2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js index 5f8357544b..8ded4c5b57 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js index dcc9d6a096..e4224fdffe 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js index 168f639ce9..ee652471e2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js index 7515b58a30..81b165a261 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js index 8be48201ec..071f88ec17 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js index 9b8d9fbec5..f38ecdce83 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js index 9fb85f6572..e2903f83e6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js index ecc0487e09..e5a9cd96f9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js index e75923883d..4080deb463 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js index cf588007a5..f2ac0446c9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js index 3c59150f86..04725b94e4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js index 9305e401d1..c1a5d9eb0e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js index 3361eefb44..14611ebc75 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js index 197b4e261b..dda9527381 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js index 8e3107c324..11c833eb15 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js index c2dd269215..db9b84825f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js index 1287c44089..095d7d2b47 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js index 001cfffac3..d7e176a916 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js index 553b92eb56..4ca2236704 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js index 1af99d2848..7f2bb2ccee 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js index 43aee0bec2..a2272be12e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js index ea192f815d..f7eeee0a66 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js index fe0da1e3c2..7ad4ad81b9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js index 3161611caa..e018f5a241 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js index d78d20bab2..a9ddc68f76 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js index eac8e08a06..3430085609 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js index ff3ea90cdd..e622bef8d3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js index fb941c4885..8fb15d56cd 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js index 9d592b4045..4c301e0063 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js index 9f8084f375..157df58e84 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js index c9a5b7616c..2c1f017451 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js index 52ee1e9c6f..043b14486c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js index 7a734bb7b5..191841aa9f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js index e609662a8d..ee07d183c6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js index 14f2cb0217..b2f14df564 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js index 877ea76108..da697bd529 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js index 5397fc980b..84b34ab329 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js index 30fa8d9e38..96a1c7c3df 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js index dc5baa20f4..0006da2c41 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js index 382aa01cae..d603ca847d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js index b5e1ff54b4..927ba00f25 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js index 2cf09cecfe..f8b54cd145 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js index 2dccb00914..1fff85de0b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js index e21a50c6ca..bfb34abe1c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js index 494a2dff32..9e34b7e9bf 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js index aa4973c681..6fd5a81fb2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js index 1693e1efa6..2b33458642 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js index eb7721c9cc..b8d48a2403 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js index e961c3788c..b7750442df 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js index ee867f492b..d7ecb00565 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js index a96ae57ebd..fe986cfb8b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js index da247ca8b1..b43033c0e1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js index de761d5b7b..56b698ac49 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js index cdd54a0f44..2fb9f128c6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the STIX-Web fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js index be7296333a..f70b34c8fe 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the HTML-CSS OutputJax to use the STIX-Web fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETSBOLDITALIC = "STIXMathJax_Alphabets-bold-italic", ALPHABETSBOLD = "STIXMathJax_Alphabets-bold", diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js index f4493749b8..dbaea0b44f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js index 30389a775d..866039a097 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js index 2260f55492..0e988f4618 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js index 5da32ebfa9..c0b5bf522c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js index 4496015c98..1d3f54c7cd 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js index 5acee7dfa9..1747192f1c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js index ab1172f04b..7325256945 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js index 8e5360400a..b2b6741441 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js index 1b49b75baf..8da3ee4094 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js index ba362c2f07..dbae18a87b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js index d94b3d8bd6..0162a226aa 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js index 0e4180a8de..16e0f30be4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js index ef27ee0765..30a15b1c0f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js index 17928776eb..937627f32f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js index bd1d3f1855..252862bc18 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js index 29ac17f19b..25ca46b64e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js index 4bc4095450..4510caa9d6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js index 04fa8fb7e3..51d7c23e7e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js index 8ac63beb9a..781d7a5827 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js index 7eb4e0518d..a02f59f05b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js index 0806ff0401..637b539973 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js index e2c569e2f2..0a61163298 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js index d60bf1898b..9c9a5e983d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js index 83368e7a11..9af4eeb7da 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js index 0bf09c4605..11c13a6626 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js index f740a4520c..15771f0952 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js index 1d0b921faa..cedd9fe9b9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js index 00d54c1d4f..6c207f4a63 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js index 31b7d31876..6a2b4fdb17 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js index 955dcc9443..45e06d49f7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js index 6330329e43..5c486d2aa1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js index a37342c445..049f0d25f4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js index 294ad3acd3..3157ad9a8e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js index b3b2f17215..4a61e3e38a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js index e75d898da8..a7f13149ee 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js index d9791fbfc8..fc57d13f28 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js index 267221c0bb..9318385185 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js index 334493459e..443336edb9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js index eb102723e7..5e01ec601b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js index 02969073e7..34441a296a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js index bf55dac1d4..e484b6a892 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js index e58b6d9217..c3d345e0dc 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js index e70dc4f389..9fd4c498fe 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js index 696d99b834..2542eab130 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js index 75131df54c..595368e680 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js index b544b726b0..d45ea69f5b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js index 7cc45e74cf..a9a92bb839 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js index df271d1cbc..32d614f428 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js index 6fca7c4655..cae4a5ba23 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js index ec55465558..d23d44b23e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js index 0f0c560b95..3da36e5999 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js index d53c77d626..89f64cb79a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js index a9394773b6..888a37ae74 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js index a7596e10cc..3662b3bb20 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js index 6147269966..996f7f93e5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js index 61004d7351..3eff0d642d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js index 7deabb00af..fab3900348 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js index 4faeab5982..cabf5a4a89 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js index c26d0d7226..84054bfc02 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js index c76b207618..69481cf9ae 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js index bf6f3cb7b6..04a6ed84e8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js index 6b22fb21b0..d70eaaf67c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js index 1bf0fd37d5..1ceb2b9fc6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js index 28b86b8788..283802e948 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js index 44b1ac0cbd..f38a9bc755 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js index e5f4b0f14a..9fb11ad288 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js index 12c1934bdc..144087e3b2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js index db7f0f8bbe..5ddffc8ff7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js index 34f61c2950..e936232e2f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js index b00a1554bb..c822459723 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js index ce0894f85a..b25e954358 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js index a9c7ca7e4c..6d2999eb07 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js index 6fcd498fef..c381140314 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js index fdc04115a4..b2848fa669 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js index 14eb2681c7..5ecc2c408d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js index 99eededb98..2f3126357d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js index dc685a92ee..5d00a69071 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js index 3873250560..8d952bad25 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js index c58cd05f49..06d0ea87c8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js index f2df126db8..c2bfcc6c7d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js index 6835eaa563..6b49c5a40a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js index 232b58698f..e8138b1a99 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js index 3083b7e93b..fd8f996481 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js index 363b4d7fec..ea30951f35 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js index 04b38407e0..fd0e4c9356 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js index cbdd6c342b..7ce37b0c24 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js index 64598e1ed2..bb835e4c15 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js index a3bdf7da72..1225cbf4c5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js index a37d9d54fc..c07d8efe97 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js index 14be1f51ef..1c6c2e91ed 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js index 8fb6492e7a..c00422aed5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js index 115e9da084..addffc46b1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js index 4464c9f164..069ebeadc3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js index 1892cf1f6c..95efa25d6a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js index c00571ebdc..674b67e7a4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js index b0252bf28f..ab27da759e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js index 6ce535c480..6d28316236 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js index 9b65ad5a52..aec07393f0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js index f68fa15587..7db3f0fe5f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js index b75b9b3803..78626c24c9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js index 7767ff68f7..c2186a0648 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js index 706a9b55ce..e74273b0b0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js index 9d15128d89..4029fbe366 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js index 81782b6984..1669c351a8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js index 0d79cc48e0..5035162423 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js index 2f4977e84b..74e1cb5bc0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js index a74bf81713..f41296dfbf 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js index 2f789873c0..d4bcb9f8cc 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js index f426715d3c..e7ba160e97 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js index 90dd23dccc..ba920fd9dd 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js index c086a8f1b9..ece2fee3fb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js index b98faf732e..8e16ee73fa 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js index 848bf9360e..b4288cf270 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js index 9506e0ced9..b3858079ed 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js index c5b9bc5bca..b400442152 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js index 2dad99b20b..61d55c0f39 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js index a173f37c47..53ebef0ee2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js index fe8f7cc835..59b6d55f48 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js index 376a19cbb2..39d4ac21a6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js index b6ea7873f0..cec4b8be70 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js index cd29cdb728..2972f2d95f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js index b238f1ded1..76a15792ad 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js index 8c89f64469..287c8543ad 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js index 319d066bb1..f20a870836 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js index a6d256bb03..5fe782d532 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js index c4a7247afe..8d23595fad 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js index cba8bb9604..c8cd25d613 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js index 1040834ab5..9fae61ab14 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js index 62d1725231..8a9edd6d5c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js index c44e32c3d4..c7860c15e1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js index 9b4a89cd25..71288d420f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js index a9a648801d..3055101509 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js index ddae725cad..f1103cbde6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js index 7764bc3a1f..3f86a5616f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js index ad52b9f7e6..1900371492 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js index 1efe665e87..bc4496dcc9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js index cf25cc6be2..ad9b894beb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js index fbcf5b0fe4..6d8f2282c0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js index 289ade7bc2..9b24e3fd08 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js index 4a19209015..8ff0f7bd77 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js index 4a398d8038..2a31676ead 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js index a9caa32b42..be32829522 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js index e53df89f51..3290cbfcb0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js index 51e84ea59a..a37489cf24 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js index cefbda4311..ee71714c64 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js index 9210ecbae6..4510bb3de4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js index 5e5b20b7cd..df2d2276b2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js index a9d5b45cc5..f228a8d5bd 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js index 48785b7a5c..b524875ef3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js index 035174d187..87d80b8f99 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js index eb0f638559..bf99d5761f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js index 5c25d61a41..307869a1d9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js index 8d4f401e21..6de2ab9af0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js index e51abc8127..fdd39ee3a9 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js index 5a333bf358..7be50c9fab 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js index 5f8ec6789f..bcba44f57d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js index b7a89867d0..f550bcc42f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js index 3744578d20..383bc2a4c4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js index 1ef4bab533..e7feedbc54 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js index 366aa60dad..f22083033a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js index 642604c710..0e2c446525 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js index 554a8f13a3..52d405d6b8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js index d4f4e63d32..4fd7c99d61 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js index 766e1c2528..56fcafd059 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js index 2d4458b3b7..9fb4250aad 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js index cb7c1fe942..1ef3bcdbc4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js index d60abd7965..dded3217ba 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js index e63cba2079..66e27a70ce 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js index b6ea22ed05..20c68171af 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js index 0f552d5549..9208a89cb5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js index 813fbebd3d..3910e92a7d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js index a3623feb1b..10e3933032 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js index be08c79aef..ab1ced1681 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js index f9ac81738b..55d62d4edb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js index 6bfe469b36..5c1523cba4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js index 46dc903354..e05c88b2ee 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js index 30d21f8d57..eb4845bf13 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js index 56347cfa33..a9762fbda1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js index 96f0acbb0e..58702f19c4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js index e9e88ec416..9f7dc00f9d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js index 5d3243b5bf..7901ce40f5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js index 1dbfd36f3b..454fe270bb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js index 6a8761c8b2..cfc6c120a6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js index e1327c0482..1ba05c863b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js index 1998af08dc..402eb3b8a5 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js index d81227983e..c92d0d6a22 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js index a6f6b04ef7..0679554676 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2012-2018 The MathJax Consortium + * Copyright (c) 2012-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js index ed98c5e0da..fca05c09e7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js index 7e6c82d2c6..9f5b8a8007 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js index 622fb1b740..b840d523ea 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ (function (HTMLCSS,MML,HTML) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; HTMLCSS.allowWebFonts = false; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js index c53f0bedd8..3715c89b67 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js index 55d78951ca..402884e827 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js index 6560044b33..c755ce4923 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js index ca51349771..106129ba7c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js index 4b261d3e0d..0edf3ddaa8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js index bd5023b9d1..6ab1f4c163 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js index da0d8b5dec..3b2fe53361 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js index b045556523..5d689d27f2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js index 6fddf20146..6a65f41922 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js index 29df26e42a..4b0fc8eb92 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js index 37eda13197..8bb9f27820 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js index 917f73bd29..e20425f36d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js index e24b0a49a2..57f2ea4c7a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js index 90596160f4..c68c7d03ee 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js index c9b42bb148..0c4618035d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js index c6620fe6f2..a3700cd3fb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js index 33830daaf5..b2ee4f4344 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js index a7b0f83dd9..3a4559fadf 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js index 26df5576af..965b8fa54f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js index 07daace0cd..b95d9ceef7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js index 8a093c0a60..1be74b96e1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js index c1ec79a7e9..b3216ec639 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js index 4838700687..66ffca1910 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js index 32cb0f75c1..6c2d903401 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js index f6ac83fcb5..525e112634 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js index 230e900c08..75d4af2f69 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js index 3897e686f3..034b420664 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js index e70595770b..6b7901ff2a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js index 4c4208eb48..97186542f6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js index db6c38a4c1..5e266d178f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js index 7f4aad9a1f..eac59f08e1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js index 340641b9b3..c3db319474 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js index 36e3879b90..82eeaf64d2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js index 4bf28febf4..daddbd4e18 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js index 23f5c36035..11c49344cd 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js index a5641e782a..0578000c5c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js index 450e13a053..22bd55694c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js index c03fee5656..b2264884e2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js index e5fab39adf..b9ef72d14f 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js index c7fdadd57c..f5eee2dcfe 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js index 1d77eb785f..4bc721b155 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js index 47f6e3f08b..160e559d11 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js index 7c2e6626a3..3b514cb4c3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js index 4cb6e6f0a1..da4a52f469 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js index 319eb8f5f4..2cf7b5b9b0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js index 5081f6f545..b904c4b029 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js index d06b36c363..73758746da 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js index 860f88a7de..05f1631e60 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js index 198e66b247..8e00ade43d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js index 9e416a1f36..fce74f26d7 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js index 91bdf1c0a6..6e5fe5e3c3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js index f8180c1622..e1bf08e049 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js index 51590560e9..110acf991e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js index 67e27ac747..e26b379ff0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js index c01f93823b..aaa19c4cdb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js index 20629c7dd3..ecb28bba52 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js index 352095e6b0..c63c7839b6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js index 3cedf0dc2f..379a6ef3e0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js index 3ef3ca83eb..bb68d1a072 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js index 0af58f7a14..6e309b049a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js index a9f1bec30e..94fbbf6c7b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js index b64567c8b8..ea62adb655 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js index 1d1a60cb07..6e8459a9bd 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js index 43256871df..0b88cc07b3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js index 245b51cf9d..7547767fef 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js index 05df5fc2e7..c1bd67c766 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js index d359b75673..98348632e1 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js index 4c994f3322..20d2cdb5cf 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js index 29c0810e0e..0a24e6ed39 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js index 83b928eb09..b971758bfb 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js index 8f9397b49f..6cb020a0f6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js index 0cca2a2efc..0d12d4a792 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js index f3334f81d9..e272826481 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js index 58f49fd78a..9cf1012b58 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js index 6f4fa3a683..20032c2e5a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js index f5570c844f..1018a11bf2 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js index 55197663cd..66813a56b6 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js index ec62c077e7..75ec4c0e15 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js index e2316e9f6b..14eed5e119 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js index 7bab31d36a..15bedf616c 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js index 9bdc09a4c4..ee1a6dd8e0 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js index b6ef7e6a93..74107b70e3 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js index db306af815..7aa00cff10 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js index 29f9716553..4ff7a8672a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js index 8111740398..31873e4684 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js index d5f5e8cb5e..9a9835a4d8 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js index e93a094bc7..cfb8d06cc4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js index a69c4965dd..ab21492e1b 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js index 26f7fc5206..75d1fddf4d 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js index c1d336f66d..75481c2ad4 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js index 25f403c929..0691378a0a 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ (function (HTMLCSS) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js index 98835f9c4f..436e804e1e 100644 --- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js +++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ (function (HTMLCSS,MML,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MAIN = "MathJax_Main", BOLD = "MathJax_Main-bold", diff --git a/unpacked/jax/output/HTML-CSS/imageFonts.js b/unpacked/jax/output/HTML-CSS/imageFonts.js index 999e167c83..402989d49b 100644 --- a/unpacked/jax/output/HTML-CSS/imageFonts.js +++ b/unpacked/jax/output/HTML-CSS/imageFonts.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ (function (HUB,HTMLCSS,AJAX) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; HUB.Register.LoadHook(HTMLCSS.fontDir + "/fontdata.js",function () { diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js index 0d9396b4c9..66adbb5aec 100644 --- a/unpacked/jax/output/HTML-CSS/jax.js +++ b/unpacked/jax/output/HTML-CSS/jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/NativeMML/config.js b/unpacked/jax/output/NativeMML/config.js index a90c86b0a7..086df0cd5d 100644 --- a/unpacked/jax/output/NativeMML/config.js +++ b/unpacked/jax/output/NativeMML/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.OutputJax.NativeMML = MathJax.OutputJax({ id: "NativeMML", - version: "2.7.5", + version: "2.7.6", directory: MathJax.OutputJax.directory + "/NativeMML", extensionDir: MathJax.OutputJax.extensionDir + "/NativeMML", diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js index d2beaeca4f..76890db2c9 100644 --- a/unpacked/jax/output/NativeMML/jax.js +++ b/unpacked/jax/output/NativeMML/jax.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2010-2018 The MathJax Consortium + * Copyright (c) 2010-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/PlainSource/config.js b/unpacked/jax/output/PlainSource/config.js index 8984330467..bd6bfbc2fd 100644 --- a/unpacked/jax/output/PlainSource/config.js +++ b/unpacked/jax/output/PlainSource/config.js @@ -7,7 +7,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -24,7 +24,7 @@ MathJax.OutputJax.PlainSource = MathJax.OutputJax({ id: "PlainSource", - version: "2.7.5", + version: "2.7.6", directory: MathJax.OutputJax.directory + "/PlainSource", extensionDir: MathJax.OutputJax.extensionDir + "/PlainSource", diff --git a/unpacked/jax/output/PlainSource/jax.js b/unpacked/jax/output/PlainSource/jax.js index 5875036d3f..3c50a1270e 100644 --- a/unpacked/jax/output/PlainSource/jax.js +++ b/unpacked/jax/output/PlainSource/jax.js @@ -7,7 +7,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2015-2018 The MathJax Consortium + * Copyright (c) 2015-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/PreviewHTML/config.js b/unpacked/jax/output/PreviewHTML/config.js index 508d2c5ffb..c0cde764bc 100644 --- a/unpacked/jax/output/PreviewHTML/config.js +++ b/unpacked/jax/output/PreviewHTML/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.OutputJax.PreviewHTML = MathJax.OutputJax({ id: "PreviewHTML", - version: "2.7.5", + version: "2.7.6", directory: MathJax.OutputJax.directory + "/PreviewHTML", extensionDir: MathJax.OutputJax.extensionDir + "/PreviewHTML", noFastPreview: true, // don't do fast preview for this output jax diff --git a/unpacked/jax/output/PreviewHTML/jax.js b/unpacked/jax/output/PreviewHTML/jax.js index 36750b5cd5..c5f5482a42 100644 --- a/unpacked/jax/output/PreviewHTML/jax.js +++ b/unpacked/jax/output/PreviewHTML/jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/autoload/annotation-xml.js b/unpacked/jax/output/SVG/autoload/annotation-xml.js index 587458988c..100b30c7f3 100644 --- a/unpacked/jax/output/SVG/autoload/annotation-xml.js +++ b/unpacked/jax/output/SVG/autoload/annotation-xml.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG; var BBOX = SVG.BBOX; diff --git a/unpacked/jax/output/SVG/autoload/maction.js b/unpacked/jax/output/SVG/autoload/maction.js index bf49caf8e1..d7c13a06b0 100644 --- a/unpacked/jax/output/SVG/autoload/maction.js +++ b/unpacked/jax/output/SVG/autoload/maction.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax["SVG"]; diff --git a/unpacked/jax/output/SVG/autoload/menclose.js b/unpacked/jax/output/SVG/autoload/menclose.js index ac0f2f984f..97d015c09d 100644 --- a/unpacked/jax/output/SVG/autoload/menclose.js +++ b/unpacked/jax/output/SVG/autoload/menclose.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX; diff --git a/unpacked/jax/output/SVG/autoload/mglyph.js b/unpacked/jax/output/SVG/autoload/mglyph.js index af816d74f3..14295868c3 100644 --- a/unpacked/jax/output/SVG/autoload/mglyph.js +++ b/unpacked/jax/output/SVG/autoload/mglyph.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX, diff --git a/unpacked/jax/output/SVG/autoload/mmultiscripts.js b/unpacked/jax/output/SVG/autoload/mmultiscripts.js index 94de90fa95..ccfaa7bc57 100644 --- a/unpacked/jax/output/SVG/autoload/mmultiscripts.js +++ b/unpacked/jax/output/SVG/autoload/mmultiscripts.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG; diff --git a/unpacked/jax/output/SVG/autoload/ms.js b/unpacked/jax/output/SVG/autoload/ms.js index a14407cdbb..2f6b09aafb 100644 --- a/unpacked/jax/output/SVG/autoload/ms.js +++ b/unpacked/jax/output/SVG/autoload/ms.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG; diff --git a/unpacked/jax/output/SVG/autoload/mtable.js b/unpacked/jax/output/SVG/autoload/mtable.js index d1b3b3a794..4f2e0834d5 100644 --- a/unpacked/jax/output/SVG/autoload/mtable.js +++ b/unpacked/jax/output/SVG/autoload/mtable.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX; diff --git a/unpacked/jax/output/SVG/autoload/multiline.js b/unpacked/jax/output/SVG/autoload/multiline.js index c004030099..50035c9d96 100644 --- a/unpacked/jax/output/SVG/autoload/multiline.js +++ b/unpacked/jax/output/SVG/autoload/multiline.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MML = MathJax.ElementJax.mml, SVG = MathJax.OutputJax.SVG, BBOX = SVG.BBOX; diff --git a/unpacked/jax/output/SVG/config.js b/unpacked/jax/output/SVG/config.js index db49139f9e..c025daf89b 100644 --- a/unpacked/jax/output/SVG/config.js +++ b/unpacked/jax/output/SVG/config.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -27,7 +27,7 @@ MathJax.OutputJax.SVG = MathJax.OutputJax({ id: "SVG", - version: "2.7.5", + version: "2.7.6", directory: MathJax.OutputJax.directory + "/SVG", extensionDir: MathJax.OutputJax.extensionDir + "/SVG", autoloadDir: MathJax.OutputJax.directory + "/SVG/autoload", diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js index 8838b41700..e4ead67c32 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js index 1881b31931..7ec45f8b71 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js index 7e4b0cc202..6d0c5aa6ed 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js index 0afcae9504..ddc8125690 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js index 347658510a..2197af1cd9 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js index c40fe58a26..c9571219c0 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js index 9873b8e958..6cbf9968a4 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js index 3ebe64bd10..db91763aba 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js index e11df4cf91..ed64e31224 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js index 210679a3b3..409e639b7d 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js index 7795e8bedd..ff7270971e 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js index 1c9c5c5881..19e9a19def 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js index 455feb81da..5538439786 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js index 100b500780..ef939f02d8 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js index ce98f514b2..bf474a67a7 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js index e2e3abb77e..a10248e6d0 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js index 29e1564932..978f834b5d 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js index 849ddb4584..a232d79601 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js index 6e78b24b62..9675077e0a 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js index 7e9112fd71..149fa7018f 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js index 349b6ae928..a8c51acaef 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js index e36ae83ed6..2c3a957735 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js index 4c1217bbfc..d18f30085c 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js index 6a67053562..b913e7f4dd 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Asana-Math fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js index 7906237594..e5ff7d8436 100644 --- a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the SVG OutputJax to use the Asana-Math fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "AsanaMathJax_Alphabets", ARROWS = "AsanaMathJax_Arrows", diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js index a270f73840..ef11179970 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js index c2063c99d4..2fd73a7bf8 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js index cfe14c95f9..7c5a3f6e0c 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js index 07b7c76c2a..d95c483428 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js index cfb23e453d..767e487793 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js index f01d838c34..f8a9791e13 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js index f58be4fe63..7658c0afe7 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js index 73c15d8f18..60c313e668 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js index 17b1c61eb7..825fa2fdec 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js index a08442488c..5b8fcc1d08 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js index 3881e52088..38f01744a7 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js index 51b48722e8..01a4f6c24a 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js index 40e9d6b670..aa900d321e 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js index a424f19d28..0d4119d9a6 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js index 588543ae1c..a78a79c72a 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js index 5872ef667c..00eddb91ec 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js index 21529a6233..02adbe0968 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js index 5560a23af2..e1e849c248 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js index 1ca41819dc..9a27c29352 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js index 2a21f9856b..51c675474e 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js index e7ea44b975..a43d9d6828 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js index 87409f5187..a2f248c336 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js index 5e81c258ae..c31d73aa33 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js index e428ef07e1..0d21528b67 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Gyre-Pagella fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js index 2d75187436..35818eba7e 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the SVG OutputJax to use the Gyre-Pagella fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "GyrePagellaMathJax_Alphabets", ARROWS = "GyrePagellaMathJax_Arrows", diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js index 8d9df81b4b..fa2796140a 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js index e659a019af..245fcf8fd8 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js index 0531b1c7ba..29ec605c61 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js index 9fc5ff4b46..0b2ca76d42 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js index b27daf3b62..67548f1bc6 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js index f61e7e0ced..9989782011 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js index ddd1f4822a..02a0792d7d 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js index 53b5cc9eec..883d7b8e19 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js index d7e3901af8..c6ac026183 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js index 9f20548acc..ed2c7d80a0 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js index 02b1e72ce2..8e407394ce 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js index fe3d5ddb3c..e531777488 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js index 29d41deec8..108a8a2080 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js index f6b8aa4265..4a97fd912c 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js index 7b065c812a..95cb247bad 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js index 7ca9e26932..047148b4bd 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js index fa4996cc69..ee1cfd0171 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js index 8ae3aa924a..d28f41c072 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js index 7dc6fd4934..c7e9634823 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js index 91611a86de..309c5b36b6 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js index 6e917e7c9a..a4b23494d0 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js index 5da1f44b9a..36a9837d35 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js index 4dec1c41a1..7d0eaa86ba 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js index c9ce4601d3..1cd1049f88 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Gyre-Termes fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js index 4e5b68f1a9..e2f4e33f34 100644 --- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the SVG OutputJax to use the Gyre-Termes fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "GyreTermesMathJax_Alphabets", ARROWS = "GyreTermesMathJax_Arrows", diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js index fef6380757..e982186085 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js index 7f637b0e8a..0bb386e8d4 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js index 9f352ba9d0..7c8059611a 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js index 1d906d1c67..88060e2b02 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js index d347e77c46..43c6395123 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js index 154242f03f..8a82b0fdf7 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js index 922d5dcf30..8db95219b3 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js index 0047f34b3f..ec6def13d3 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js index 6113cdb8cd..3780ca1a3d 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js index ebfdb53b3f..5850f1982b 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js index 08407ddd32..b1779bfab1 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js index 630ade628d..cab73dca62 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js index 60c7d91475..7ccfbc054d 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js index 29348a128a..a1e4fdb350 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js index 9045589035..421ee8e088 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js index e4df1b7422..8668cb6915 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js index aa3b324f01..31420c2a39 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js index 725b21df5f..cde263d8aa 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js index 431f0be8bb..e7e2dec562 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js index e137e2c488..e4117801e4 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js index ce0f22568f..2b30a36a83 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js index e5062aa1a7..d84c28a4d5 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js index 0ad71aaf79..74d3957321 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js index 70a0ccd95f..a4aeaec3d3 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js index 805bd97e25..6cb3b19457 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Latin-Modern fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js index 7c6b5b2871..ef4fb67c44 100644 --- a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the SVG OutputJax to use the Latin-Modern fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "LatinModernMathJax_Alphabets", ARROWS = "LatinModernMathJax_Arrows", diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js index 6c4d8d299a..5470ea1af0 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js index f04a23d061..4601399a5f 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js index c3fc864f72..606432259c 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js index 7b3856d4bc..70b233e784 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js index 4b464cfd47..ed0f5740ed 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js index 9a38fd98ee..11b00cf6e5 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js index dd8ef3ec89..0d307d8c83 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js index fc9548568a..f9c056ded4 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js index 2fd01ad53e..4593758bfc 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js index bf1e1cb1ba..8a584394ab 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js index 44a4d492b7..dad0d9d7ef 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js index e911d6bc40..e65c53367e 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js index ed31431587..ee87c94c52 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js index 9468486204..373b85a7e6 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js index 490e9ab2b2..5da2860bbd 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js index f34df8a8b4..035a9d1efe 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js index 1daa8f654f..b697cf693e 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js index 93aad5a0b2..f01ce91553 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the Neo-Euler fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js index ef651d6f2d..49b815f804 100644 --- a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the SVG OutputJax to use the Neo-Euler fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETS = "NeoEulerMathJax_Alphabets", ARROWS = "NeoEulerMathJax_Arrows", diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js index ac57aa7e0f..9fa00a5ae1 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js index 3129285610..009bb57916 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js index 2ec46299f4..4bd96e6188 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js index eb06ac494c..3c978ad454 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js index 340a2e1c98..46bb55893f 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js index 439917fb48..4970bce61b 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js index f592149dae..49f5f9e1b0 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js index f24740c157..079fa16bb8 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js index 60d62e4e63..9452f35741 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js index 718ae18622..9824560c95 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js index 3ac6532def..3a3b768a9d 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js index 453037e429..c826b60212 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js index 8cb5ab05e5..3cb3f28f40 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js index a6d8a77849..807669bb91 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js index cdd9cd9e5d..f7d25d3396 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js index c319965fa7..9f0c71a723 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js index 41409418a2..dabb77385a 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js index 6de91c0526..671fb99653 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js index 6b54fff393..c63a0db384 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js index 1c78232dc0..0a98460de8 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js index d47eb9a447..8b76dd0025 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js index 87a62e7ac7..e950b900da 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js index aa3a281c28..0febd7a0ee 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js index c059920156..3bac5012c7 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js index 9c47841985..eae0f81f77 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js index 516ae63da7..46e91fa98a 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js index 58ebf392d1..ac053c1514 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js index 5b6c468dec..c1a2203077 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js index 1ddf39a62d..32fe17660e 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js index 94fbe26c6c..e54a138ca0 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js index 0bacd62fdc..ca0fd8635c 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js index 72b078dfb2..db6257cd75 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js index 9cca309675..ce4f6541f1 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js index e75ef668b9..0d7f4a6375 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js index 0070b4de4c..db67b2395c 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js index 1b20db3f21..c402d0ddc6 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js index d29c1c1b80..7ce6ee94f0 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js index 2640e3c97b..6dee710e14 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js index 31393ff701..2416d13c56 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js index 24ca69d7df..9841c8d64a 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js index c490c7b922..115fb680e9 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js index f2c8904628..e5c697915a 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js index de48fae591..ad06d25ba5 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js index 9d9729bdb3..27b9ec11d2 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js index 20a94d1cee..e6d1bf6a86 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js index 590963ed06..0ce841e714 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js index 049fcba4cb..e785b7aa9e 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js index 81e7b39d71..ce5f9006a3 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js index 7a428b1cc6..34318d9140 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js index 9c78e628c6..3856c956a1 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js index 611cac6fb8..adf01b05c1 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js index 759b11ba57..9714993c22 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js index 3e851a52fe..97ddf0dab5 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js index f3fa441153..9e926cc3a3 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js index d5635de04a..c92c9ef1be 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js * - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js index f715e469e5..afb8fcf0ff 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js @@ -4,7 +4,7 @@ * * Adds extra stretchy characters to the STIX-Web fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,7 +20,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js index 3a270d5d2d..6ee0c9b2b6 100644 --- a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js @@ -4,7 +4,7 @@ * * Initializes the SVG OutputJax to use the STIX-Web fonts - * Copyright (c) 2013-2018 The MathJax Consortium + * Copyright (c) 2013-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -21,7 +21,7 @@ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var ALPHABETSBOLDITALIC = "STIXMathJax_Alphabets-bold-italic", ALPHABETSBOLD = "STIXMathJax_Alphabets-bold", diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js index 79d3497a36..6e4d8b82bc 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Arrows.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js index e82439793b..5f451d3254 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/BoxDrawing.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js index 7da4001536..e1bb78c0cd 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js index c535ae80d0..3959c07561 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Dingbats.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js index c1d4ef11ff..c3d0d3695d 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/EnclosedAlphanum.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js index a70afb7b7e..6d716886fc 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/GeneralPunctuation.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js index 0774cef49d..133d31b88d 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/GeometricShapes.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js index 9fb01f2795..2ade363c58 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/GreekAndCoptic.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js index 3c379b89bd..378c056456 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Latin1Supplement.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js index f2f39e911e..cdd85a0ea1 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/LatinExtendedA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js index 3a58a35f99..012c3afb6d 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/LetterlikeSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js index 836ff282e9..6dc6e3dd03 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js index 53f4890b80..bc16bd2239 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MathOperators.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js index 84e285797b..2422b7cbdc 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MiscMathSymbolsB.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js index f866c55c68..fff718d2fb 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MiscSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js index 9a477e5fca..c7a122c2a6 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MiscTechnical.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js index 76db5bbdb1..fa429231c7 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/PUA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js index 377e489b17..f1aaddd8fa 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/SpacingModLetters.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js index f00135fc44..4aa7a09dda 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js +++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/SuppMathOperators.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js index 6b0c89c442..b396ab3b69 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Caligraphic/Bold/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js index b303fca436..1248ec78a6 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Caligraphic/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js index 1acdb717ca..0a2058f357 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js index 9fbcf234f5..741d620abf 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js index e05afc3e4c..5eede41218 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/Other.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js index 08d395ff7e..2b6cfad715 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/PUA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js index ad246da8d1..8ed7a244f4 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js index e1338ef51c..7c7148f065 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js index 6e7738425a..03a514a1d4 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/Other.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js index e39184ea39..930cefdb31 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/PUA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js index 8643a452da..ec4d963075 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/Arrows.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js index 60957cde34..5723f8faea 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js index 580ae187b8..9f248733d7 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js index 57b60dbd47..4ec511d9c5 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/CombDiactForSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js index bb62d6a3c6..45a4871c83 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/GeneralPunctuation.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js index 4d32d92f43..f28764735f 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/GeometricShapes.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js index 914eea9fbb..df850ab557 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/GreekAndCoptic.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js index c36b40eed4..53c775169f 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/Latin1Supplement.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js index 13b8d00693..75ad48fca2 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/LatinExtendedA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js index f6ec6bea58..cff181ae9e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/LatinExtendedB.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js index b34e13826c..bc06a7e71d 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/LetterlikeSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js index 9a74211d45..bc80b8dcb4 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js index 08c6a6e30e..a10defd013 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MathOperators.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js index 0af6626ecb..e289d996be 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MiscMathSymbolsA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js index f47a434fcc..f9e118ff8e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MiscSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js index 1ccb0006a7..8322499986 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MiscTechnical.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js index 7099b2847c..48fe268e15 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/SpacingModLetters.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js index e1d70e3c10..b68a976524 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/SuppMathOperators.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js index fc91f22288..108ea22e29 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/SupplementalArrowsA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js index 6552bc4b2e..0f5c6fef0a 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js index 170a8e7214..7bcb749456 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js index 936bd41133..8307fa6231 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/GeneralPunctuation.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js index 10826c5ed2..c6e6b22412 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/GreekAndCoptic.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js index 218d57fd65..9ed229105b 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/LatinExtendedA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js index f9e0b34aca..b5b0343f89 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/LatinExtendedB.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js index 83167adfd8..ca4f1d400e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/LetterlikeSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js index 8d7d43ae5c..c3aab921e5 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js index 104792518d..ce0eb8ae7c 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js index a3aa2df2bc..4b72629946 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js index 3eccba2bce..af9547bdbc 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/GeometricShapes.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js index 605971953c..775f925300 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/GreekAndCoptic.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js index 813897cf3e..53f581fe5f 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/LatinExtendedA.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js index 7347482c0e..3006316b2e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/LatinExtendedB.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js index 4314983d71..4d7521846d 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/LetterlikeSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js index b3fc7a654e..cdf829a293 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js index 8e2731ea4f..440a0b824a 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/MiscSymbols.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js index 7d6088dfcf..c3c83e5d23 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/SpacingModLetters.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js index e2a4b82a29..e1c14293f2 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/SuppMathOperators.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js index beecee8740..c0539e872a 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Math/BoldItalic/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js index 6b2c35702f..e44ff7ed6e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Math/Italic/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js index c809a64398..bbb42407be 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js index eb3795cb22..ea5811f952 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js index 2d4d8ab826..f88adff92e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js index a635fc7cb5..7cfecdf727 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/Other.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js index aa98cefc1a..ea43e72e87 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js index 01cea2bdae..168c9ce9be 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js index 775d01a9b6..e20efae597 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js index 61ae0c3e55..3e573753e1 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/Other.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js index 64233f32cc..0141359c70 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js index 371b6b4800..59b1a21627 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js index 92521b0a91..5128fd1d93 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js index 4076c3432b..09011608fc 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js +++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/Other.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js index 3d08202fd4..7b6648e5c3 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Script/Regular/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js index 068c2d1e3f..d51ef26a56 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Script/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js index d8be6b2a79..fe6096f03a 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Size1/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js index 7231c53e25..aa634d4bee 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Size2/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js index 1df91b6ac8..407ad8ab05 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Size3/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js index 0ac01c0b91..936b7373e7 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Size4/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js index 35345abf11..013704c588 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/BasicLatin.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js index b7a01916d2..e5600f47cc 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/CombDiacritMarks.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js index adff7e740d..0a828eeb9e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/Main.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js index 3be25ad6ae..8a3169f61e 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js +++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js @@ -2,7 +2,7 @@ * * MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/Other.js * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js index 10629f4670..1db7bf1517 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js +++ b/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js @@ -9,7 +9,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -25,7 +25,7 @@ */ (function (SVG) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var DELIMITERS = SVG.FONTDATA.DELIMITERS; diff --git a/unpacked/jax/output/SVG/fonts/TeX/fontdata.js b/unpacked/jax/output/SVG/fonts/TeX/fontdata.js index fa5e1548e2..27ac5f3803 100644 --- a/unpacked/jax/output/SVG/fonts/TeX/fontdata.js +++ b/unpacked/jax/output/SVG/fonts/TeX/fontdata.js @@ -10,7 +10,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -26,7 +26,7 @@ */ (function (SVG,MML,AJAX,HUB) { - var VERSION = "2.7.5"; + var VERSION = "2.7.6"; var MAIN = "MathJax_Main", BOLD = "MathJax_Main-bold", diff --git a/unpacked/jax/output/SVG/jax.js b/unpacked/jax/output/SVG/jax.js index 5f5af6d013..6b14c4886d 100644 --- a/unpacked/jax/output/SVG/jax.js +++ b/unpacked/jax/output/SVG/jax.js @@ -11,7 +11,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2011-2018 The MathJax Consortium + * Copyright (c) 2011-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/unpacked/localization/ar/FontWarnings.js b/unpacked/localization/ar/FontWarnings.js index 199b8799bc..683bf80e11 100644 --- a/unpacked/localization/ar/FontWarnings.js +++ b/unpacked/localization/ar/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ar","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "\u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A \u0644\u0639\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629\u060C \u0647\u0630\u0647 \u062A\u0633\u062A\u063A\u0631\u0642 \u0648\u0642\u062A\u0627 \u0637\u0648\u064A\u0644\u0627 \u0644\u062A\u062D\u0645\u064A\u0644\u060C \u0648\u0628\u0627\u0644\u062A\u0627\u0644\u064A \u0641\u0625\u0646 \u0627\u0644\u0635\u0641\u062D\u0629 \u062A\u0638\u0647\u0631 \u0628\u0634\u0643\u0644 \u0623\u0633\u0631\u0639 \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u062A\u062B\u0628\u064A\u062A \u062E\u0637\u0648\u0637 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064A \u0645\u062C\u0644\u062F \u0627\u0644\u062E\u0637 \u0641\u064A \u0646\u0638\u0627\u0645\u0643.", diff --git a/unpacked/localization/ar/HTML-CSS.js b/unpacked/localization/ar/HTML-CSS.js index 9103d0da99..5bfc93b735 100644 --- a/unpacked/localization/ar/HTML-CSS.js +++ b/unpacked/localization/ar/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ar","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u062A\u062D\u0645\u064A\u0644 \u062E\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A %1", diff --git a/unpacked/localization/ar/HelpDialog.js b/unpacked/localization/ar/HelpDialog.js index efcb0f1d5d..c899bb0497 100644 --- a/unpacked/localization/ar/HelpDialog.js +++ b/unpacked/localization/ar/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ar","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u0645\u0633\u0627\u0639\u062F\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633", diff --git a/unpacked/localization/ar/MathML.js b/unpacked/localization/ar/MathML.js index 1e6ec1f54d..f0c53cd28f 100644 --- a/unpacked/localization/ar/MathML.js +++ b/unpacked/localization/ar/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ar","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph \u0633\u064A\u0626\u0629: %1", diff --git a/unpacked/localization/ar/MathMenu.js b/unpacked/localization/ar/MathMenu.js index fad31aef80..5b32097a02 100644 --- a/unpacked/localization/ar/MathMenu.js +++ b/unpacked/localization/ar/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ar","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u062A\u0638\u0647\u0631 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0643", diff --git a/unpacked/localization/ar/TeX.js b/unpacked/localization/ar/TeX.js index 4d0640db51..25e0b4596d 100644 --- a/unpacked/localization/ar/TeX.js +++ b/unpacked/localization/ar/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ar","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0642\u0648\u0633 \u0645\u0641\u062A\u0648\u062D \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u063A\u0644\u0642 \u0642\u0648\u0633 \u0645\u0641\u0642\u0648\u062F", diff --git a/unpacked/localization/ar/ar.js b/unpacked/localization/ar/ar.js index f3ba5715af..47e098de92 100644 --- a/unpacked/localization/ar/ar.js +++ b/unpacked/localization/ar/ar.js @@ -2,7 +2,7 @@ * * MathJax/localization/ar/ar.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,11 +20,11 @@ MathJax.Localization.addTranslation("ar",null,{ menuTitle: "\u0627\u0644\u0639\u0631\u0628\u064A\u0629", fontDirection: "rtl", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u062E\u0637\u0623 \u0645\u0639\u0627\u0644\u062C\u0629 \u0631\u064A\u0627\u0636\u064A\u0629", diff --git a/unpacked/localization/ast/FontWarnings.js b/unpacked/localization/ast/FontWarnings.js index 6c2983aab9..c2f340dc1b 100644 --- a/unpacked/localization/ast/FontWarnings.js +++ b/unpacked/localization/ast/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ast","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax ta usando fontes basaes en web p'amosar les matem\u00E1tiques d'esta p\u00E1xina. Lleva un tiempu descargales, de manera que la p\u00E1xina apaecer\u00E1 m\u00E1s r\u00E1pidamente si instala direutamente les fontes matem\u00E1tiques na carpeta de fontes del so sistema.", diff --git a/unpacked/localization/ast/HTML-CSS.js b/unpacked/localization/ast/HTML-CSS.js index 35c65c25b7..5a415980a2 100644 --- a/unpacked/localization/ast/HTML-CSS.js +++ b/unpacked/localization/ast/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ast","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Cargando la tipograf\u00EDa web %1", diff --git a/unpacked/localization/ast/HelpDialog.js b/unpacked/localization/ast/HelpDialog.js index 8fd1b95fa6..067ed2c58a 100644 --- a/unpacked/localization/ast/HelpDialog.js +++ b/unpacked/localization/ast/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ast","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Ayuda de MathJax", diff --git a/unpacked/localization/ast/MathML.js b/unpacked/localization/ast/MathML.js index 687a7c90e5..6a87833d9e 100644 --- a/unpacked/localization/ast/MathML.js +++ b/unpacked/localization/ast/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ast","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Mglyph incorreutu: %1", diff --git a/unpacked/localization/ast/MathMenu.js b/unpacked/localization/ast/MathMenu.js index 7f5b78a659..6f5371526e 100644 --- a/unpacked/localization/ast/MathMenu.js +++ b/unpacked/localization/ast/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ast","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Ver les f\u00F3rmules como", diff --git a/unpacked/localization/ast/TeX.js b/unpacked/localization/ast/TeX.js index f071defe52..0c16401c61 100644 --- a/unpacked/localization/ast/TeX.js +++ b/unpacked/localization/ast/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ast","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Hai una llave d'apertura de m\u00E1s o falta una llave de zarramientu", diff --git a/unpacked/localization/ast/ast.js b/unpacked/localization/ast/ast.js index 9cf17efb08..2b1ef4b3af 100644 --- a/unpacked/localization/ast/ast.js +++ b/unpacked/localization/ast/ast.js @@ -2,7 +2,7 @@ * * MathJax/localization/ast/ast.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ast",null,{ menuTitle: "asturianu", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax alcontr\u00F3 una cookie de configuraci\u00F3n d'usuariu qu'incluye c\u00F3digu a executar. \u00BFQuier executar esi c\u00F3digu?\n\n(Tendr\u00EDa de calcar \u00ABEncaboxar\u00BB a menos que creara la cookie vust\u00E9 mesmu.)", diff --git a/unpacked/localization/bcc/FontWarnings.js b/unpacked/localization/bcc/FontWarnings.js index 0745f6d4e5..e1955b74e2 100644 --- a/unpacked/localization/bcc/FontWarnings.js +++ b/unpacked/localization/bcc/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bcc","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bcc/HTML-CSS.js b/unpacked/localization/bcc/HTML-CSS.js index 750c71914b..025e5a9d16 100644 --- a/unpacked/localization/bcc/HTML-CSS.js +++ b/unpacked/localization/bcc/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bcc","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bcc/HelpDialog.js b/unpacked/localization/bcc/HelpDialog.js index eb5e00e138..273731625f 100644 --- a/unpacked/localization/bcc/HelpDialog.js +++ b/unpacked/localization/bcc/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bcc","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bcc/MathML.js b/unpacked/localization/bcc/MathML.js index faa2943651..b3aafc88ab 100644 --- a/unpacked/localization/bcc/MathML.js +++ b/unpacked/localization/bcc/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bcc","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bcc/MathMenu.js b/unpacked/localization/bcc/MathMenu.js index de6bbeb2c6..ba74d7fc7f 100644 --- a/unpacked/localization/bcc/MathMenu.js +++ b/unpacked/localization/bcc/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bcc","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bcc/TeX.js b/unpacked/localization/bcc/TeX.js index ebee389b6b..09257f89f9 100644 --- a/unpacked/localization/bcc/TeX.js +++ b/unpacked/localization/bcc/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bcc","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647", diff --git a/unpacked/localization/bcc/bcc.js b/unpacked/localization/bcc/bcc.js index 2c1bd8a24d..1f27eb74bd 100644 --- a/unpacked/localization/bcc/bcc.js +++ b/unpacked/localization/bcc/bcc.js @@ -2,7 +2,7 @@ * * MathJax/localization/bcc/bcc.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,11 +20,11 @@ MathJax.Localization.addTranslation("bcc",null,{ menuTitle: "\u0628\u0644\u0648\u0686\u06CC", fontDirection: "rtl", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC", diff --git a/unpacked/localization/bg/FontWarnings.js b/unpacked/localization/bg/FontWarnings.js index d96a4f6725..720e0362ad 100644 --- a/unpacked/localization/bg/FontWarnings.js +++ b/unpacked/localization/bg/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bg","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bg/HTML-CSS.js b/unpacked/localization/bg/HTML-CSS.js index d9d0a4568a..d7fc30e8da 100644 --- a/unpacked/localization/bg/HTML-CSS.js +++ b/unpacked/localization/bg/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bg","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bg/HelpDialog.js b/unpacked/localization/bg/HelpDialog.js index 51ae54e243..2b83fd062c 100644 --- a/unpacked/localization/bg/HelpDialog.js +++ b/unpacked/localization/bg/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bg","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bg/MathML.js b/unpacked/localization/bg/MathML.js index 60bc90bbc2..84afb3e7fe 100644 --- a/unpacked/localization/bg/MathML.js +++ b/unpacked/localization/bg/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bg","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/bg/MathMenu.js b/unpacked/localization/bg/MathMenu.js index fd5fe2ee92..1329dc23f9 100644 --- a/unpacked/localization/bg/MathMenu.js +++ b/unpacked/localization/bg/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bg","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u041F\u043E\u043A\u0430\u0436\u0438 \u043A\u0430\u0442\u043E", diff --git a/unpacked/localization/bg/TeX.js b/unpacked/localization/bg/TeX.js index ade9f717ac..8e90d11ac8 100644 --- a/unpacked/localization/bg/TeX.js +++ b/unpacked/localization/bg/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("bg","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u043D\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430\u0449\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430", diff --git a/unpacked/localization/bg/bg.js b/unpacked/localization/bg/bg.js index f029d54246..3c1dbdc617 100644 --- a/unpacked/localization/bg/bg.js +++ b/unpacked/localization/bg/bg.js @@ -2,7 +2,7 @@ * * MathJax/localization/bg/bg.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("bg",null,{ menuTitle: " \u0431\u044A\u043B\u0433\u0430\u0440\u0441\u043A\u0438", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430\u0442\u0430", diff --git a/unpacked/localization/br/FontWarnings.js b/unpacked/localization/br/FontWarnings.js index 06c565fd07..16da3972aa 100644 --- a/unpacked/localization/br/FontWarnings.js +++ b/unpacked/localization/br/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("br","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax a implij ar fonto\u00F9 web evit diskwel ar jedado\u00F9 war ar bajenn-ma\u00F1. Pell eo ar re-se o pellgarga\u00F1 ha diskwelet e vefe buanoc'h ma stailhfec'h fonto\u00F9 jedoniezh war-eeun e teuliad fonto\u00F9 ho reizhiad.", diff --git a/unpacked/localization/br/HTML-CSS.js b/unpacked/localization/br/HTML-CSS.js index ecb851ce14..038607647b 100644 --- a/unpacked/localization/br/HTML-CSS.js +++ b/unpacked/localization/br/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("br","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "O karga\u00F1 ar font web %1", diff --git a/unpacked/localization/br/HelpDialog.js b/unpacked/localization/br/HelpDialog.js index c043a3d848..e02bd2543b 100644 --- a/unpacked/localization/br/HelpDialog.js +++ b/unpacked/localization/br/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("br","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Sikour MathJax", diff --git a/unpacked/localization/br/MathML.js b/unpacked/localization/br/MathML.js index e922ecfce8..dfcc44c380 100644 --- a/unpacked/localization/br/MathML.js +++ b/unpacked/localization/br/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("br","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph fall : %1", diff --git a/unpacked/localization/br/MathMenu.js b/unpacked/localization/br/MathMenu.js index 0409a11e31..846d8cecde 100644 --- a/unpacked/localization/br/MathMenu.js +++ b/unpacked/localization/br/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("br","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Diskouez ar formulenn evel", diff --git a/unpacked/localization/br/TeX.js b/unpacked/localization/br/TeX.js index 1bdfd9d4c6..3f3e4cdf2e 100644 --- a/unpacked/localization/br/TeX.js +++ b/unpacked/localization/br/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("br","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Briataenn digeri\u00F1 a re pe briataenn serri\u00F1 diank", diff --git a/unpacked/localization/br/br.js b/unpacked/localization/br/br.js index 121e6e5a7d..98c30265d4 100644 --- a/unpacked/localization/br/br.js +++ b/unpacked/localization/br/br.js @@ -2,7 +2,7 @@ * * MathJax/localization/br/br.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("br",null,{ menuTitle: "brezhoneg", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Fazi o treta\u00F1 ar formulenn", diff --git a/unpacked/localization/ca/FontWarnings.js b/unpacked/localization/ca/FontWarnings.js index fed5c77011..1ee65825ed 100644 --- a/unpacked/localization/ca/FontWarnings.js +++ b/unpacked/localization/ca/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ca","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax est\u00E0 utilitzant fonts basades en web per mostrar les expressions matem\u00E0tiques d'aquesta p\u00E0gina. Aix\u00F2 porta un temps per descarregar, de tal manera que la p\u00E0gina es mostrar\u00E0 m\u00E9s r\u00E0pidament si instal\u00B7leu les fonts matem\u00E0tiques directament a la vostra carpeta de sistema de fonts.", diff --git a/unpacked/localization/ca/HTML-CSS.js b/unpacked/localization/ca/HTML-CSS.js index 4c7573bfdd..87b2b237e8 100644 --- a/unpacked/localization/ca/HTML-CSS.js +++ b/unpacked/localization/ca/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ca","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Carregant font web %1", diff --git a/unpacked/localization/ca/HelpDialog.js b/unpacked/localization/ca/HelpDialog.js index de5555a7b6..58ca22b71f 100644 --- a/unpacked/localization/ca/HelpDialog.js +++ b/unpacked/localization/ca/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ca","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Ajuda MathJax", diff --git a/unpacked/localization/ca/MathML.js b/unpacked/localization/ca/MathML.js index ca2086e859..1ac2ee3949 100644 --- a/unpacked/localization/ca/MathML.js +++ b/unpacked/localization/ca/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ca","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Mglyph incorrecte: %1", diff --git a/unpacked/localization/ca/MathMenu.js b/unpacked/localization/ca/MathMenu.js index c52b15bda5..907e7f856f 100644 --- a/unpacked/localization/ca/MathMenu.js +++ b/unpacked/localization/ca/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ca","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Mostra f\u00F3rmules com a", diff --git a/unpacked/localization/ca/TeX.js b/unpacked/localization/ca/TeX.js index 7df70ada73..9076f56bfb 100644 --- a/unpacked/localization/ca/TeX.js +++ b/unpacked/localization/ca/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ca","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Sobra una clau d'apertura o falta una clau de tancament", diff --git a/unpacked/localization/ca/ca.js b/unpacked/localization/ca/ca.js index a05ab99d2f..77b855ff43 100644 --- a/unpacked/localization/ca/ca.js +++ b/unpacked/localization/ca/ca.js @@ -2,7 +2,7 @@ * * MathJax/localization/ca/ca.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ca",null,{ menuTitle: "catal\u00E0", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax ha trobat una galeta de configuraci\u00F3 d'usuari que inclou codi que s'ha d'executar. Voleu executar-lo?", diff --git a/unpacked/localization/cdo/FontWarnings.js b/unpacked/localization/cdo/FontWarnings.js index 8bf7f22ab3..a738ae222d 100644 --- a/unpacked/localization/cdo/FontWarnings.js +++ b/unpacked/localization/cdo/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cdo","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cdo/HTML-CSS.js b/unpacked/localization/cdo/HTML-CSS.js index 8a6b9c3fff..5d3a87359f 100644 --- a/unpacked/localization/cdo/HTML-CSS.js +++ b/unpacked/localization/cdo/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cdo","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cdo/HelpDialog.js b/unpacked/localization/cdo/HelpDialog.js index 628b0b1128..3eec3b8fa7 100644 --- a/unpacked/localization/cdo/HelpDialog.js +++ b/unpacked/localization/cdo/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cdo","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cdo/MathML.js b/unpacked/localization/cdo/MathML.js index 24031546bf..0be16e0c58 100644 --- a/unpacked/localization/cdo/MathML.js +++ b/unpacked/localization/cdo/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cdo","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cdo/MathMenu.js b/unpacked/localization/cdo/MathMenu.js index 627e456c97..a918bfaef1 100644 --- a/unpacked/localization/cdo/MathMenu.js +++ b/unpacked/localization/cdo/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cdo","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cdo/TeX.js b/unpacked/localization/cdo/TeX.js index a09d613044..adf39eafee 100644 --- a/unpacked/localization/cdo/TeX.js +++ b/unpacked/localization/cdo/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cdo","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cdo/cdo.js b/unpacked/localization/cdo/cdo.js index cb20c708b6..b459ed089b 100644 --- a/unpacked/localization/cdo/cdo.js +++ b/unpacked/localization/cdo/cdo.js @@ -2,7 +2,7 @@ * * MathJax/localization/cdo/cdo.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("cdo",null,{ menuTitle: "M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax\u5DF2\u7D93\u8A0E\u8457\u5305\u62EC\u6703\u904B\u884C\u5176\u4EE3\u78BC\u5176\u7528\u6236\u914D\u7F6Ecookie\u3002\u6C5D\u6709\u60F3\u904B\u884C\u7121\uFF1F\n\n\uFF08\u9664\u958B\u9019\u78BA\u5BE6\u662F\u6C5D\u81EA\u5BB6\u7279\u610F\u8A2D\u5176cookie\uFF0C\u82E5\u7121\u6C5D\u8457\u9EDE\u53D6\u6D88\u3002\uFF09", diff --git a/unpacked/localization/ce/FontWarnings.js b/unpacked/localization/ce/FontWarnings.js index adc4fb26f9..aebed0a146 100644 --- a/unpacked/localization/ce/FontWarnings.js +++ b/unpacked/localization/ce/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ce","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ce/HTML-CSS.js b/unpacked/localization/ce/HTML-CSS.js index fd0bd82218..9d3b53f39c 100644 --- a/unpacked/localization/ce/HTML-CSS.js +++ b/unpacked/localization/ce/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ce","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ce/HelpDialog.js b/unpacked/localization/ce/HelpDialog.js index 7c0b6c0c76..0ca79620be 100644 --- a/unpacked/localization/ce/HelpDialog.js +++ b/unpacked/localization/ce/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ce","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ce/MathML.js b/unpacked/localization/ce/MathML.js index faf7d3a7da..76f974d055 100644 --- a/unpacked/localization/ce/MathML.js +++ b/unpacked/localization/ce/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ce","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ce/MathMenu.js b/unpacked/localization/ce/MathMenu.js index 98c70e8e3a..fdc8decf1d 100644 --- a/unpacked/localization/ce/MathMenu.js +++ b/unpacked/localization/ce/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ce","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ce/TeX.js b/unpacked/localization/ce/TeX.js index 82ce4dc333..a47dfe8e65 100644 --- a/unpacked/localization/ce/TeX.js +++ b/unpacked/localization/ce/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ce","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ce/ce.js b/unpacked/localization/ce/ce.js index 64d917853c..a3e6200558 100644 --- a/unpacked/localization/ce/ce.js +++ b/unpacked/localization/ce/ce.js @@ -2,7 +2,7 @@ * * MathJax/localization/ce/ce.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ce",null,{ menuTitle: "\u041D\u043E\u0445\u0447\u0438\u0439\u043D \u043C\u043E\u0442\u0442", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438\u043D \u043A\u0435\u0447\u0434\u0430\u0440\u0430\u043D \u0433\u04C0\u0430\u043B\u0430\u0442", diff --git a/unpacked/localization/cs/FontWarnings.js b/unpacked/localization/cs/FontWarnings.js index 25876646ca..0d0bed4277 100644 --- a/unpacked/localization/cs/FontWarnings.js +++ b/unpacked/localization/cs/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cs","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax pou\u017E\u00EDv\u00E1 k zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce webov\u00E1 p\u00EDsma. T\u011Bm trv\u00E1 sta\u017Een\u00ED n\u011Bjakou dobu, tak\u017Ee str\u00E1nka by se vykreslila rychleji, pokud byste si tato matematick\u00E1 p\u00EDsma nainstalovali p\u0159\u00EDmo do syst\u00E9mov\u00E9 slo\u017Eky p\u00EDsem.", diff --git a/unpacked/localization/cs/HTML-CSS.js b/unpacked/localization/cs/HTML-CSS.js index acf7bf501e..3762628463 100644 --- a/unpacked/localization/cs/HTML-CSS.js +++ b/unpacked/localization/cs/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cs","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Na\u010D\u00EDt\u00E1 se web-font %1", diff --git a/unpacked/localization/cs/HelpDialog.js b/unpacked/localization/cs/HelpDialog.js index 5b3d75f6fa..0730d25b98 100644 --- a/unpacked/localization/cs/HelpDialog.js +++ b/unpacked/localization/cs/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cs","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "N\u00E1pov\u011Bda k MathJaxu", diff --git a/unpacked/localization/cs/MathML.js b/unpacked/localization/cs/MathML.js index 53eb8a1509..5b0cdd1356 100644 --- a/unpacked/localization/cs/MathML.js +++ b/unpacked/localization/cs/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cs","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Chybn\u00FD mglyph: %1", diff --git a/unpacked/localization/cs/MathMenu.js b/unpacked/localization/cs/MathMenu.js index 7f5c999d13..4146883698 100644 --- a/unpacked/localization/cs/MathMenu.js +++ b/unpacked/localization/cs/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cs","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Zobrazit matematiku jako", diff --git a/unpacked/localization/cs/TeX.js b/unpacked/localization/cs/TeX.js index eb19ac1e22..65debb4cd2 100644 --- a/unpacked/localization/cs/TeX.js +++ b/unpacked/localization/cs/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cs","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "P\u0159eb\u00FDvaj\u00EDc\u00ED otv\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka", diff --git a/unpacked/localization/cs/cs.js b/unpacked/localization/cs/cs.js index 96b838a812..9db4055075 100644 --- a/unpacked/localization/cs/cs.js +++ b/unpacked/localization/cs/cs.js @@ -2,7 +2,7 @@ * * MathJax/localization/cs/cs.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("cs",null,{ menuTitle: "\u010De\u0161tina", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax nalezl cookie u\u017Eivatelsk\u00E9 konfigurace obsahuj\u00EDc\u00ED spustiteln\u00FD k\u00F3d. Chcete ho spustit?\n\n(Pokud jste cookie nenastavili sami, m\u011Bli byste stisknout Storno.)", diff --git a/unpacked/localization/cy/FontWarnings.js b/unpacked/localization/cy/FontWarnings.js index 61f83696dc..a700f1eeaa 100644 --- a/unpacked/localization/cy/FontWarnings.js +++ b/unpacked/localization/cy/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cy","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cy/HTML-CSS.js b/unpacked/localization/cy/HTML-CSS.js index 5d4b4c4a57..d9706dd4d1 100644 --- a/unpacked/localization/cy/HTML-CSS.js +++ b/unpacked/localization/cy/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cy","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cy/HelpDialog.js b/unpacked/localization/cy/HelpDialog.js index 2b4a626431..5830c716fd 100644 --- a/unpacked/localization/cy/HelpDialog.js +++ b/unpacked/localization/cy/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cy","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cy/MathML.js b/unpacked/localization/cy/MathML.js index cacd64dd79..5d4b9e15c7 100644 --- a/unpacked/localization/cy/MathML.js +++ b/unpacked/localization/cy/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cy","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cy/MathMenu.js b/unpacked/localization/cy/MathMenu.js index 0395f54e1c..4d7fe23e73 100644 --- a/unpacked/localization/cy/MathMenu.js +++ b/unpacked/localization/cy/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cy","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cy/TeX.js b/unpacked/localization/cy/TeX.js index 28b5820ca2..8e5b59a1ee 100644 --- a/unpacked/localization/cy/TeX.js +++ b/unpacked/localization/cy/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("cy","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/cy/cy.js b/unpacked/localization/cy/cy.js index 4fc5c7057c..50e8f0d477 100644 --- a/unpacked/localization/cy/cy.js +++ b/unpacked/localization/cy/cy.js @@ -2,7 +2,7 @@ * * MathJax/localization/cy/cy.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("cy",null,{ menuTitle: "Cymraeg", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Gwall prosesu mathemateg", diff --git a/unpacked/localization/da/FontWarnings.js b/unpacked/localization/da/FontWarnings.js index 1fcf166736..8f007b0c3e 100644 --- a/unpacked/localization/da/FontWarnings.js +++ b/unpacked/localization/da/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("da","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax bruger web-baserede skrifttyper til at vise det matematiske p\u00E5 denne side. Dette tager tid at hente, s\u00E5 siden ville blive hurtigere, hvis du installerede matematiske skrifttyper direkte i dit systems skrifttypemappe.", diff --git a/unpacked/localization/da/HTML-CSS.js b/unpacked/localization/da/HTML-CSS.js index 4b547f5f99..3724e4e73c 100644 --- a/unpacked/localization/da/HTML-CSS.js +++ b/unpacked/localization/da/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("da","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Indl\u00E6ser webskrifftype %1", diff --git a/unpacked/localization/da/HelpDialog.js b/unpacked/localization/da/HelpDialog.js index fd876c6649..dc4fe780af 100644 --- a/unpacked/localization/da/HelpDialog.js +++ b/unpacked/localization/da/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("da","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax hj\u00E6lp", diff --git a/unpacked/localization/da/MathML.js b/unpacked/localization/da/MathML.js index 73f7daa5fb..100a3f3351 100644 --- a/unpacked/localization/da/MathML.js +++ b/unpacked/localization/da/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("da","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "D\u00E5rlig mglyph: %1", diff --git a/unpacked/localization/da/MathMenu.js b/unpacked/localization/da/MathMenu.js index 176252aad4..b2a1dfaf1e 100644 --- a/unpacked/localization/da/MathMenu.js +++ b/unpacked/localization/da/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("da","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Vis matematik som", diff --git a/unpacked/localization/da/TeX.js b/unpacked/localization/da/TeX.js index f309364fea..408f42d03f 100644 --- a/unpacked/localization/da/TeX.js +++ b/unpacked/localization/da/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("da","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Ekstra venstreklammeparentes eller manglende h\u00F8jreklammeparentes", diff --git a/unpacked/localization/da/da.js b/unpacked/localization/da/da.js index 18d41e03ce..0986f8200d 100644 --- a/unpacked/localization/da/da.js +++ b/unpacked/localization/da/da.js @@ -2,7 +2,7 @@ * * MathJax/localization/da/da.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("da",null,{ menuTitle: "dansk", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax har fundet en cookie med brugerkonfiguration, der indeholder kode til at k\u00F8re. Vil du k\u00F8re det?\n\n(Du b\u00F8r trykke p\u00E5 Annuller, medmindre du oprettede cookien selv.)", diff --git a/unpacked/localization/de/FontWarnings.js b/unpacked/localization/de/FontWarnings.js index facaebe41d..92fb8b942f 100644 --- a/unpacked/localization/de/FontWarnings.js +++ b/unpacked/localization/de/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("de","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax nutz web-basierte Fonts zur Darstellung der Mathematik auf dieser Seite. Da diese heruntergeladen werden m\u00FCssen, l\u00E4dt die Seite schneller, wenn Mathe-Fonts auf dem System installiert sind.", diff --git a/unpacked/localization/de/HTML-CSS.js b/unpacked/localization/de/HTML-CSS.js index 9d7a7bc453..c44b2b8cdc 100644 --- a/unpacked/localization/de/HTML-CSS.js +++ b/unpacked/localization/de/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("de","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Lade Webfont %1", diff --git a/unpacked/localization/de/HelpDialog.js b/unpacked/localization/de/HelpDialog.js index 4bf26ee2b7..e0f94ec411 100644 --- a/unpacked/localization/de/HelpDialog.js +++ b/unpacked/localization/de/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("de","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax Hilfe", diff --git a/unpacked/localization/de/MathML.js b/unpacked/localization/de/MathML.js index 73b6532664..e35467251b 100644 --- a/unpacked/localization/de/MathML.js +++ b/unpacked/localization/de/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("de","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "ung\u00FCltige mglyph: %1", diff --git a/unpacked/localization/de/MathMenu.js b/unpacked/localization/de/MathMenu.js index 35e17c650d..97c2d744a7 100644 --- a/unpacked/localization/de/MathMenu.js +++ b/unpacked/localization/de/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("de","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Zeige mathematischen Ausdruck als", diff --git a/unpacked/localization/de/TeX.js b/unpacked/localization/de/TeX.js index a46bff046d..7b3fefd5f8 100644 --- a/unpacked/localization/de/TeX.js +++ b/unpacked/localization/de/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("de","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Zus\u00E4tzliche \u00F6ffnende, oder fehlende schlie\u00DFende Klammer", diff --git a/unpacked/localization/de/de.js b/unpacked/localization/de/de.js index c77366fab3..4c619abd6c 100644 --- a/unpacked/localization/de/de.js +++ b/unpacked/localization/de/de.js @@ -2,7 +2,7 @@ * * MathJax/localization/de/de.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("de",null,{ menuTitle: "Deutsch", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax hat eine Cookie mit ausf\u00FChrbaren Code gefunden. Soll dieser Code ausgef\u00FChrt werden?\n\n(Klicken Sie 'Abbrechen' falls Sie das Cookie nicht selber akzeptiert haben.)", diff --git a/unpacked/localization/diq/FontWarnings.js b/unpacked/localization/diq/FontWarnings.js index 7386232661..31377a5679 100644 --- a/unpacked/localization/diq/FontWarnings.js +++ b/unpacked/localization/diq/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("diq","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/diq/HTML-CSS.js b/unpacked/localization/diq/HTML-CSS.js index 163f33a80f..bb04d0fbcc 100644 --- a/unpacked/localization/diq/HTML-CSS.js +++ b/unpacked/localization/diq/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("diq","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Web font %1 bar beno", diff --git a/unpacked/localization/diq/HelpDialog.js b/unpacked/localization/diq/HelpDialog.js index e4a28739a5..f9b6105ce2 100644 --- a/unpacked/localization/diq/HelpDialog.js +++ b/unpacked/localization/diq/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("diq","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/diq/MathML.js b/unpacked/localization/diq/MathML.js index 2e480851b1..604a117d14 100644 --- a/unpacked/localization/diq/MathML.js +++ b/unpacked/localization/diq/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("diq","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/diq/MathMenu.js b/unpacked/localization/diq/MathMenu.js index 97feb036ff..cc9666225b 100644 --- a/unpacked/localization/diq/MathMenu.js +++ b/unpacked/localization/diq/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("diq","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Zey tebir\u00EA matematik\u00EAni b\u0131mocne", diff --git a/unpacked/localization/diq/TeX.js b/unpacked/localization/diq/TeX.js index 9e01299507..d6ae2cc542 100644 --- a/unpacked/localization/diq/TeX.js +++ b/unpacked/localization/diq/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("diq","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/diq/diq.js b/unpacked/localization/diq/diq.js index c6d7be6175..4ec426c67e 100644 --- a/unpacked/localization/diq/diq.js +++ b/unpacked/localization/diq/diq.js @@ -2,7 +2,7 @@ * * MathJax/localization/diq/diq.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("diq",null,{ menuTitle: "Zazaki", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "X\u0131raba kar\u00EA matematiki", diff --git a/unpacked/localization/en/FontWarnings.js b/unpacked/localization/en/FontWarnings.js index bd67d2ff06..8e39025b00 100644 --- a/unpacked/localization/en/FontWarnings.js +++ b/unpacked/localization/en/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("en","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax is using web-based fonts to display the mathematics on this page. These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder.", diff --git a/unpacked/localization/en/HTML-CSS.js b/unpacked/localization/en/HTML-CSS.js index 9cfee5d92b..2cf3e3fe8f 100644 --- a/unpacked/localization/en/HTML-CSS.js +++ b/unpacked/localization/en/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("en","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Loading web font %1", diff --git a/unpacked/localization/en/HelpDialog.js b/unpacked/localization/en/HelpDialog.js index 0cfe913835..c491556fb4 100644 --- a/unpacked/localization/en/HelpDialog.js +++ b/unpacked/localization/en/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("en","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax Help", diff --git a/unpacked/localization/en/MathML.js b/unpacked/localization/en/MathML.js index 7310e1df60..0512b16b24 100644 --- a/unpacked/localization/en/MathML.js +++ b/unpacked/localization/en/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("en","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Bad mglyph: %1", diff --git a/unpacked/localization/en/MathMenu.js b/unpacked/localization/en/MathMenu.js index be2123eaca..8ae5bc1c7f 100644 --- a/unpacked/localization/en/MathMenu.js +++ b/unpacked/localization/en/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("en","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Show math as", diff --git a/unpacked/localization/en/TeX.js b/unpacked/localization/en/TeX.js index dd7daeb24d..f521081b31 100644 --- a/unpacked/localization/en/TeX.js +++ b/unpacked/localization/en/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("en","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Extra open brace or missing close brace", diff --git a/unpacked/localization/en/en.js b/unpacked/localization/en/en.js index 28e127a3ca..42781c430c 100644 --- a/unpacked/localization/en/en.js +++ b/unpacked/localization/en/en.js @@ -2,7 +2,7 @@ * * MathJax/localization/en/en.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("en",null,{ menuTitle: "English", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)", diff --git a/unpacked/localization/eo/FontWarnings.js b/unpacked/localization/eo/FontWarnings.js index deeca6066c..2b1233e372 100644 --- a/unpacked/localization/eo/FontWarnings.js +++ b/unpacked/localization/eo/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("eo","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/eo/HTML-CSS.js b/unpacked/localization/eo/HTML-CSS.js index e760ca9808..d1da1302df 100644 --- a/unpacked/localization/eo/HTML-CSS.js +++ b/unpacked/localization/eo/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("eo","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/eo/HelpDialog.js b/unpacked/localization/eo/HelpDialog.js index ae826ec29f..2de40fcdf9 100644 --- a/unpacked/localization/eo/HelpDialog.js +++ b/unpacked/localization/eo/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("eo","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/eo/MathML.js b/unpacked/localization/eo/MathML.js index ab8e209c96..765b727f28 100644 --- a/unpacked/localization/eo/MathML.js +++ b/unpacked/localization/eo/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("eo","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/eo/MathMenu.js b/unpacked/localization/eo/MathMenu.js index 479bde55b4..9e15a90766 100644 --- a/unpacked/localization/eo/MathMenu.js +++ b/unpacked/localization/eo/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("eo","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/eo/TeX.js b/unpacked/localization/eo/TeX.js index d8fc69df2b..5087dfb14a 100644 --- a/unpacked/localization/eo/TeX.js +++ b/unpacked/localization/eo/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("eo","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/eo/eo.js b/unpacked/localization/eo/eo.js index 5f977b1164..0332197cf4 100644 --- a/unpacked/localization/eo/eo.js +++ b/unpacked/localization/eo/eo.js @@ -2,7 +2,7 @@ * * MathJax/localization/eo/eo.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("eo",null,{ menuTitle: "Esperanto", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Loading: "\u015Cargado", diff --git a/unpacked/localization/es/FontWarnings.js b/unpacked/localization/es/FontWarnings.js index 660353c3c5..8b0d5c9080 100644 --- a/unpacked/localization/es/FontWarnings.js +++ b/unpacked/localization/es/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("es","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax utiliza tipos de letra web para mostrar la notaci\u00F3n matem\u00E1tica de esta p\u00E1gina. Estos tardan un poco en descargarse, por lo que instalarlos en el equipo acelerar\u00E1 la renderizaci\u00F3n de la p\u00E1gina.", diff --git a/unpacked/localization/es/HTML-CSS.js b/unpacked/localization/es/HTML-CSS.js index fe9b5b2226..abcec85e8c 100644 --- a/unpacked/localization/es/HTML-CSS.js +++ b/unpacked/localization/es/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("es","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Cargando el tipo de letra web %1", diff --git a/unpacked/localization/es/HelpDialog.js b/unpacked/localization/es/HelpDialog.js index c220a7cb97..8894df8aaf 100644 --- a/unpacked/localization/es/HelpDialog.js +++ b/unpacked/localization/es/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("es","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Ayuda de MathJax", diff --git a/unpacked/localization/es/MathML.js b/unpacked/localization/es/MathML.js index 09002e69fd..73ec0a0e1e 100644 --- a/unpacked/localization/es/MathML.js +++ b/unpacked/localization/es/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("es","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u00ABmglyph\u00BB da\u00F1ado: %1", diff --git a/unpacked/localization/es/MathMenu.js b/unpacked/localization/es/MathMenu.js index 0c28ef4ea7..9d5d446c70 100644 --- a/unpacked/localization/es/MathMenu.js +++ b/unpacked/localization/es/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("es","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Mostrar las f\u00F3rmulas como", diff --git a/unpacked/localization/es/TeX.js b/unpacked/localization/es/TeX.js index 0655e680f1..60b90124c8 100644 --- a/unpacked/localization/es/TeX.js +++ b/unpacked/localization/es/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("es","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Llave de apertura adicional o falta la llave de cierre", diff --git a/unpacked/localization/es/es.js b/unpacked/localization/es/es.js index 419a1eab65..be9f81a146 100644 --- a/unpacked/localization/es/es.js +++ b/unpacked/localization/es/es.js @@ -2,7 +2,7 @@ * * MathJax/localization/es/es.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("es",null,{ menuTitle: "espa\u00F1ol", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax ha encontrado una cookie de configuraci\u00F3n de usuario que incluye c\u00F3digo para ser ejecutado.\u00BFQuieres ejecutarlo?\n\\n\n(Pulse Cancelar al menos que configure la cookie).", diff --git a/unpacked/localization/fa/FontWarnings.js b/unpacked/localization/fa/FontWarnings.js index a1833b7c66..333cc37141 100644 --- a/unpacked/localization/fa/FontWarnings.js +++ b/unpacked/localization/fa/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fa","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.", diff --git a/unpacked/localization/fa/HTML-CSS.js b/unpacked/localization/fa/HTML-CSS.js index 9711f61e24..3086576060 100644 --- a/unpacked/localization/fa/HTML-CSS.js +++ b/unpacked/localization/fa/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fa","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1", diff --git a/unpacked/localization/fa/HelpDialog.js b/unpacked/localization/fa/HelpDialog.js index dde9c05d81..2a22f981b7 100644 --- a/unpacked/localization/fa/HelpDialog.js +++ b/unpacked/localization/fa/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fa","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax", diff --git a/unpacked/localization/fa/MathML.js b/unpacked/localization/fa/MathML.js index 313676899a..8d670b1813 100644 --- a/unpacked/localization/fa/MathML.js +++ b/unpacked/localization/fa/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fa","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1", diff --git a/unpacked/localization/fa/MathMenu.js b/unpacked/localization/fa/MathMenu.js index 2a444a5c1a..a40ad2375c 100644 --- a/unpacked/localization/fa/MathMenu.js +++ b/unpacked/localization/fa/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fa","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646", diff --git a/unpacked/localization/fa/TeX.js b/unpacked/localization/fa/TeX.js index 321aa2e967..b89b2c3887 100644 --- a/unpacked/localization/fa/TeX.js +++ b/unpacked/localization/fa/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fa","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647", diff --git a/unpacked/localization/fa/fa.js b/unpacked/localization/fa/fa.js index 025a415771..86104620f7 100644 --- a/unpacked/localization/fa/fa.js +++ b/unpacked/localization/fa/fa.js @@ -2,7 +2,7 @@ * * MathJax/localization/fa/fa.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,11 +20,11 @@ MathJax.Localization.addTranslation("fa",null,{ menuTitle: "\u0641\u0627\u0631\u0633\u06CC", fontDirection: "rtl", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u06CC\u06A9 \u06A9\u0644\u0648\u0686\u06A9 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u06A9\u0627\u0631\u0628\u0631\u06CC \u06CC\u0627\u0641\u062A \u06A9\u0647 \u0634\u0627\u0645\u0644 \u06A9\u062F \u0627\u062C\u0631\u0627\u06CC\u06CC \u0627\u0633\u062A. \u0622\u06CC\u0627 \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u0622\u0646 \u0631\u0627 \u0627\u062C\u0631\u0627 \u06A9\u0646\u06CC\u062F\u061F\n\n(\u0628\u0647\u062A\u0631 \u0627\u0633\u062A \u0628\u0631 \u0644\u063A\u0648 \u0628\u0641\u0634\u0627\u0631\u06CC\u062F \u0645\u06AF\u0631 \u0627\u06CC\u0646\u06A9\u0647 \u062E\u0648\u062F\u062A\u0627\u0646 \u06A9\u0644\u0648\u0686\u06A9 \u0631\u0627 \u062A\u0646\u0638\u06CC\u0645\u200C\u06A9\u0631\u062F\u0647\u200C\u0627\u06CC\u062F.)", diff --git a/unpacked/localization/fi/FontWarnings.js b/unpacked/localization/fi/FontWarnings.js index b61ac4cc26..55ebc6b87f 100644 --- a/unpacked/localization/fi/FontWarnings.js +++ b/unpacked/localization/fi/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fi","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/fi/HTML-CSS.js b/unpacked/localization/fi/HTML-CSS.js index c77b2ebb5a..e1fc310141 100644 --- a/unpacked/localization/fi/HTML-CSS.js +++ b/unpacked/localization/fi/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fi","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/fi/HelpDialog.js b/unpacked/localization/fi/HelpDialog.js index 03d0d520ac..e252f2c3c4 100644 --- a/unpacked/localization/fi/HelpDialog.js +++ b/unpacked/localization/fi/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fi","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/fi/MathML.js b/unpacked/localization/fi/MathML.js index cdfee6dc81..0bdc0a05d7 100644 --- a/unpacked/localization/fi/MathML.js +++ b/unpacked/localization/fi/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fi","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/fi/MathMenu.js b/unpacked/localization/fi/MathMenu.js index a0e70ea050..466abab3d1 100644 --- a/unpacked/localization/fi/MathMenu.js +++ b/unpacked/localization/fi/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fi","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathMLcode: "MathML-koodi", diff --git a/unpacked/localization/fi/TeX.js b/unpacked/localization/fi/TeX.js index 2fcddbfb87..ca5e793e81 100644 --- a/unpacked/localization/fi/TeX.js +++ b/unpacked/localization/fi/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fi","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/fi/fi.js b/unpacked/localization/fi/fi.js index 43a8c12995..8061487933 100644 --- a/unpacked/localization/fi/fi.js +++ b/unpacked/localization/fi/fi.js @@ -2,7 +2,7 @@ * * MathJax/localization/fi/fi.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("fi",null,{ menuTitle: "suomi", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax on l\u00F6yt\u00E4nyt ev\u00E4steen, joka sis\u00E4lt\u00E4\u00E4 asetuksia ja ohjelmakoodia. Haluatko ajaa sen?\n\n(Peru, ellet ole luonut ev\u00E4stett\u00E4 itse.)", diff --git a/unpacked/localization/fr/FontWarnings.js b/unpacked/localization/fr/FontWarnings.js index 7c09707316..b724cd39e0 100644 --- a/unpacked/localization/fr/FontWarnings.js +++ b/unpacked/localization/fr/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fr","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax utilise les polices web pour afficher les expressions math\u00E9matiques sur cette page. Celles-ci mettent du temps \u00E0 \u00EAtre t\u00E9l\u00E9charg\u00E9es et la page serait affich\u00E9e plus rapidement si vous installiez les polices math\u00E9matiques directement dans le dossier des polices de votre syst\u00E8me.", diff --git a/unpacked/localization/fr/HTML-CSS.js b/unpacked/localization/fr/HTML-CSS.js index db2fb60e4a..c89f973c95 100644 --- a/unpacked/localization/fr/HTML-CSS.js +++ b/unpacked/localization/fr/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fr","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "T\u00E9l\u00E9chargement de la police web %1", diff --git a/unpacked/localization/fr/HelpDialog.js b/unpacked/localization/fr/HelpDialog.js index 82f65070bb..1c8c889f8b 100644 --- a/unpacked/localization/fr/HelpDialog.js +++ b/unpacked/localization/fr/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fr","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Aide MathJax", diff --git a/unpacked/localization/fr/MathML.js b/unpacked/localization/fr/MathML.js index 04090bd691..f33ff6da65 100644 --- a/unpacked/localization/fr/MathML.js +++ b/unpacked/localization/fr/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fr","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u00C9lement mglyph incorrect: %1", diff --git a/unpacked/localization/fr/MathMenu.js b/unpacked/localization/fr/MathMenu.js index adc0eea09c..5740a5d09f 100644 --- a/unpacked/localization/fr/MathMenu.js +++ b/unpacked/localization/fr/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fr","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Afficher sous forme", diff --git a/unpacked/localization/fr/TeX.js b/unpacked/localization/fr/TeX.js index cb7009961a..c278ad6c7f 100644 --- a/unpacked/localization/fr/TeX.js +++ b/unpacked/localization/fr/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("fr","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Accolade ouvrante superflue ou accolade fermante manquante", diff --git a/unpacked/localization/fr/fr.js b/unpacked/localization/fr/fr.js index 1a37790ef2..8915ffa5bb 100644 --- a/unpacked/localization/fr/fr.js +++ b/unpacked/localization/fr/fr.js @@ -2,7 +2,7 @@ * * MathJax/localization/fr/fr.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("fr",null,{ menuTitle: "fran\u00E7ais", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax a trouv\u00E9 un t\u00E9moin (cookie) de configuration utilisateur qui inclut du code ex\u00E9cutable. Souhaitez vous l\u2019ex\u00E9cuter ?\n\n(Choisissez Annuler sauf si vous avez cr\u00E9\u00E9 ce t\u00E9moin vous-m\u00EAme.)", diff --git a/unpacked/localization/gl/FontWarnings.js b/unpacked/localization/gl/FontWarnings.js index e63c69c147..cdd73abaad 100644 --- a/unpacked/localization/gl/FontWarnings.js +++ b/unpacked/localization/gl/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("gl","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/gl/HTML-CSS.js b/unpacked/localization/gl/HTML-CSS.js index b07b8fa535..d02c3f8f47 100644 --- a/unpacked/localization/gl/HTML-CSS.js +++ b/unpacked/localization/gl/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("gl","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Cargando o tipo de letra web %1", diff --git a/unpacked/localization/gl/HelpDialog.js b/unpacked/localization/gl/HelpDialog.js index 393882db47..f2fd2993fd 100644 --- a/unpacked/localization/gl/HelpDialog.js +++ b/unpacked/localization/gl/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("gl","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/gl/MathML.js b/unpacked/localization/gl/MathML.js index 2662a08d10..0be836358c 100644 --- a/unpacked/localization/gl/MathML.js +++ b/unpacked/localization/gl/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("gl","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/gl/MathMenu.js b/unpacked/localization/gl/MathMenu.js index 98940f3d73..1c652b04e7 100644 --- a/unpacked/localization/gl/MathMenu.js +++ b/unpacked/localization/gl/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("gl","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/gl/TeX.js b/unpacked/localization/gl/TeX.js index 0c7e4bae42..adcff6c67c 100644 --- a/unpacked/localization/gl/TeX.js +++ b/unpacked/localization/gl/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("gl","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/gl/gl.js b/unpacked/localization/gl/gl.js index 426e726eda..ea8d3b1430 100644 --- a/unpacked/localization/gl/gl.js +++ b/unpacked/localization/gl/gl.js @@ -2,7 +2,7 @@ * * MathJax/localization/gl/gl.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("gl",null,{ menuTitle: "galego", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax atopou unha cookie de configuraci\u00F3n de usuario que incl\u00FAe c\u00F3digo executable. Quere executar ese c\u00F3digo?\n\n(Deber\u00EDa premer en \"Cancelar\", a menos que vostede crease a cookie.)", diff --git a/unpacked/localization/he/FontWarnings.js b/unpacked/localization/he/FontWarnings.js index 965cff9cd1..31ce92652c 100644 --- a/unpacked/localization/he/FontWarnings.js +++ b/unpacked/localization/he/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("he","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DB\u05D3\u05D9 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05D3\u05DA \u05D4\u05D6\u05D4. \u05D6\u05D4 \u05D3\u05D5\u05E8\u05E9 \u05D6\u05DE\u05DF \u05DC\u05D4\u05D5\u05E8\u05D3\u05D4, \u05D5\u05D4\u05D3\u05E3 \u05D9\u05D5\u05E6\u05D2 \u05DE\u05D4\u05E8 \u05D9\u05D5\u05EA\u05E8 \u05D0\u05DD \u05D9\u05D5\u05EA\u05E7\u05E0\u05D5 \u05D2\u05D5\u05E4\u05E0\u05D9 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05DE\u05E2\u05E8\u05DB\u05EA \u05E9\u05DC\u05DA.", diff --git a/unpacked/localization/he/HTML-CSS.js b/unpacked/localization/he/HTML-CSS.js index 09576aa7df..ed79df4d4a 100644 --- a/unpacked/localization/he/HTML-CSS.js +++ b/unpacked/localization/he/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("he","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u05D8\u05E2\u05D9\u05E0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1", diff --git a/unpacked/localization/he/HelpDialog.js b/unpacked/localization/he/HelpDialog.js index 59c6c2246e..228ea89932 100644 --- a/unpacked/localization/he/HelpDialog.js +++ b/unpacked/localization/he/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("he","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax", diff --git a/unpacked/localization/he/MathML.js b/unpacked/localization/he/MathML.js index f8cb3faf46..97bde78092 100644 --- a/unpacked/localization/he/MathML.js +++ b/unpacked/localization/he/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("he","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u05E8\u05DB\u05D9\u05D1 mglyph \u05D2\u05E8\u05D5\u05E2: %1", diff --git a/unpacked/localization/he/MathMenu.js b/unpacked/localization/he/MathMenu.js index 015ca9297f..f616395b20 100644 --- a/unpacked/localization/he/MathMenu.js +++ b/unpacked/localization/he/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("he","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8", diff --git a/unpacked/localization/he/TeX.js b/unpacked/localization/he/TeX.js index 98fbc6e65e..bbd399753c 100644 --- a/unpacked/localization/he/TeX.js +++ b/unpacked/localization/he/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("he","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8", diff --git a/unpacked/localization/he/he.js b/unpacked/localization/he/he.js index 8878647e55..f7ca9bdb56 100644 --- a/unpacked/localization/he/he.js +++ b/unpacked/localization/he/he.js @@ -2,7 +2,7 @@ * * MathJax/localization/he/he.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,11 +20,11 @@ MathJax.Localization.addTranslation("he",null,{ menuTitle: "\u05E2\u05D1\u05E8\u05D9\u05EA", fontDirection: "rtl", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u05DE\u05E6\u05D0 \u05E2\u05D5\u05D2\u05D9\u05D9\u05EA \u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05E9\u05EA\u05DE\u05E9 \u05E9\u05DB\u05D5\u05DC\u05DC\u05EA \u05E7\u05D5\u05D3 \u05DC\u05D4\u05E8\u05E6\u05D4. \u05D4\u05D0\u05DD \u05DC\u05D4\u05E8\u05D9\u05E5 \u05D0\u05D5\u05EA\u05D5?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 \"\u05D1\u05D9\u05D8\u05D5\u05DC\" \u05D0\u05DC\u05D0 \u05D0\u05DD \u05D4\u05D2\u05D3\u05E8\u05EA \u05D0\u05EA \u05D4\u05E2\u05D5\u05D2\u05D9\u05D9\u05D4 \u05D1\u05E2\u05E6\u05DE\u05DA.)", diff --git a/unpacked/localization/ia/FontWarnings.js b/unpacked/localization/ia/FontWarnings.js index 9f80c16e00..f98d5aeaeb 100644 --- a/unpacked/localization/ia/FontWarnings.js +++ b/unpacked/localization/ia/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ia","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax utilisa typos de litteras discargate del web pro presentar le formulas mathematic in iste pagina. Istes require tempore pro esser discargate; le pagina apparerea plus rapidemente si vos installa le typos de characteres mathematic directemente in le dossier de typos de litteras de vostre computator.", diff --git a/unpacked/localization/ia/HTML-CSS.js b/unpacked/localization/ia/HTML-CSS.js index ef42bbec29..4054d35630 100644 --- a/unpacked/localization/ia/HTML-CSS.js +++ b/unpacked/localization/ia/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ia","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ia/HelpDialog.js b/unpacked/localization/ia/HelpDialog.js index f287ac0245..af4c4b561c 100644 --- a/unpacked/localization/ia/HelpDialog.js +++ b/unpacked/localization/ia/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ia","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Adjuta de MathJax", diff --git a/unpacked/localization/ia/MathML.js b/unpacked/localization/ia/MathML.js index 3c6a5e5aea..da481fbad5 100644 --- a/unpacked/localization/ia/MathML.js +++ b/unpacked/localization/ia/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ia","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ia/MathMenu.js b/unpacked/localization/ia/MathMenu.js index 8a9764d417..cbb33570a4 100644 --- a/unpacked/localization/ia/MathMenu.js +++ b/unpacked/localization/ia/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ia","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ia/TeX.js b/unpacked/localization/ia/TeX.js index 072f4b43f2..aac3d8fc57 100644 --- a/unpacked/localization/ia/TeX.js +++ b/unpacked/localization/ia/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ia","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ia/ia.js b/unpacked/localization/ia/ia.js index 36763c961c..6355bebd18 100644 --- a/unpacked/localization/ia/ia.js +++ b/unpacked/localization/ia/ia.js @@ -2,7 +2,7 @@ * * MathJax/localization/ia/ia.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ia",null,{ menuTitle: "interlingua", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax ha trovate un cookie con un configuration de usator que include codice executabile. Executar iste codice?\n\n(Preme Cancellar si vos mesme non ha installate iste cookie.)", diff --git a/unpacked/localization/it/FontWarnings.js b/unpacked/localization/it/FontWarnings.js index 0c40662034..4116a2fe98 100644 --- a/unpacked/localization/it/FontWarnings.js +++ b/unpacked/localization/it/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("it","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax sta usando dei web font per visualizzare le formule di questa pagina. Tali font richiedono tempo per essere scaricati, perci\u00F2 la pagina sarebbe resa pi\u00F9 velocemente se tu installassi dei font matematici direttamente nella cartella dei font di sistema.", diff --git a/unpacked/localization/it/HTML-CSS.js b/unpacked/localization/it/HTML-CSS.js index 178d4a9c79..1db083c5c0 100644 --- a/unpacked/localization/it/HTML-CSS.js +++ b/unpacked/localization/it/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("it","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Caricamento web-font %1", diff --git a/unpacked/localization/it/HelpDialog.js b/unpacked/localization/it/HelpDialog.js index b0c1c9dc04..b2e7688df6 100644 --- a/unpacked/localization/it/HelpDialog.js +++ b/unpacked/localization/it/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("it","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Aiuto su MathJax", diff --git a/unpacked/localization/it/MathML.js b/unpacked/localization/it/MathML.js index cc18aff94a..3daf972d19 100644 --- a/unpacked/localization/it/MathML.js +++ b/unpacked/localization/it/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("it","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph errato: %1", diff --git a/unpacked/localization/it/MathMenu.js b/unpacked/localization/it/MathMenu.js index 3d27878a41..221c7d91af 100644 --- a/unpacked/localization/it/MathMenu.js +++ b/unpacked/localization/it/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("it","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Mostra formula come", diff --git a/unpacked/localization/it/TeX.js b/unpacked/localization/it/TeX.js index 7b7eba7ec0..d242614b3f 100644 --- a/unpacked/localization/it/TeX.js +++ b/unpacked/localization/it/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("it","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Graffa d'apertura in pi\u00F9 o di chiusura mancante", diff --git a/unpacked/localization/it/it.js b/unpacked/localization/it/it.js index 988b99391f..3e6cda2c3d 100644 --- a/unpacked/localization/it/it.js +++ b/unpacked/localization/it/it.js @@ -2,7 +2,7 @@ * * MathJax/localization/it/it.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("it",null,{ menuTitle: "italiano", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax ha trovato un cookie di configurazione utente che include del codice eseguibile. Vuoi eseguirlo?\n\n(Premi Annulla a meno che non l'abbia effettivamente impostato tu.)", diff --git a/unpacked/localization/ja/FontWarnings.js b/unpacked/localization/ja/FontWarnings.js index 1c1d612a42..b4d909b651 100644 --- a/unpacked/localization/ja/FontWarnings.js +++ b/unpacked/localization/ja/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ja","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u306F\u3053\u306E\u30DA\u30FC\u30B8\u3067\u3001\u6570\u5F0F\u3092\u8868\u793A\u3059\u308B\u305F\u3081\u306B\u30A6\u30A7\u30D6 \u30D9\u30FC\u30B9\u306E\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u30D5\u30A9\u30F3\u30C8\u306E\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u306B\u6642\u9593\u304C\u304B\u304B\u308B\u305F\u3081\u3001\u3042\u306A\u305F\u306E\u30B7\u30B9\u30C6\u30E0\u306E\u30D5\u30A9\u30F3\u30C8 \u30D5\u30A9\u30EB\u30C0\u30FC\u306B\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u3092\u76F4\u63A5\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u30DA\u30FC\u30B8\u306E\u30EC\u30F3\u30C0\u30EA\u30F3\u30B0\u304C\u3088\u308A\u901F\u304F\u306A\u308A\u307E\u3059\u3002", diff --git a/unpacked/localization/ja/HTML-CSS.js b/unpacked/localization/ja/HTML-CSS.js index 2c0acf236b..85d254bf55 100644 --- a/unpacked/localization/ja/HTML-CSS.js +++ b/unpacked/localization/ja/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ja","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D", diff --git a/unpacked/localization/ja/HelpDialog.js b/unpacked/localization/ja/HelpDialog.js index e1d8871dd6..51527620b7 100644 --- a/unpacked/localization/ja/HelpDialog.js +++ b/unpacked/localization/ja/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ja","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax \u30D8\u30EB\u30D7", diff --git a/unpacked/localization/ja/MathML.js b/unpacked/localization/ja/MathML.js index 28b4aeb54b..45574f7844 100644 --- a/unpacked/localization/ja/MathML.js +++ b/unpacked/localization/ja/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ja","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u8AA4\u3063\u305F mglyph: %1", diff --git a/unpacked/localization/ja/MathMenu.js b/unpacked/localization/ja/MathMenu.js index b8fb679c95..a9c5ddb408 100644 --- a/unpacked/localization/ja/MathMenu.js +++ b/unpacked/localization/ja/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ja","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u6570\u5F0F\u3092\u6B21\u306E\u5F62\u5F0F\u3067\u8868\u793A", diff --git a/unpacked/localization/ja/TeX.js b/unpacked/localization/ja/TeX.js index 48be6a961f..c76358b75d 100644 --- a/unpacked/localization/ja/TeX.js +++ b/unpacked/localization/ja/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ja","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059", diff --git a/unpacked/localization/ja/ja.js b/unpacked/localization/ja/ja.js index c154a413fc..85c64005c6 100644 --- a/unpacked/localization/ja/ja.js +++ b/unpacked/localization/ja/ja.js @@ -2,7 +2,7 @@ * * MathJax/localization/ja/ja.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ja",null,{ menuTitle: "\u65E5\u672C\u8A9E", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u306F\u3001\u30E6\u30FC\u30B6\u30FC\u8A2D\u5B9A\u306E Cookie \u3067\u5B9F\u884C\u3059\u3079\u304D\u30B3\u30FC\u30C9\u3092\u691C\u51FA\u3057\u307E\u3057\u305F\u3002\u5B9F\u884C\u3057\u307E\u3059\u304B?\n\n(Cookie \u3092\u81EA\u5206\u3067\u8A2D\u5B9A\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002)", diff --git a/unpacked/localization/kn/FontWarnings.js b/unpacked/localization/kn/FontWarnings.js index 07047a782f..43381ae5b7 100644 --- a/unpacked/localization/kn/FontWarnings.js +++ b/unpacked/localization/kn/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("kn","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAC\u0CB3\u0CB8\u0CBF \u0C87\u0CA6\u0CC6. \u0C88 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CB8\u0CAE\u0CAF \u0CA4\u0CC6\u0C97\u0CC6\u0CA6\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CC0\u0CB5\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C97\u0CA3\u0C95\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAB\u0CCB\u0CB2\u0CCD\u0CA1\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CC7\u0CB0\u0CB5\u0CBE\u0C97\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAA\u0CC1\u0C9F \u0CB5\u0CC7\u0C97\u0CB5\u0CBE\u0C97\u0CBF \u0CA8\u0CBF\u0CB0\u0CC2\u0CAA\u0CBF\u0CB8\u0CB2\u0CC1 \u0C8E\u0C82\u0CA6\u0CC1.", diff --git a/unpacked/localization/kn/HTML-CSS.js b/unpacked/localization/kn/HTML-CSS.js index cddd735330..b6127f0d08 100644 --- a/unpacked/localization/kn/HTML-CSS.js +++ b/unpacked/localization/kn/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("kn","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1", diff --git a/unpacked/localization/kn/HelpDialog.js b/unpacked/localization/kn/HelpDialog.js index 5a3ba41deb..9804acd7ac 100644 --- a/unpacked/localization/kn/HelpDialog.js +++ b/unpacked/localization/kn/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("kn","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6", diff --git a/unpacked/localization/kn/MathML.js b/unpacked/localization/kn/MathML.js index 3552c811ae..972bea1b01 100644 --- a/unpacked/localization/kn/MathML.js +++ b/unpacked/localization/kn/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("kn","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u0C95\u0CC6\u0C9F\u0CCD\u0C9F mglyph: %1", diff --git a/unpacked/localization/kn/MathMenu.js b/unpacked/localization/kn/MathMenu.js index b70ae98700..e9b9e0736d 100644 --- a/unpacked/localization/kn/MathMenu.js +++ b/unpacked/localization/kn/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("kn","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC7\u0C97\u0CC6 \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF?", diff --git a/unpacked/localization/kn/TeX.js b/unpacked/localization/kn/TeX.js index 06a2b2eb45..dab301bb7b 100644 --- a/unpacked/localization/kn/TeX.js +++ b/unpacked/localization/kn/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("kn","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD", diff --git a/unpacked/localization/kn/kn.js b/unpacked/localization/kn/kn.js index 56f935147b..7decc1d535 100644 --- a/unpacked/localization/kn/kn.js +++ b/unpacked/localization/kn/kn.js @@ -2,7 +2,7 @@ * * MathJax/localization/kn/kn.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("kn",null,{ menuTitle: "\u0C95\u0CA8\u0CCD\u0CA8\u0CA1", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CB8\u0CA6\u0CB8\u0CCD\u0CAF \u0C9A\u0CCA\u0CA8\u0CCD\u0CAB\u0CBC\u0CBF\u0C97\u0CC1\u0CB0\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C95\u0CC1\u0C95\u0CC0 \u0CB8\u0CBF\u0C95\u0CCD\u0C95\u0CBF\u0CA6\u0CC6. \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB0\u0CA8\u0CCD \u0CAE\u0CBE\u0CA1\u0CAC\u0CC7\u0C95? \n\n(\u0CA8\u0CC0\u0CB5\u0CC7 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB8\u0CC6\u0C9F\u0CCD \u0C85\u0CAA\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CC1 \u0C85\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC6 \"Cancel\" \u0C85\u0CA5\u0CB5\u0CBE \"\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1\" \u0CB5\u0CA4\u0CCD\u0CA4\u0CBF.)", diff --git a/unpacked/localization/ko/FontWarnings.js b/unpacked/localization/ko/FontWarnings.js index 179c0496a1..1c05ad9edf 100644 --- a/unpacked/localization/ko/FontWarnings.js +++ b/unpacked/localization/ko/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ko","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax\uB294 \uBB38\uC11C\uC758 \uC218\uC2DD\uC744 \uD45C\uD604\uD558\uAE30 \uC704\uD574 \uC6F9 \uAE30\uBC18 \uD3F0\uD2B8\uB97C \uC0AC\uC6A9\uD569\uB2C8\uB2E4. \uB2E4\uC6B4\uB85C\uB4DC\uD558\uB294\uB370 \uC2DC\uAC04\uC774 \uAC78\uB9AC\uC9C0\uB9CC, \uC2DC\uC2A4\uD15C \uD3F0\uD2B8 \uD3F4\uB354\uC5D0 \uC218\uC2DD \uD3F0\uD2B8\uAC00 \uC124\uCE58\uB418\uC5B4 \uC788\uB2E4\uBA74 \uBB38\uC11C\uAC00 \uB354 \uBE68\uB9AC \uD45C\uC2DC\uB420 \uAC83\uC785\uB2C8\uB2E4.", diff --git a/unpacked/localization/ko/HTML-CSS.js b/unpacked/localization/ko/HTML-CSS.js index eb53c85e9d..f702976402 100644 --- a/unpacked/localization/ko/HTML-CSS.js +++ b/unpacked/localization/ko/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ko","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "%1 \uC6F9\uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC624\uACE0 \uC788\uC2B5\uB2C8\uB2E4...", diff --git a/unpacked/localization/ko/HelpDialog.js b/unpacked/localization/ko/HelpDialog.js index c2c0adf7a9..3bfa885abb 100644 --- a/unpacked/localization/ko/HelpDialog.js +++ b/unpacked/localization/ko/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ko","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax \uB3C4\uC6C0\uB9D0", diff --git a/unpacked/localization/ko/MathML.js b/unpacked/localization/ko/MathML.js index fc7fb389dd..4a82fe4a79 100644 --- a/unpacked/localization/ko/MathML.js +++ b/unpacked/localization/ko/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ko","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/ko/MathMenu.js b/unpacked/localization/ko/MathMenu.js index 1a26587557..926dba8da6 100644 --- a/unpacked/localization/ko/MathMenu.js +++ b/unpacked/localization/ko/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ko","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\uC218\uC2DD \uBCF4\uAE30", diff --git a/unpacked/localization/ko/TeX.js b/unpacked/localization/ko/TeX.js index 5585f7d835..310ee06778 100644 --- a/unpacked/localization/ko/TeX.js +++ b/unpacked/localization/ko/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ko","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\uB2EB\uD788\uC9C0 \uC54A\uC740 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC788\uC2B5\uB2C8\uB2E4.", diff --git a/unpacked/localization/ko/ko.js b/unpacked/localization/ko/ko.js index f3456ea4eb..0481f643d3 100644 --- a/unpacked/localization/ko/ko.js +++ b/unpacked/localization/ko/ko.js @@ -2,7 +2,7 @@ * * MathJax/localization/ko/ko.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ko",null,{ menuTitle: "\uD55C\uAD6D\uC5B4", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax\uAC00 \uC2E4\uD589\uD560 \uCF54\uB4DC\uB97C \uD3EC\uD568\uD558\uB294 \uC0AC\uC6A9\uC790-\uC124\uC815 \uCFE0\uD0A4\uB97C \uCC3E\uC558\uC2B5\uB2C8\uB2E4. \uC2E4\uD589\uD558\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uCFE0\uD0A4\uB97C \uC2A4\uC2A4\uB85C \uC124\uC815\uD558\uC9C0 \uC54A\uC73C\uBA74 \uCDE8\uC18C\uB97C \uB20C\uB7EC\uC57C \uD569\uB2C8\uB2E4.)", diff --git a/unpacked/localization/lb/FontWarnings.js b/unpacked/localization/lb/FontWarnings.js index 6109607be2..a39510b4e7 100644 --- a/unpacked/localization/lb/FontWarnings.js +++ b/unpacked/localization/lb/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lb","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/lb/HTML-CSS.js b/unpacked/localization/lb/HTML-CSS.js index d88d5dff84..644ed823c7 100644 --- a/unpacked/localization/lb/HTML-CSS.js +++ b/unpacked/localization/lb/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lb","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/lb/HelpDialog.js b/unpacked/localization/lb/HelpDialog.js index ce86b83c7c..5ebc57d5af 100644 --- a/unpacked/localization/lb/HelpDialog.js +++ b/unpacked/localization/lb/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lb","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/lb/MathML.js b/unpacked/localization/lb/MathML.js index b47efc1ca3..769e77f74f 100644 --- a/unpacked/localization/lb/MathML.js +++ b/unpacked/localization/lb/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lb","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/lb/MathMenu.js b/unpacked/localization/lb/MathMenu.js index 0b39dc238f..4241476ddf 100644 --- a/unpacked/localization/lb/MathMenu.js +++ b/unpacked/localization/lb/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lb","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathMLcode: "MathML Code", diff --git a/unpacked/localization/lb/TeX.js b/unpacked/localization/lb/TeX.js index 3414b561bd..d9626de8b3 100644 --- a/unpacked/localization/lb/TeX.js +++ b/unpacked/localization/lb/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lb","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/lb/lb.js b/unpacked/localization/lb/lb.js index 77aca3ac70..06ae007325 100644 --- a/unpacked/localization/lb/lb.js +++ b/unpacked/localization/lb/lb.js @@ -2,7 +2,7 @@ * * MathJax/localization/lb/lb.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("lb",null,{ menuTitle: "L\u00EBtzebuergesch", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathError: "Math Feeler", diff --git a/unpacked/localization/lki/FontWarnings.js b/unpacked/localization/lki/FontWarnings.js index 85395668e4..548a3e2c41 100644 --- a/unpacked/localization/lki/FontWarnings.js +++ b/unpacked/localization/lki/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lki","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.", diff --git a/unpacked/localization/lki/HTML-CSS.js b/unpacked/localization/lki/HTML-CSS.js index cf8b31be76..c0380f0693 100644 --- a/unpacked/localization/lki/HTML-CSS.js +++ b/unpacked/localization/lki/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lki","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1", diff --git a/unpacked/localization/lki/HelpDialog.js b/unpacked/localization/lki/HelpDialog.js index 34b2d63a57..0f4a169479 100644 --- a/unpacked/localization/lki/HelpDialog.js +++ b/unpacked/localization/lki/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lki","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax", diff --git a/unpacked/localization/lki/MathML.js b/unpacked/localization/lki/MathML.js index 09236ea916..16aad13c5e 100644 --- a/unpacked/localization/lki/MathML.js +++ b/unpacked/localization/lki/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lki","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1", diff --git a/unpacked/localization/lki/MathMenu.js b/unpacked/localization/lki/MathMenu.js index e29852b536..d316c3d585 100644 --- a/unpacked/localization/lki/MathMenu.js +++ b/unpacked/localization/lki/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lki","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646", diff --git a/unpacked/localization/lki/TeX.js b/unpacked/localization/lki/TeX.js index 06e2b4d593..e60eb5a718 100644 --- a/unpacked/localization/lki/TeX.js +++ b/unpacked/localization/lki/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lki","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647", diff --git a/unpacked/localization/lki/lki.js b/unpacked/localization/lki/lki.js index b586ddab05..c5eaf58e42 100644 --- a/unpacked/localization/lki/lki.js +++ b/unpacked/localization/lki/lki.js @@ -2,7 +2,7 @@ * * MathJax/localization/lki/lki.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -20,11 +20,11 @@ MathJax.Localization.addTranslation("lki",null,{ menuTitle: "\u0644\u06D5\u06A9\u06CC", fontDirection: "rtl", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC", diff --git a/unpacked/localization/lt/FontWarnings.js b/unpacked/localization/lt/FontWarnings.js index 8f9e66491b..bf17dc60b9 100644 --- a/unpacked/localization/lt/FontWarnings.js +++ b/unpacked/localization/lt/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lt","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "\u0160iame tinklalapyje matematikos tekst\u0105 \u201EMathJax\u201C rodo tinkle saugomais \u0161riftais, kuriems \u012Fkelti reikia laiko. Teksto rinkim\u0105 galima greitinti, matematikos \u0161riftus \u012Fdiegus naudotojo kompiuteryje.", diff --git a/unpacked/localization/lt/HTML-CSS.js b/unpacked/localization/lt/HTML-CSS.js index 9f7cbb572a..9269cf1e23 100644 --- a/unpacked/localization/lt/HTML-CSS.js +++ b/unpacked/localization/lt/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lt","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u012Ekeliamas tinklo \u0161riftas %1", diff --git a/unpacked/localization/lt/HelpDialog.js b/unpacked/localization/lt/HelpDialog.js index 05ef07946c..31cb677990 100644 --- a/unpacked/localization/lt/HelpDialog.js +++ b/unpacked/localization/lt/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lt","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax Pagalba", diff --git a/unpacked/localization/lt/MathML.js b/unpacked/localization/lt/MathML.js index f226c26b23..f0a9007e44 100644 --- a/unpacked/localization/lt/MathML.js +++ b/unpacked/localization/lt/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lt","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Netinkamas matematikos glifas: %1", diff --git a/unpacked/localization/lt/MathMenu.js b/unpacked/localization/lt/MathMenu.js index 854c8e8dfc..0ed5ffc617 100644 --- a/unpacked/localization/lt/MathMenu.js +++ b/unpacked/localization/lt/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lt","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Rodyti", diff --git a/unpacked/localization/lt/TeX.js b/unpacked/localization/lt/TeX.js index 3c5bb4da16..ec1b9ddabb 100644 --- a/unpacked/localization/lt/TeX.js +++ b/unpacked/localization/lt/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("lt","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Per daug atidarom\u0173j\u0173 arba per ma\u017Eai u\u017Edarom\u0173j\u0173 riestini\u0173 skliausteli\u0173", diff --git a/unpacked/localization/lt/lt.js b/unpacked/localization/lt/lt.js index af7519f10d..20e451cd00 100644 --- a/unpacked/localization/lt/lt.js +++ b/unpacked/localization/lt/lt.js @@ -2,7 +2,7 @@ * * MathJax/localization/lt/lt.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("lt",null,{ menuTitle: "lietuvi\u0173", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Matematikos apdorojimo klaida", diff --git a/unpacked/localization/mk/FontWarnings.js b/unpacked/localization/mk/FontWarnings.js index ec3a24784f..caa5aec70a 100644 --- a/unpacked/localization/mk/FontWarnings.js +++ b/unpacked/localization/mk/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("mk","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.", diff --git a/unpacked/localization/mk/HTML-CSS.js b/unpacked/localization/mk/HTML-CSS.js index 567c04ed19..cdcf139205 100644 --- a/unpacked/localization/mk/HTML-CSS.js +++ b/unpacked/localization/mk/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("mk","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1", diff --git a/unpacked/localization/mk/HelpDialog.js b/unpacked/localization/mk/HelpDialog.js index ea8c960a0d..867b182b14 100644 --- a/unpacked/localization/mk/HelpDialog.js +++ b/unpacked/localization/mk/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("mk","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax", diff --git a/unpacked/localization/mk/MathML.js b/unpacked/localization/mk/MathML.js index 937ab4f014..cbfa3fb998 100644 --- a/unpacked/localization/mk/MathML.js +++ b/unpacked/localization/mk/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("mk","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1", diff --git a/unpacked/localization/mk/MathMenu.js b/unpacked/localization/mk/MathMenu.js index 62ec776f09..0f82d7ab48 100644 --- a/unpacked/localization/mk/MathMenu.js +++ b/unpacked/localization/mk/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("mk","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E", diff --git a/unpacked/localization/mk/TeX.js b/unpacked/localization/mk/TeX.js index 7bb3e5c04c..51db0aacf8 100644 --- a/unpacked/localization/mk/TeX.js +++ b/unpacked/localization/mk/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("mk","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430", diff --git a/unpacked/localization/mk/mk.js b/unpacked/localization/mk/mk.js index 91eea7481c..42a3af6d6c 100644 --- a/unpacked/localization/mk/mk.js +++ b/unpacked/localization/mk/mk.js @@ -2,7 +2,7 @@ * * MathJax/localization/mk/mk.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("mk",null,{ menuTitle: "\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)", diff --git a/unpacked/localization/nl/FontWarnings.js b/unpacked/localization/nl/FontWarnings.js index 67415468f5..098a57365e 100644 --- a/unpacked/localization/nl/FontWarnings.js +++ b/unpacked/localization/nl/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("nl","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.", diff --git a/unpacked/localization/nl/HTML-CSS.js b/unpacked/localization/nl/HTML-CSS.js index 8c6f8d7a83..c57be4ba49 100644 --- a/unpacked/localization/nl/HTML-CSS.js +++ b/unpacked/localization/nl/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("nl","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Weblettertype %1 aan het laden", diff --git a/unpacked/localization/nl/HelpDialog.js b/unpacked/localization/nl/HelpDialog.js index 4951979abe..d87c58b44b 100644 --- a/unpacked/localization/nl/HelpDialog.js +++ b/unpacked/localization/nl/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("nl","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax-hulp", diff --git a/unpacked/localization/nl/MathML.js b/unpacked/localization/nl/MathML.js index 5c2bf8b5c6..d26c95b94f 100644 --- a/unpacked/localization/nl/MathML.js +++ b/unpacked/localization/nl/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("nl","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Onjuiste mglyph: %1", diff --git a/unpacked/localization/nl/MathMenu.js b/unpacked/localization/nl/MathMenu.js index 0fb21d04fe..94683e1212 100644 --- a/unpacked/localization/nl/MathMenu.js +++ b/unpacked/localization/nl/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("nl","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Wiskunde weergeven als", diff --git a/unpacked/localization/nl/TeX.js b/unpacked/localization/nl/TeX.js index 2d7d5640c9..482cb9edf8 100644 --- a/unpacked/localization/nl/TeX.js +++ b/unpacked/localization/nl/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("nl","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Overtollige openende accolade of ontbrekende afsluitende accolade", diff --git a/unpacked/localization/nl/nl.js b/unpacked/localization/nl/nl.js index b30be14472..e9f8c66b10 100644 --- a/unpacked/localization/nl/nl.js +++ b/unpacked/localization/nl/nl.js @@ -2,7 +2,7 @@ * * MathJax/localization/nl/nl.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("nl",null,{ menuTitle: "Nederlands", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)", diff --git a/unpacked/localization/oc/FontWarnings.js b/unpacked/localization/oc/FontWarnings.js index 7188b597a6..3fcf3be802 100644 --- a/unpacked/localization/oc/FontWarnings.js +++ b/unpacked/localization/oc/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("oc","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/oc/HTML-CSS.js b/unpacked/localization/oc/HTML-CSS.js index 36a7b9ec43..a3246c66d5 100644 --- a/unpacked/localization/oc/HTML-CSS.js +++ b/unpacked/localization/oc/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("oc","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/oc/HelpDialog.js b/unpacked/localization/oc/HelpDialog.js index 700242f522..f8bf4dc728 100644 --- a/unpacked/localization/oc/HelpDialog.js +++ b/unpacked/localization/oc/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("oc","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/oc/MathML.js b/unpacked/localization/oc/MathML.js index 076af62213..eb9a32ea4d 100644 --- a/unpacked/localization/oc/MathML.js +++ b/unpacked/localization/oc/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("oc","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/oc/MathMenu.js b/unpacked/localization/oc/MathMenu.js index 6b0c4f2a18..98255961f7 100644 --- a/unpacked/localization/oc/MathMenu.js +++ b/unpacked/localization/oc/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("oc","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Afichar jos la forma", diff --git a/unpacked/localization/oc/TeX.js b/unpacked/localization/oc/TeX.js index 32a2b8a3da..699a04caae 100644 --- a/unpacked/localization/oc/TeX.js +++ b/unpacked/localization/oc/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("oc","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/oc/oc.js b/unpacked/localization/oc/oc.js index 3d64aca364..cbd576aca6 100644 --- a/unpacked/localization/oc/oc.js +++ b/unpacked/localization/oc/oc.js @@ -2,7 +2,7 @@ * * MathJax/localization/oc/oc.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("oc",null,{ menuTitle: "occitan", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Error de tractament de la formula matematica", diff --git a/unpacked/localization/pl/FontWarnings.js b/unpacked/localization/pl/FontWarnings.js index bc2af54175..b302978b45 100644 --- a/unpacked/localization/pl/FontWarnings.js +++ b/unpacked/localization/pl/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pl","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.", diff --git a/unpacked/localization/pl/HTML-CSS.js b/unpacked/localization/pl/HTML-CSS.js index 5aced3558c..8763c38303 100644 --- a/unpacked/localization/pl/HTML-CSS.js +++ b/unpacked/localization/pl/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pl","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0141aduj\u0119 czcionk\u0119 %1", diff --git a/unpacked/localization/pl/HelpDialog.js b/unpacked/localization/pl/HelpDialog.js index 6f6eec8ef7..5b14838a83 100644 --- a/unpacked/localization/pl/HelpDialog.js +++ b/unpacked/localization/pl/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pl","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Pomoc MathJax", diff --git a/unpacked/localization/pl/MathML.js b/unpacked/localization/pl/MathML.js index 81229ce593..09b67d4edf 100644 --- a/unpacked/localization/pl/MathML.js +++ b/unpacked/localization/pl/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pl","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "B\u0142\u0105d w elemencie mglyph: %1", diff --git a/unpacked/localization/pl/MathMenu.js b/unpacked/localization/pl/MathMenu.js index 5ecaaed233..b9ba0eb8b3 100644 --- a/unpacked/localization/pl/MathMenu.js +++ b/unpacked/localization/pl/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pl","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Poka\u017C wzory jako", diff --git a/unpacked/localization/pl/TeX.js b/unpacked/localization/pl/TeX.js index 317427e57e..c79a7f9793 100644 --- a/unpacked/localization/pl/TeX.js +++ b/unpacked/localization/pl/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pl","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy", diff --git a/unpacked/localization/pl/pl.js b/unpacked/localization/pl/pl.js index fc8661d211..4978c17da3 100644 --- a/unpacked/localization/pl/pl.js +++ b/unpacked/localization/pl/pl.js @@ -2,7 +2,7 @@ * * MathJax/localization/pl/pl.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("pl",null,{ menuTitle: "polski", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)", diff --git a/unpacked/localization/pt-br/FontWarnings.js b/unpacked/localization/pt-br/FontWarnings.js index 1d624bf6ad..c12da2be69 100644 --- a/unpacked/localization/pt-br/FontWarnings.js +++ b/unpacked/localization/pt-br/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt-br","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.", diff --git a/unpacked/localization/pt-br/HTML-CSS.js b/unpacked/localization/pt-br/HTML-CSS.js index c6a8f01ca4..886b95c90a 100644 --- a/unpacked/localization/pt-br/HTML-CSS.js +++ b/unpacked/localization/pt-br/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt-br","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Carregando fonte baseada em web %1", diff --git a/unpacked/localization/pt-br/HelpDialog.js b/unpacked/localization/pt-br/HelpDialog.js index 6fcd7a8085..7436b773e5 100644 --- a/unpacked/localization/pt-br/HelpDialog.js +++ b/unpacked/localization/pt-br/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt-br","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Ajuda do MathJax", diff --git a/unpacked/localization/pt-br/MathML.js b/unpacked/localization/pt-br/MathML.js index 9e36d9debd..e87c5ff138 100644 --- a/unpacked/localization/pt-br/MathML.js +++ b/unpacked/localization/pt-br/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt-br","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Mglyph ruim: %1", diff --git a/unpacked/localization/pt-br/MathMenu.js b/unpacked/localization/pt-br/MathMenu.js index c026fbd95d..18fc4838bd 100644 --- a/unpacked/localization/pt-br/MathMenu.js +++ b/unpacked/localization/pt-br/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt-br","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Mostrar F\u00F3rmulas Como", diff --git a/unpacked/localization/pt-br/TeX.js b/unpacked/localization/pt-br/TeX.js index 2839a8f491..05cfbeea77 100644 --- a/unpacked/localization/pt-br/TeX.js +++ b/unpacked/localization/pt-br/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt-br","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Sobrou uma chave de abertura ou faltou uma de fechamento", diff --git a/unpacked/localization/pt-br/pt-br.js b/unpacked/localization/pt-br/pt-br.js index fd029bf42f..6fc921a7d5 100644 --- a/unpacked/localization/pt-br/pt-br.js +++ b/unpacked/localization/pt-br/pt-br.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt-br/pt-br.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("pt-br",null,{ menuTitle: "portugu\u00EAs do Brasil", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)", diff --git a/unpacked/localization/pt/FontWarnings.js b/unpacked/localization/pt/FontWarnings.js index 8a0c1bc63c..f6fd508954 100644 --- a/unpacked/localization/pt/FontWarnings.js +++ b/unpacked/localization/pt/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "O MathJax est\u00E1 a utilizar fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. A sua descarga leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se instalasse as fontes para matem\u00E1tica diretamente no diret\u00F3rio de fontes do seu sistema.", diff --git a/unpacked/localization/pt/HTML-CSS.js b/unpacked/localization/pt/HTML-CSS.js index 7cf8a6a074..9b1aec172a 100644 --- a/unpacked/localization/pt/HTML-CSS.js +++ b/unpacked/localization/pt/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "A carregar fonte baseada em web %1", diff --git a/unpacked/localization/pt/HelpDialog.js b/unpacked/localization/pt/HelpDialog.js index 10fdc48c7d..cd701d5ed6 100644 --- a/unpacked/localization/pt/HelpDialog.js +++ b/unpacked/localization/pt/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Ajuda do MathJax", diff --git a/unpacked/localization/pt/MathML.js b/unpacked/localization/pt/MathML.js index 96b2c71a17..190faffcc4 100644 --- a/unpacked/localization/pt/MathML.js +++ b/unpacked/localization/pt/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Mglyph ruim: %1", diff --git a/unpacked/localization/pt/MathMenu.js b/unpacked/localization/pt/MathMenu.js index 8b22c7aaa5..f334bcec57 100644 --- a/unpacked/localization/pt/MathMenu.js +++ b/unpacked/localization/pt/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Mostrar f\u00F3rmulas como", diff --git a/unpacked/localization/pt/TeX.js b/unpacked/localization/pt/TeX.js index a5943cf5f6..7caa1991ae 100644 --- a/unpacked/localization/pt/TeX.js +++ b/unpacked/localization/pt/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("pt","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Chaveta de abertura a mais ou chaveta de fecho a menos", diff --git a/unpacked/localization/pt/pt.js b/unpacked/localization/pt/pt.js index d3cc769d93..a7add691f2 100644 --- a/unpacked/localization/pt/pt.js +++ b/unpacked/localization/pt/pt.js @@ -2,7 +2,7 @@ * * MathJax/localization/pt/pt.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("pt",null,{ menuTitle: "portugu\u00EAs", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Erro no processamento das f\u00F3rmulas", diff --git a/unpacked/localization/qqq/FontWarnings.js b/unpacked/localization/qqq/FontWarnings.js index 342a665d79..d0f00f5eed 100644 --- a/unpacked/localization/qqq/FontWarnings.js +++ b/unpacked/localization/qqq/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("qqq","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "This warning is displayed by the FontWarnings extension when web-based fonts are used.", diff --git a/unpacked/localization/qqq/HTML-CSS.js b/unpacked/localization/qqq/HTML-CSS.js index ad08fcbc05..57cc4e982e 100644 --- a/unpacked/localization/qqq/HTML-CSS.js +++ b/unpacked/localization/qqq/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("qqq","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name", diff --git a/unpacked/localization/qqq/HelpDialog.js b/unpacked/localization/qqq/HelpDialog.js index 6131811ed3..592770859f 100644 --- a/unpacked/localization/qqq/HelpDialog.js +++ b/unpacked/localization/qqq/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("qqq","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "This is the title displayed at the top of the MathJax Help dialog.", diff --git a/unpacked/localization/qqq/MathML.js b/unpacked/localization/qqq/MathML.js index 714eb430b7..130f76a447 100644 --- a/unpacked/localization/qqq/MathML.js +++ b/unpacked/localization/qqq/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("qqq","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute", diff --git a/unpacked/localization/qqq/MathMenu.js b/unpacked/localization/qqq/MathMenu.js index 7824d25660..300163ce2b 100644 --- a/unpacked/localization/qqq/MathMenu.js +++ b/unpacked/localization/qqq/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("qqq","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label", diff --git a/unpacked/localization/qqq/TeX.js b/unpacked/localization/qqq/TeX.js index 7556d32abc..c043f4e53c 100644 --- a/unpacked/localization/qqq/TeX.js +++ b/unpacked/localization/qqq/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("qqq","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}", diff --git a/unpacked/localization/qqq/qqq.js b/unpacked/localization/qqq/qqq.js index 21ed79f3c6..8e3d1104cf 100644 --- a/unpacked/localization/qqq/qqq.js +++ b/unpacked/localization/qqq/qqq.js @@ -2,7 +2,7 @@ * * MathJax/localization/qqq/qqq.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("qqq",null,{ menuTitle: "Message Documentation", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.", diff --git a/unpacked/localization/ru/FontWarnings.js b/unpacked/localization/ru/FontWarnings.js index a9a0b1f845..af2d30395a 100644 --- a/unpacked/localization/ru/FontWarnings.js +++ b/unpacked/localization/ru/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ru","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.", diff --git a/unpacked/localization/ru/HTML-CSS.js b/unpacked/localization/ru/HTML-CSS.js index d160499450..1399a1a012 100644 --- a/unpacked/localization/ru/HTML-CSS.js +++ b/unpacked/localization/ru/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ru","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1", diff --git a/unpacked/localization/ru/HelpDialog.js b/unpacked/localization/ru/HelpDialog.js index c3c8459f6b..2b68beff22 100644 --- a/unpacked/localization/ru/HelpDialog.js +++ b/unpacked/localization/ru/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ru","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax", diff --git a/unpacked/localization/ru/MathML.js b/unpacked/localization/ru/MathML.js index c0e184ee2a..2bba7e1e96 100644 --- a/unpacked/localization/ru/MathML.js +++ b/unpacked/localization/ru/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ru","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1", diff --git a/unpacked/localization/ru/MathMenu.js b/unpacked/localization/ru/MathMenu.js index a306352adb..1a82b08e91 100644 --- a/unpacked/localization/ru/MathMenu.js +++ b/unpacked/localization/ru/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ru","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:", diff --git a/unpacked/localization/ru/TeX.js b/unpacked/localization/ru/TeX.js index d8e50ccc67..91f6c1e770 100644 --- a/unpacked/localization/ru/TeX.js +++ b/unpacked/localization/ru/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("ru","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430", diff --git a/unpacked/localization/ru/ru.js b/unpacked/localization/ru/ru.js index b30c829ad5..e3e8f441f8 100644 --- a/unpacked/localization/ru/ru.js +++ b/unpacked/localization/ru/ru.js @@ -2,7 +2,7 @@ * * MathJax/localization/ru/ru.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("ru",null,{ menuTitle: "\u0440\u0443\u0441\u0441\u043A\u0438\u0439", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).", diff --git a/unpacked/localization/scn/FontWarnings.js b/unpacked/localization/scn/FontWarnings.js index 6061f211ac..d0086426a5 100644 --- a/unpacked/localization/scn/FontWarnings.js +++ b/unpacked/localization/scn/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("scn","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax sta adupirannu tipi di car\u00E0ttiri scarricati di Internet p'ammmustrari la matim\u00E0tica nta sta p\u00E0ggina. Scarricari sti tipi si pigghia tempu, dunca sta p\u00E0ggina si purr\u00ECa mpagginari cchi\u00F9 viloci si li tipi di car\u00E0ttiri p\u00E2 matim\u00E0tica f\u00F9ssiru istallati direttamenti nt\u00E2 cartella d\u00EE car\u00E0ttiri d\u00FB t\u00F2 sistema.", diff --git a/unpacked/localization/scn/HTML-CSS.js b/unpacked/localization/scn/HTML-CSS.js index c261e66cf3..e953c70514 100644 --- a/unpacked/localization/scn/HTML-CSS.js +++ b/unpacked/localization/scn/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("scn","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Scarricamentu d\u00FB tipu di car\u00E0ttiri web %1", diff --git a/unpacked/localization/scn/HelpDialog.js b/unpacked/localization/scn/HelpDialog.js index 87af24ff6d..32ab2252bc 100644 --- a/unpacked/localization/scn/HelpDialog.js +++ b/unpacked/localization/scn/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("scn","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Guida di MathJax", diff --git a/unpacked/localization/scn/MathML.js b/unpacked/localization/scn/MathML.js index e4599e0570..7c66d435a4 100644 --- a/unpacked/localization/scn/MathML.js +++ b/unpacked/localization/scn/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("scn","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph sbagghiatu: %1", diff --git a/unpacked/localization/scn/MathMenu.js b/unpacked/localization/scn/MathMenu.js index 6c97c9a257..33341fab1d 100644 --- a/unpacked/localization/scn/MathMenu.js +++ b/unpacked/localization/scn/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("scn","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Ammustra la f\u00F2rmula sutta forma di", diff --git a/unpacked/localization/scn/TeX.js b/unpacked/localization/scn/TeX.js index bff12c2833..12f45ea4e0 100644 --- a/unpacked/localization/scn/TeX.js +++ b/unpacked/localization/scn/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("scn","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Par\u00E8ntisi graffa graputa suverchia o par\u00E8ntisi graffa chiusa ammancanti", diff --git a/unpacked/localization/scn/scn.js b/unpacked/localization/scn/scn.js index 6368075115..203e9337de 100644 --- a/unpacked/localization/scn/scn.js +++ b/unpacked/localization/scn/scn.js @@ -2,7 +2,7 @@ * * MathJax/localization/scn/scn.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("scn",null,{ menuTitle: "sicilianu", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Erruri nt\u00E2 labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi", diff --git a/unpacked/localization/sco/FontWarnings.js b/unpacked/localization/sco/FontWarnings.js index 38d18916ff..956a23b60a 100644 --- a/unpacked/localization/sco/FontWarnings.js +++ b/unpacked/localization/sco/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sco","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax is uisin wab-based fonts tae displey the mathematics oan this page. Thir tak time tae doonlaid, sae the page wid render faster gif ye installed maths fonts directlie in yer system's font fauder.", diff --git a/unpacked/localization/sco/HTML-CSS.js b/unpacked/localization/sco/HTML-CSS.js index 6b13e18e87..6ee1e99054 100644 --- a/unpacked/localization/sco/HTML-CSS.js +++ b/unpacked/localization/sco/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sco","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Laidin wab font %1", diff --git a/unpacked/localization/sco/HelpDialog.js b/unpacked/localization/sco/HelpDialog.js index 0780e4ff28..5e82955de4 100644 --- a/unpacked/localization/sco/HelpDialog.js +++ b/unpacked/localization/sco/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sco","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax Heelp", diff --git a/unpacked/localization/sco/MathML.js b/unpacked/localization/sco/MathML.js index d85e8ea292..b7ce432258 100644 --- a/unpacked/localization/sco/MathML.js +++ b/unpacked/localization/sco/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sco","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Bad mglyph: %1", diff --git a/unpacked/localization/sco/MathMenu.js b/unpacked/localization/sco/MathMenu.js index e79d999241..15a6b4d858 100644 --- a/unpacked/localization/sco/MathMenu.js +++ b/unpacked/localization/sco/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sco","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Shaw maths aes", diff --git a/unpacked/localization/sco/TeX.js b/unpacked/localization/sco/TeX.js index 0fdd6ed9af..29aeec4acd 100644 --- a/unpacked/localization/sco/TeX.js +++ b/unpacked/localization/sco/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sco","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Eixtra apen brace or missin claise bracket", diff --git a/unpacked/localization/sco/sco.js b/unpacked/localization/sco/sco.js index d7b2b69bab..45e24b4623 100644 --- a/unpacked/localization/sco/sco.js +++ b/unpacked/localization/sco/sco.js @@ -2,7 +2,7 @@ * * MathJax/localization/sco/sco.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("sco",null,{ menuTitle: "scots", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Maths processin mistak", diff --git a/unpacked/localization/sk/FontWarnings.js b/unpacked/localization/sk/FontWarnings.js index 9565bf29ad..7e5b89f8ed 100644 --- a/unpacked/localization/sk/FontWarnings.js +++ b/unpacked/localization/sk/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sk","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax pou\u017E\u00EDva k zobrazeniu matematiky na tejto str\u00E1nke webov\u00E9 p\u00EDsma. T\u00FDm trv\u00E1 stiahnutie nejak\u00FA dobu, tak\u017Ee str\u00E1nka by sa vykreslila r\u00FDchlej\u0161ie, ak by ste si tieto matematick\u00E9 p\u00EDsma nain\u0161talovali priamo do syst\u00E9movej zlo\u017Eky p\u00EDsiem.", diff --git a/unpacked/localization/sk/HTML-CSS.js b/unpacked/localization/sk/HTML-CSS.js index d71bae50f1..9c9c09229c 100644 --- a/unpacked/localization/sk/HTML-CSS.js +++ b/unpacked/localization/sk/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sk","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Na\u010D\u00EDtava sa webov\u00FD font %1", diff --git a/unpacked/localization/sk/HelpDialog.js b/unpacked/localization/sk/HelpDialog.js index 380c1943bb..7020daf7c8 100644 --- a/unpacked/localization/sk/HelpDialog.js +++ b/unpacked/localization/sk/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sk","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Pomoc k MathJaxu", diff --git a/unpacked/localization/sk/MathML.js b/unpacked/localization/sk/MathML.js index 491ea18522..b1176a88f6 100644 --- a/unpacked/localization/sk/MathML.js +++ b/unpacked/localization/sk/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sk","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Chybn\u00FD mglyph: %1", diff --git a/unpacked/localization/sk/MathMenu.js b/unpacked/localization/sk/MathMenu.js index 9c37ad698e..cec5e14453 100644 --- a/unpacked/localization/sk/MathMenu.js +++ b/unpacked/localization/sk/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sk","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Zobrazi\u0165 matematiku ako", diff --git a/unpacked/localization/sk/TeX.js b/unpacked/localization/sk/TeX.js index ff84ac851e..65f63e20b1 100644 --- a/unpacked/localization/sk/TeX.js +++ b/unpacked/localization/sk/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sk","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Prebyto\u010Dn\u00E1 otv\u00E1raj\u00FAca alebo uzavieracia z\u00E1tvorka", diff --git a/unpacked/localization/sk/sk.js b/unpacked/localization/sk/sk.js index 49219045d3..df92e93372 100644 --- a/unpacked/localization/sk/sk.js +++ b/unpacked/localization/sk/sk.js @@ -2,7 +2,7 @@ * * MathJax/localization/sk/sk.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("sk",null,{ menuTitle: "sloven\u010Dina", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Chyba spracovania matematiky", diff --git a/unpacked/localization/sl/FontWarnings.js b/unpacked/localization/sl/FontWarnings.js index cf81c12581..9f531882af 100644 --- a/unpacked/localization/sl/FontWarnings.js +++ b/unpacked/localization/sl/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sl","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.", diff --git a/unpacked/localization/sl/HTML-CSS.js b/unpacked/localization/sl/HTML-CSS.js index b897330aff..f9db90f87e 100644 --- a/unpacked/localization/sl/HTML-CSS.js +++ b/unpacked/localization/sl/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sl","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "Nalagam spletni font %1", diff --git a/unpacked/localization/sl/HelpDialog.js b/unpacked/localization/sl/HelpDialog.js index 87ffa4ff3c..7e02048bb2 100644 --- a/unpacked/localization/sl/HelpDialog.js +++ b/unpacked/localization/sl/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sl","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Pomo\u010D za MathJax", diff --git a/unpacked/localization/sl/MathML.js b/unpacked/localization/sl/MathML.js index 057e5d66eb..241d7c73c3 100644 --- a/unpacked/localization/sl/MathML.js +++ b/unpacked/localization/sl/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sl","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "Neveljaven mglyph: %1", diff --git a/unpacked/localization/sl/MathMenu.js b/unpacked/localization/sl/MathMenu.js index 4283daf839..379741310d 100644 --- a/unpacked/localization/sl/MathMenu.js +++ b/unpacked/localization/sl/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sl","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Prika\u017Ei matematiko kot", diff --git a/unpacked/localization/sl/TeX.js b/unpacked/localization/sl/TeX.js index 1ee6a51432..93d3bdf915 100644 --- a/unpacked/localization/sl/TeX.js +++ b/unpacked/localization/sl/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sl","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Dodaten uklepaj ali manjkajo\u010D zaklepaj", diff --git a/unpacked/localization/sl/sl.js b/unpacked/localization/sl/sl.js index 2dd89f08e2..8e97fa9401 100644 --- a/unpacked/localization/sl/sl.js +++ b/unpacked/localization/sl/sl.js @@ -2,7 +2,7 @@ * * MathJax/localization/sl/sl.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("sl",null,{ menuTitle: "sloven\u0161\u010Dina", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)", diff --git a/unpacked/localization/sv/FontWarnings.js b/unpacked/localization/sv/FontWarnings.js index 518698895c..532471f8ee 100644 --- a/unpacked/localization/sv/FontWarnings.js +++ b/unpacked/localization/sv/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sv","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax anv\u00E4nder webb-baserade teckensnitt f\u00F6r att visa matematik p\u00E5 denna sida. Dessa tar tid att ladda ner, sidan skulle g\u00F6ra snabbare om du installerar matematik-typsnitt direkt i systemets teckensnittsmapp.", diff --git a/unpacked/localization/sv/HTML-CSS.js b/unpacked/localization/sv/HTML-CSS.js index 179ab6cad3..ffac731fdd 100644 --- a/unpacked/localization/sv/HTML-CSS.js +++ b/unpacked/localization/sv/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sv","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "L\u00E4ser in webbtypsnittet %1", diff --git a/unpacked/localization/sv/HelpDialog.js b/unpacked/localization/sv/HelpDialog.js index 7c133f521a..a7c154dd7a 100644 --- a/unpacked/localization/sv/HelpDialog.js +++ b/unpacked/localization/sv/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sv","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax-hj\u00E4lp", diff --git a/unpacked/localization/sv/MathML.js b/unpacked/localization/sv/MathML.js index 11cbfc5dcb..27b5b5a11d 100644 --- a/unpacked/localization/sv/MathML.js +++ b/unpacked/localization/sv/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sv","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "D\u00E5lig mglyph: %1", diff --git a/unpacked/localization/sv/MathMenu.js b/unpacked/localization/sv/MathMenu.js index 6d5564fd8b..83a8be36bc 100644 --- a/unpacked/localization/sv/MathMenu.js +++ b/unpacked/localization/sv/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sv","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathMLcode: "MathML-kod", diff --git a/unpacked/localization/sv/TeX.js b/unpacked/localization/sv/TeX.js index 7e7419a41b..a670bac071 100644 --- a/unpacked/localization/sv/TeX.js +++ b/unpacked/localization/sv/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("sv","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "Extra v\u00E4nsterklammerparentes eller h\u00F6gerklammerparentes saknas", diff --git a/unpacked/localization/sv/sv.js b/unpacked/localization/sv/sv.js index b1deafccbe..c25bd21cf6 100644 --- a/unpacked/localization/sv/sv.js +++ b/unpacked/localization/sv/sv.js @@ -2,7 +2,7 @@ * * MathJax/localization/sv/sv.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("sv",null,{ menuTitle: "svenska", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)", diff --git a/unpacked/localization/th/FontWarnings.js b/unpacked/localization/th/FontWarnings.js index b2c4780bd0..439215f9c1 100644 --- a/unpacked/localization/th/FontWarnings.js +++ b/unpacked/localization/th/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("th","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E40\u0E27\u0E25\u0E32\u0E1A\u0E49\u0E32\u0E07\u0E43\u0E19\u0E01\u0E32\u0E23\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14 \u0E2B\u0E32\u0E01\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E42\u0E2B\u0E25\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E43\u0E2B\u0E49\u0E40\u0E23\u0E47\u0E27 \u0E04\u0E27\u0E23\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19", diff --git a/unpacked/localization/th/HTML-CSS.js b/unpacked/localization/th/HTML-CSS.js index f2a74104ea..fdb763bd8a 100644 --- a/unpacked/localization/th/HTML-CSS.js +++ b/unpacked/localization/th/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("th","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1", diff --git a/unpacked/localization/th/HelpDialog.js b/unpacked/localization/th/HelpDialog.js index 42d25e372e..e7117496df 100644 --- a/unpacked/localization/th/HelpDialog.js +++ b/unpacked/localization/th/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("th","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax", diff --git a/unpacked/localization/th/MathML.js b/unpacked/localization/th/MathML.js index 85ae2a744d..d191f04cea 100644 --- a/unpacked/localization/th/MathML.js +++ b/unpacked/localization/th/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("th","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1", diff --git a/unpacked/localization/th/MathMenu.js b/unpacked/localization/th/MathMenu.js index af73994376..bd699c955d 100644 --- a/unpacked/localization/th/MathMenu.js +++ b/unpacked/localization/th/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("th","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B", diff --git a/unpacked/localization/th/TeX.js b/unpacked/localization/th/TeX.js index 28e9c04afc..498042e005 100644 --- a/unpacked/localization/th/TeX.js +++ b/unpacked/localization/th/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("th","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14", diff --git a/unpacked/localization/th/th.js b/unpacked/localization/th/th.js index 60772ff5bc..e3a456566e 100644 --- a/unpacked/localization/th/th.js +++ b/unpacked/localization/th/th.js @@ -2,7 +2,7 @@ * * MathJax/localization/th/th.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("th",null,{ menuTitle: "\u0E44\u0E17\u0E22", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14", diff --git a/unpacked/localization/tr/FontWarnings.js b/unpacked/localization/tr/FontWarnings.js index 2f80b50342..1efdc6e196 100644 --- a/unpacked/localization/tr/FontWarnings.js +++ b/unpacked/localization/tr/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("tr","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/tr/HTML-CSS.js b/unpacked/localization/tr/HTML-CSS.js index 5d9b1afa02..3ead8e05fa 100644 --- a/unpacked/localization/tr/HTML-CSS.js +++ b/unpacked/localization/tr/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("tr","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/tr/HelpDialog.js b/unpacked/localization/tr/HelpDialog.js index 6a1a75fafe..49e93979f1 100644 --- a/unpacked/localization/tr/HelpDialog.js +++ b/unpacked/localization/tr/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("tr","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/tr/MathML.js b/unpacked/localization/tr/MathML.js index ee214517ff..f2d895f1ee 100644 --- a/unpacked/localization/tr/MathML.js +++ b/unpacked/localization/tr/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("tr","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/tr/MathMenu.js b/unpacked/localization/tr/MathMenu.js index dd52d1164c..0fbf746c7c 100644 --- a/unpacked/localization/tr/MathMenu.js +++ b/unpacked/localization/tr/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("tr","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/tr/TeX.js b/unpacked/localization/tr/TeX.js index b119783681..4fea385eb4 100644 --- a/unpacked/localization/tr/TeX.js +++ b/unpacked/localization/tr/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("tr","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { diff --git a/unpacked/localization/tr/tr.js b/unpacked/localization/tr/tr.js index ff5c4ba109..1907a41dfc 100644 --- a/unpacked/localization/tr/tr.js +++ b/unpacked/localization/tr/tr.js @@ -2,7 +2,7 @@ * * MathJax/localization/tr/tr.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("tr",null,{ menuTitle: "T\u00FCrk\u00E7e", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "Matematik i\u015Fleme hatas\u0131", diff --git a/unpacked/localization/uk/FontWarnings.js b/unpacked/localization/uk/FontWarnings.js index 19416c55f3..a508775679 100644 --- a/unpacked/localization/uk/FontWarnings.js +++ b/unpacked/localization/uk/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("uk","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456. \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.", diff --git a/unpacked/localization/uk/HTML-CSS.js b/unpacked/localization/uk/HTML-CSS.js index 572b8a9522..767b8469eb 100644 --- a/unpacked/localization/uk/HTML-CSS.js +++ b/unpacked/localization/uk/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("uk","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1", diff --git a/unpacked/localization/uk/HelpDialog.js b/unpacked/localization/uk/HelpDialog.js index 5041c2f9fd..c50ef3098f 100644 --- a/unpacked/localization/uk/HelpDialog.js +++ b/unpacked/localization/uk/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("uk","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430", diff --git a/unpacked/localization/uk/MathML.js b/unpacked/localization/uk/MathML.js index 172a3ae805..88f458e883 100644 --- a/unpacked/localization/uk/MathML.js +++ b/unpacked/localization/uk/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("uk","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1", diff --git a/unpacked/localization/uk/MathMenu.js b/unpacked/localization/uk/MathMenu.js index 5d37fe9e54..ac98235e7f 100644 --- a/unpacked/localization/uk/MathMenu.js +++ b/unpacked/localization/uk/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("uk","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A", diff --git a/unpacked/localization/uk/TeX.js b/unpacked/localization/uk/TeX.js index 47310bae10..08a12089e0 100644 --- a/unpacked/localization/uk/TeX.js +++ b/unpacked/localization/uk/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("uk","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430", diff --git a/unpacked/localization/uk/uk.js b/unpacked/localization/uk/uk.js index f8fbec44a0..0c7464ca73 100644 --- a/unpacked/localization/uk/uk.js +++ b/unpacked/localization/uk/uk.js @@ -2,7 +2,7 @@ * * MathJax/localization/uk/uk.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("uk",null,{ menuTitle: "\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 \"\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438\", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)", diff --git a/unpacked/localization/vi/FontWarnings.js b/unpacked/localization/vi/FontWarnings.js index 33f56f54f0..29ab532a3f 100644 --- a/unpacked/localization/vi/FontWarnings.js +++ b/unpacked/localization/vi/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("vi","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.", diff --git a/unpacked/localization/vi/HTML-CSS.js b/unpacked/localization/vi/HTML-CSS.js index 59c0fca6a6..625f2b3fc9 100644 --- a/unpacked/localization/vi/HTML-CSS.js +++ b/unpacked/localization/vi/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("vi","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1", diff --git a/unpacked/localization/vi/HelpDialog.js b/unpacked/localization/vi/HelpDialog.js index a09e335a0b..51dc25e230 100644 --- a/unpacked/localization/vi/HelpDialog.js +++ b/unpacked/localization/vi/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("vi","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "Tr\u1EE3 gi\u00FAp MathJax", diff --git a/unpacked/localization/vi/MathML.js b/unpacked/localization/vi/MathML.js index 01c25e0534..abf4ad8081 100644 --- a/unpacked/localization/vi/MathML.js +++ b/unpacked/localization/vi/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("vi","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "mglyph h\u1ECFng: %1", diff --git a/unpacked/localization/vi/MathMenu.js b/unpacked/localization/vi/MathMenu.js index b2c84457c7..44b202f702 100644 --- a/unpacked/localization/vi/MathMenu.js +++ b/unpacked/localization/vi/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("vi","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng", diff --git a/unpacked/localization/vi/TeX.js b/unpacked/localization/vi/TeX.js index 2e389496e6..8d3f1760d8 100644 --- a/unpacked/localization/vi/TeX.js +++ b/unpacked/localization/vi/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("vi","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu", diff --git a/unpacked/localization/vi/vi.js b/unpacked/localization/vi/vi.js index a73b9e796d..c9f1beb3e6 100644 --- a/unpacked/localization/vi/vi.js +++ b/unpacked/localization/vi/vi.js @@ -2,7 +2,7 @@ * * MathJax/localization/vi/vi.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("vi",null,{ menuTitle: "Ti\u1EBFng Vi\u1EC7t", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)", diff --git a/unpacked/localization/zh-hans/FontWarnings.js b/unpacked/localization/zh-hans/FontWarnings.js index dcf692bab2..15d1f5d860 100644 --- a/unpacked/localization/zh-hans/FontWarnings.js +++ b/unpacked/localization/zh-hans/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hans","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002", diff --git a/unpacked/localization/zh-hans/HTML-CSS.js b/unpacked/localization/zh-hans/HTML-CSS.js index 9f10f5da64..89a0bc6122 100644 --- a/unpacked/localization/zh-hans/HTML-CSS.js +++ b/unpacked/localization/zh-hans/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u52A0\u8F7Dweb\u5B57\u4F53%1", diff --git a/unpacked/localization/zh-hans/HelpDialog.js b/unpacked/localization/zh-hans/HelpDialog.js index 2528541052..ca0bd56693 100644 --- a/unpacked/localization/zh-hans/HelpDialog.js +++ b/unpacked/localization/zh-hans/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hans","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax\u5E2E\u52A9", diff --git a/unpacked/localization/zh-hans/MathML.js b/unpacked/localization/zh-hans/MathML.js index d463da7676..b27aa34d7a 100644 --- a/unpacked/localization/zh-hans/MathML.js +++ b/unpacked/localization/zh-hans/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hans","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1", diff --git a/unpacked/localization/zh-hans/MathMenu.js b/unpacked/localization/zh-hans/MathMenu.js index 98d437f57f..1c36f88303 100644 --- a/unpacked/localization/zh-hans/MathMenu.js +++ b/unpacked/localization/zh-hans/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hans","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u6570\u5F0F\u663E\u793A\u5F62\u5F0F", diff --git a/unpacked/localization/zh-hans/TeX.js b/unpacked/localization/zh-hans/TeX.js index 0b5b3d5221..c6b1530bb5 100644 --- a/unpacked/localization/zh-hans/TeX.js +++ b/unpacked/localization/zh-hans/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hans","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7", diff --git a/unpacked/localization/zh-hans/zh-hans.js b/unpacked/localization/zh-hans/zh-hans.js index b28193d0e6..b252e09c1c 100644 --- a/unpacked/localization/zh-hans/zh-hans.js +++ b/unpacked/localization/zh-hans/zh-hans.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hans/zh-hans.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("zh-hans",null,{ menuTitle: "\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { CookieConfig: "MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09", diff --git a/unpacked/localization/zh-hant/FontWarnings.js b/unpacked/localization/zh-hant/FontWarnings.js index e1d982c1c3..1bc1bb129c 100644 --- a/unpacked/localization/zh-hant/FontWarnings.js +++ b/unpacked/localization/zh-hant/FontWarnings.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/FontWarnings.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hant","FontWarnings",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { webFont: "MathJax\u662F\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u4F86\u986F\u793A\u9801\u9762\u4E0A\u7684\u6578\u5B78\u76F8\u95DC\u5167\u5BB9\u3002\u56E0\u6B64\u6703\u82B1\u8CBB\u4E00\u4E9B\u6642\u9593\u4E0B\u8F09\u5B57\u578B\uFF0C\u82E5\u60F3\u8B93\u9801\u9762\u80FD\u8F03\u5FEB\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u60A8\u53EF\u4EE5\u5C07\u6240\u4F7F\u7528\u5230\u7684\u6578\u5B78\u5B57\u578B\u4E0B\u8F09\u5B89\u88DD\u5230\u60A8\u96FB\u8166\u672C\u6A5F\u88E1\u7684\u7CFB\u7D71\u5B57\u578B\u8CC7\u6599\u593E\u3002", diff --git a/unpacked/localization/zh-hant/HTML-CSS.js b/unpacked/localization/zh-hant/HTML-CSS.js index 4d6b157610..21fa7744b7 100644 --- a/unpacked/localization/zh-hant/HTML-CSS.js +++ b/unpacked/localization/zh-hant/HTML-CSS.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/HTML-CSS.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hant","HTML-CSS",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { LoadWebFont: "\u7DB2\u9801\u5B57\u578B%1\u8F09\u5165\u4E2D", diff --git a/unpacked/localization/zh-hant/HelpDialog.js b/unpacked/localization/zh-hant/HelpDialog.js index cf291662e0..023c19f17a 100644 --- a/unpacked/localization/zh-hant/HelpDialog.js +++ b/unpacked/localization/zh-hant/HelpDialog.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/HelpDialog.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hant","HelpDialog",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Help: "MathJax \u8AAA\u660E", diff --git a/unpacked/localization/zh-hant/MathML.js b/unpacked/localization/zh-hant/MathML.js index a0b463b52b..813659cd86 100644 --- a/unpacked/localization/zh-hant/MathML.js +++ b/unpacked/localization/zh-hant/MathML.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/MathML.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hant","MathML",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { BadMglyph: "\u4E0D\u6B63\u78BA\u7684mglyph\uFF1A%1", diff --git a/unpacked/localization/zh-hant/MathMenu.js b/unpacked/localization/zh-hant/MathMenu.js index 28699cf8d2..ca201a1c8e 100644 --- a/unpacked/localization/zh-hant/MathMenu.js +++ b/unpacked/localization/zh-hant/MathMenu.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/MathMenu.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hant","MathMenu",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { Show: "\u986F\u793A\u6578\u5B78\u5F62\u5F0F", diff --git a/unpacked/localization/zh-hant/TeX.js b/unpacked/localization/zh-hant/TeX.js index 857d75645c..4c95583f60 100644 --- a/unpacked/localization/zh-hant/TeX.js +++ b/unpacked/localization/zh-hant/TeX.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/TeX.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -18,7 +18,7 @@ * */ MathJax.Localization.addTranslation("zh-hant","TeX",{ - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { ExtraOpenMissingClose: "\u591A\u9918\u7684\u5DE6\u62EC\u5F27\u6216\u7F3A\u5C11\u53F3\u62EC\u5F27", diff --git a/unpacked/localization/zh-hant/zh-hant.js b/unpacked/localization/zh-hant/zh-hant.js index b87e6c445f..5dc1e6af01 100644 --- a/unpacked/localization/zh-hant/zh-hant.js +++ b/unpacked/localization/zh-hant/zh-hant.js @@ -2,7 +2,7 @@ * * MathJax/localization/zh-hant/zh-hant.js * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -19,11 +19,11 @@ */ MathJax.Localization.addTranslation("zh-hant",null,{ menuTitle: "\u6C49\u8BED", - version: "2.7.5", + version: "2.7.6", isLoaded: true, domains: { "_": { - version: "2.7.5", + version: "2.7.6", isLoaded: true, strings: { MathProcessingError: "\u6578\u5B78\u8655\u7406\u932F\u8AA4", From 82083b37b7cf184cf80e2fca12f612704df92b08 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Wed, 21 Aug 2019 13:11:46 -0400 Subject: [PATCH 5/5] Repack and recombine for 2.7.6 --- MathJax.js | 2 +- config/AM_CHTML-full.js | 24 +++++------ config/AM_CHTML.js | 22 +++++----- config/AM_HTMLorMML-full.js | 26 ++++++------ config/AM_HTMLorMML.js | 24 +++++------ config/AM_SVG-full.js | 24 +++++------ config/AM_SVG.js | 22 +++++----- config/Accessible-full.js | 38 ++++++++--------- config/Accessible.js | 36 ++++++++-------- config/MML_CHTML-full.js | 24 +++++------ config/MML_CHTML.js | 22 +++++----- config/MML_HTMLorMML-full.js | 26 ++++++------ config/MML_HTMLorMML.js | 24 +++++------ config/MML_SVG-full.js | 24 +++++------ config/MML_SVG.js | 22 +++++----- config/TeX-AMS-MML_HTMLorMML-full.js | 38 ++++++++--------- config/TeX-AMS-MML_HTMLorMML.js | 36 ++++++++-------- config/TeX-AMS-MML_SVG-full.js | 36 ++++++++-------- config/TeX-AMS-MML_SVG.js | 34 +++++++-------- config/TeX-AMS_CHTML-full.js | 32 +++++++------- config/TeX-AMS_CHTML.js | 30 ++++++------- config/TeX-AMS_HTML-full.js | 32 +++++++------- config/TeX-AMS_HTML.js | 30 ++++++------- config/TeX-AMS_SVG-full.js | 32 +++++++------- config/TeX-AMS_SVG.js | 30 ++++++------- config/TeX-MML-AM_CHTML-full.js | 40 +++++++++--------- config/TeX-MML-AM_CHTML.js | 38 ++++++++--------- config/TeX-MML-AM_HTMLorMML-full.js | 42 +++++++++---------- config/TeX-MML-AM_HTMLorMML.js | 40 +++++++++--------- config/TeX-MML-AM_SVG-full.js | 40 +++++++++--------- config/TeX-MML-AM_SVG.js | 38 ++++++++--------- config/default.js | 2 +- config/local/local.js | 2 +- extensions/AssistiveMML.js | 2 +- extensions/FontWarnings.js | 2 +- extensions/HTML-CSS/handle-floats.js | 2 +- extensions/HelpDialog.js | 2 +- extensions/MatchWebFonts.js | 2 +- extensions/MathEvents.js | 2 +- extensions/MathML/content-mathml.js | 2 +- extensions/MathML/mml3.js | 2 +- extensions/MathMenu.js | 2 +- extensions/MathZoom.js | 2 +- extensions/Safe.js | 2 +- extensions/TeX/AMScd.js | 2 +- extensions/TeX/AMSmath.js | 2 +- extensions/TeX/AMSsymbols.js | 2 +- extensions/TeX/HTML.js | 2 +- extensions/TeX/action.js | 2 +- extensions/TeX/autobold.js | 2 +- extensions/TeX/autoload-all.js | 2 +- extensions/TeX/bbox.js | 2 +- extensions/TeX/begingroup.js | 2 +- extensions/TeX/boldsymbol.js | 2 +- extensions/TeX/cancel.js | 2 +- extensions/TeX/color.js | 2 +- extensions/TeX/enclose.js | 2 +- extensions/TeX/extpfeil.js | 2 +- extensions/TeX/mathchoice.js | 2 +- extensions/TeX/mediawiki-texvc.js | 2 +- extensions/TeX/mhchem.js | 2 +- extensions/TeX/newcommand.js | 2 +- extensions/TeX/noErrors.js | 2 +- extensions/TeX/noUndefined.js | 2 +- extensions/TeX/unicode.js | 2 +- extensions/TeX/verb.js | 2 +- extensions/asciimath2jax.js | 2 +- extensions/fast-preview.js | 2 +- extensions/jsMath2jax.js | 2 +- extensions/mml2jax.js | 2 +- extensions/tex2jax.js | 2 +- extensions/toMathML.js | 2 +- jax/element/mml/jax.js | 2 +- jax/input/AsciiMath/config.js | 2 +- jax/input/MathML/config.js | 2 +- jax/input/TeX/config.js | 2 +- .../CommonHTML/autoload/annotation-xml.js | 2 +- jax/output/CommonHTML/autoload/maction.js | 2 +- jax/output/CommonHTML/autoload/menclose.js | 2 +- jax/output/CommonHTML/autoload/mglyph.js | 2 +- .../CommonHTML/autoload/mmultiscripts.js | 2 +- jax/output/CommonHTML/autoload/ms.js | 2 +- jax/output/CommonHTML/autoload/mtable.js | 2 +- jax/output/CommonHTML/autoload/multiline.js | 2 +- jax/output/CommonHTML/config.js | 2 +- .../CommonHTML/fonts/TeX/fontdata-extra.js | 2 +- jax/output/CommonHTML/fonts/TeX/fontdata.js | 2 +- .../HTML-CSS/autoload/annotation-xml.js | 2 +- jax/output/HTML-CSS/autoload/maction.js | 2 +- jax/output/HTML-CSS/autoload/menclose.js | 2 +- jax/output/HTML-CSS/autoload/mglyph.js | 2 +- jax/output/HTML-CSS/autoload/mmultiscripts.js | 2 +- jax/output/HTML-CSS/autoload/ms.js | 2 +- jax/output/HTML-CSS/autoload/mtable.js | 2 +- jax/output/HTML-CSS/autoload/multiline.js | 2 +- jax/output/HTML-CSS/config.js | 2 +- .../fonts/Asana-Math/fontdata-extra.js | 2 +- .../HTML-CSS/fonts/Asana-Math/fontdata.js | 2 +- .../fonts/Gyre-Pagella/fontdata-extra.js | 2 +- .../HTML-CSS/fonts/Gyre-Pagella/fontdata.js | 2 +- .../fonts/Gyre-Termes/fontdata-extra.js | 2 +- .../HTML-CSS/fonts/Gyre-Termes/fontdata.js | 2 +- .../fonts/Latin-Modern/fontdata-extra.js | 2 +- .../HTML-CSS/fonts/Latin-Modern/fontdata.js | 2 +- .../fonts/Neo-Euler/fontdata-extra.js | 2 +- .../HTML-CSS/fonts/Neo-Euler/fontdata.js | 2 +- .../HTML-CSS/fonts/STIX-Web/fontdata-extra.js | 2 +- .../HTML-CSS/fonts/STIX-Web/fontdata.js | 2 +- .../HTML-CSS/fonts/STIX/fontdata-extra.js | 2 +- jax/output/HTML-CSS/fonts/STIX/fontdata.js | 2 +- .../HTML-CSS/fonts/TeX/fontdata-extra.js | 2 +- jax/output/HTML-CSS/fonts/TeX/fontdata.js | 2 +- jax/output/HTML-CSS/imageFonts.js | 2 +- jax/output/NativeMML/config.js | 2 +- jax/output/PlainSource/config.js | 2 +- jax/output/PreviewHTML/config.js | 2 +- jax/output/SVG/autoload/annotation-xml.js | 2 +- jax/output/SVG/autoload/maction.js | 2 +- jax/output/SVG/autoload/menclose.js | 2 +- jax/output/SVG/autoload/mglyph.js | 2 +- jax/output/SVG/autoload/mmultiscripts.js | 2 +- jax/output/SVG/autoload/ms.js | 2 +- jax/output/SVG/autoload/mtable.js | 2 +- jax/output/SVG/autoload/multiline.js | 2 +- jax/output/SVG/config.js | 2 +- .../SVG/fonts/Asana-Math/fontdata-extra.js | 2 +- jax/output/SVG/fonts/Asana-Math/fontdata.js | 2 +- .../SVG/fonts/Gyre-Pagella/fontdata-extra.js | 2 +- jax/output/SVG/fonts/Gyre-Pagella/fontdata.js | 2 +- .../SVG/fonts/Gyre-Termes/fontdata-extra.js | 2 +- jax/output/SVG/fonts/Gyre-Termes/fontdata.js | 2 +- .../SVG/fonts/Latin-Modern/fontdata-extra.js | 2 +- jax/output/SVG/fonts/Latin-Modern/fontdata.js | 2 +- .../SVG/fonts/Neo-Euler/fontdata-extra.js | 2 +- jax/output/SVG/fonts/Neo-Euler/fontdata.js | 2 +- .../SVG/fonts/STIX-Web/fontdata-extra.js | 2 +- jax/output/SVG/fonts/STIX-Web/fontdata.js | 2 +- jax/output/SVG/fonts/TeX/fontdata-extra.js | 2 +- jax/output/SVG/fonts/TeX/fontdata.js | 2 +- latest.js | 2 +- localization/ar/FontWarnings.js | 2 +- localization/ar/HTML-CSS.js | 2 +- localization/ar/HelpDialog.js | 2 +- localization/ar/MathML.js | 2 +- localization/ar/MathMenu.js | 2 +- localization/ar/TeX.js | 2 +- localization/ar/ar.js | 2 +- localization/ast/FontWarnings.js | 2 +- localization/ast/HTML-CSS.js | 2 +- localization/ast/HelpDialog.js | 2 +- localization/ast/MathML.js | 2 +- localization/ast/MathMenu.js | 2 +- localization/ast/TeX.js | 2 +- localization/ast/ast.js | 2 +- localization/bcc/FontWarnings.js | 2 +- localization/bcc/HTML-CSS.js | 2 +- localization/bcc/HelpDialog.js | 2 +- localization/bcc/MathML.js | 2 +- localization/bcc/MathMenu.js | 2 +- localization/bcc/TeX.js | 2 +- localization/bcc/bcc.js | 2 +- localization/bg/FontWarnings.js | 2 +- localization/bg/HTML-CSS.js | 2 +- localization/bg/HelpDialog.js | 2 +- localization/bg/MathML.js | 2 +- localization/bg/MathMenu.js | 2 +- localization/bg/TeX.js | 2 +- localization/bg/bg.js | 2 +- localization/br/FontWarnings.js | 2 +- localization/br/HTML-CSS.js | 2 +- localization/br/HelpDialog.js | 2 +- localization/br/MathML.js | 2 +- localization/br/MathMenu.js | 2 +- localization/br/TeX.js | 2 +- localization/br/br.js | 2 +- localization/ca/FontWarnings.js | 2 +- localization/ca/HTML-CSS.js | 2 +- localization/ca/HelpDialog.js | 2 +- localization/ca/MathML.js | 2 +- localization/ca/MathMenu.js | 2 +- localization/ca/TeX.js | 2 +- localization/ca/ca.js | 2 +- localization/cdo/FontWarnings.js | 2 +- localization/cdo/HTML-CSS.js | 2 +- localization/cdo/HelpDialog.js | 2 +- localization/cdo/MathML.js | 2 +- localization/cdo/MathMenu.js | 2 +- localization/cdo/TeX.js | 2 +- localization/cdo/cdo.js | 2 +- localization/ce/FontWarnings.js | 2 +- localization/ce/HTML-CSS.js | 2 +- localization/ce/HelpDialog.js | 2 +- localization/ce/MathML.js | 2 +- localization/ce/MathMenu.js | 2 +- localization/ce/TeX.js | 2 +- localization/ce/ce.js | 2 +- localization/cs/FontWarnings.js | 2 +- localization/cs/HTML-CSS.js | 2 +- localization/cs/HelpDialog.js | 2 +- localization/cs/MathML.js | 2 +- localization/cs/MathMenu.js | 2 +- localization/cs/TeX.js | 2 +- localization/cs/cs.js | 2 +- localization/cy/FontWarnings.js | 2 +- localization/cy/HTML-CSS.js | 2 +- localization/cy/HelpDialog.js | 2 +- localization/cy/MathML.js | 2 +- localization/cy/MathMenu.js | 2 +- localization/cy/TeX.js | 2 +- localization/cy/cy.js | 2 +- localization/da/FontWarnings.js | 2 +- localization/da/HTML-CSS.js | 2 +- localization/da/HelpDialog.js | 2 +- localization/da/MathML.js | 2 +- localization/da/MathMenu.js | 2 +- localization/da/TeX.js | 2 +- localization/da/da.js | 2 +- localization/de/FontWarnings.js | 2 +- localization/de/HTML-CSS.js | 2 +- localization/de/HelpDialog.js | 2 +- localization/de/MathML.js | 2 +- localization/de/MathMenu.js | 2 +- localization/de/TeX.js | 2 +- localization/de/de.js | 2 +- localization/diq/FontWarnings.js | 2 +- localization/diq/HTML-CSS.js | 2 +- localization/diq/HelpDialog.js | 2 +- localization/diq/MathML.js | 2 +- localization/diq/MathMenu.js | 2 +- localization/diq/TeX.js | 2 +- localization/diq/diq.js | 2 +- localization/en/FontWarnings.js | 2 +- localization/en/HTML-CSS.js | 2 +- localization/en/HelpDialog.js | 2 +- localization/en/MathML.js | 2 +- localization/en/MathMenu.js | 2 +- localization/en/TeX.js | 2 +- localization/en/en.js | 2 +- localization/eo/FontWarnings.js | 2 +- localization/eo/HTML-CSS.js | 2 +- localization/eo/HelpDialog.js | 2 +- localization/eo/MathML.js | 2 +- localization/eo/MathMenu.js | 2 +- localization/eo/TeX.js | 2 +- localization/eo/eo.js | 2 +- localization/es/FontWarnings.js | 2 +- localization/es/HTML-CSS.js | 2 +- localization/es/HelpDialog.js | 2 +- localization/es/MathML.js | 2 +- localization/es/MathMenu.js | 2 +- localization/es/TeX.js | 2 +- localization/es/es.js | 2 +- localization/fa/FontWarnings.js | 2 +- localization/fa/HTML-CSS.js | 2 +- localization/fa/HelpDialog.js | 2 +- localization/fa/MathML.js | 2 +- localization/fa/MathMenu.js | 2 +- localization/fa/TeX.js | 2 +- localization/fa/fa.js | 2 +- localization/fi/FontWarnings.js | 2 +- localization/fi/HTML-CSS.js | 2 +- localization/fi/HelpDialog.js | 2 +- localization/fi/MathML.js | 2 +- localization/fi/MathMenu.js | 2 +- localization/fi/TeX.js | 2 +- localization/fi/fi.js | 2 +- localization/fr/FontWarnings.js | 2 +- localization/fr/HTML-CSS.js | 2 +- localization/fr/HelpDialog.js | 2 +- localization/fr/MathML.js | 2 +- localization/fr/MathMenu.js | 2 +- localization/fr/TeX.js | 2 +- localization/fr/fr.js | 2 +- localization/gl/FontWarnings.js | 2 +- localization/gl/HTML-CSS.js | 2 +- localization/gl/HelpDialog.js | 2 +- localization/gl/MathML.js | 2 +- localization/gl/MathMenu.js | 2 +- localization/gl/TeX.js | 2 +- localization/gl/gl.js | 2 +- localization/he/FontWarnings.js | 2 +- localization/he/HTML-CSS.js | 2 +- localization/he/HelpDialog.js | 2 +- localization/he/MathML.js | 2 +- localization/he/MathMenu.js | 2 +- localization/he/TeX.js | 2 +- localization/he/he.js | 2 +- localization/ia/FontWarnings.js | 2 +- localization/ia/HTML-CSS.js | 2 +- localization/ia/HelpDialog.js | 2 +- localization/ia/MathML.js | 2 +- localization/ia/MathMenu.js | 2 +- localization/ia/TeX.js | 2 +- localization/ia/ia.js | 2 +- localization/it/FontWarnings.js | 2 +- localization/it/HTML-CSS.js | 2 +- localization/it/HelpDialog.js | 2 +- localization/it/MathML.js | 2 +- localization/it/MathMenu.js | 2 +- localization/it/TeX.js | 2 +- localization/it/it.js | 2 +- localization/ja/FontWarnings.js | 2 +- localization/ja/HTML-CSS.js | 2 +- localization/ja/HelpDialog.js | 2 +- localization/ja/MathML.js | 2 +- localization/ja/MathMenu.js | 2 +- localization/ja/TeX.js | 2 +- localization/ja/ja.js | 2 +- localization/kn/FontWarnings.js | 2 +- localization/kn/HTML-CSS.js | 2 +- localization/kn/HelpDialog.js | 2 +- localization/kn/MathML.js | 2 +- localization/kn/MathMenu.js | 2 +- localization/kn/TeX.js | 2 +- localization/kn/kn.js | 2 +- localization/ko/FontWarnings.js | 2 +- localization/ko/HTML-CSS.js | 2 +- localization/ko/HelpDialog.js | 2 +- localization/ko/MathML.js | 2 +- localization/ko/MathMenu.js | 2 +- localization/ko/TeX.js | 2 +- localization/ko/ko.js | 2 +- localization/lb/FontWarnings.js | 2 +- localization/lb/HTML-CSS.js | 2 +- localization/lb/HelpDialog.js | 2 +- localization/lb/MathML.js | 2 +- localization/lb/MathMenu.js | 2 +- localization/lb/TeX.js | 2 +- localization/lb/lb.js | 2 +- localization/lki/FontWarnings.js | 2 +- localization/lki/HTML-CSS.js | 2 +- localization/lki/HelpDialog.js | 2 +- localization/lki/MathML.js | 2 +- localization/lki/MathMenu.js | 2 +- localization/lki/TeX.js | 2 +- localization/lki/lki.js | 2 +- localization/lt/FontWarnings.js | 2 +- localization/lt/HTML-CSS.js | 2 +- localization/lt/HelpDialog.js | 2 +- localization/lt/MathML.js | 2 +- localization/lt/MathMenu.js | 2 +- localization/lt/TeX.js | 2 +- localization/lt/lt.js | 2 +- localization/mk/FontWarnings.js | 2 +- localization/mk/HTML-CSS.js | 2 +- localization/mk/HelpDialog.js | 2 +- localization/mk/MathML.js | 2 +- localization/mk/MathMenu.js | 2 +- localization/mk/TeX.js | 2 +- localization/mk/mk.js | 2 +- localization/nl/FontWarnings.js | 2 +- localization/nl/HTML-CSS.js | 2 +- localization/nl/HelpDialog.js | 2 +- localization/nl/MathML.js | 2 +- localization/nl/MathMenu.js | 2 +- localization/nl/TeX.js | 2 +- localization/nl/nl.js | 2 +- localization/oc/FontWarnings.js | 2 +- localization/oc/HTML-CSS.js | 2 +- localization/oc/HelpDialog.js | 2 +- localization/oc/MathML.js | 2 +- localization/oc/MathMenu.js | 2 +- localization/oc/TeX.js | 2 +- localization/oc/oc.js | 2 +- localization/pl/FontWarnings.js | 2 +- localization/pl/HTML-CSS.js | 2 +- localization/pl/HelpDialog.js | 2 +- localization/pl/MathML.js | 2 +- localization/pl/MathMenu.js | 2 +- localization/pl/TeX.js | 2 +- localization/pl/pl.js | 2 +- localization/pt-br/FontWarnings.js | 2 +- localization/pt-br/HTML-CSS.js | 2 +- localization/pt-br/HelpDialog.js | 2 +- localization/pt-br/MathML.js | 2 +- localization/pt-br/MathMenu.js | 2 +- localization/pt-br/TeX.js | 2 +- localization/pt-br/pt-br.js | 2 +- localization/pt/FontWarnings.js | 2 +- localization/pt/HTML-CSS.js | 2 +- localization/pt/HelpDialog.js | 2 +- localization/pt/MathML.js | 2 +- localization/pt/MathMenu.js | 2 +- localization/pt/TeX.js | 2 +- localization/pt/pt.js | 2 +- localization/qqq/FontWarnings.js | 2 +- localization/qqq/HTML-CSS.js | 2 +- localization/qqq/HelpDialog.js | 2 +- localization/qqq/MathML.js | 2 +- localization/qqq/MathMenu.js | 2 +- localization/qqq/TeX.js | 2 +- localization/qqq/qqq.js | 2 +- localization/ru/FontWarnings.js | 2 +- localization/ru/HTML-CSS.js | 2 +- localization/ru/HelpDialog.js | 2 +- localization/ru/MathML.js | 2 +- localization/ru/MathMenu.js | 2 +- localization/ru/TeX.js | 2 +- localization/ru/ru.js | 2 +- localization/scn/FontWarnings.js | 2 +- localization/scn/HTML-CSS.js | 2 +- localization/scn/HelpDialog.js | 2 +- localization/scn/MathML.js | 2 +- localization/scn/MathMenu.js | 2 +- localization/scn/TeX.js | 2 +- localization/scn/scn.js | 2 +- localization/sco/FontWarnings.js | 2 +- localization/sco/HTML-CSS.js | 2 +- localization/sco/HelpDialog.js | 2 +- localization/sco/MathML.js | 2 +- localization/sco/MathMenu.js | 2 +- localization/sco/TeX.js | 2 +- localization/sco/sco.js | 2 +- localization/sk/FontWarnings.js | 2 +- localization/sk/HTML-CSS.js | 2 +- localization/sk/HelpDialog.js | 2 +- localization/sk/MathML.js | 2 +- localization/sk/MathMenu.js | 2 +- localization/sk/TeX.js | 2 +- localization/sk/sk.js | 2 +- localization/sl/FontWarnings.js | 2 +- localization/sl/HTML-CSS.js | 2 +- localization/sl/HelpDialog.js | 2 +- localization/sl/MathML.js | 2 +- localization/sl/MathMenu.js | 2 +- localization/sl/TeX.js | 2 +- localization/sl/sl.js | 2 +- localization/sv/FontWarnings.js | 2 +- localization/sv/HTML-CSS.js | 2 +- localization/sv/HelpDialog.js | 2 +- localization/sv/MathML.js | 2 +- localization/sv/MathMenu.js | 2 +- localization/sv/TeX.js | 2 +- localization/sv/sv.js | 2 +- localization/th/FontWarnings.js | 2 +- localization/th/HTML-CSS.js | 2 +- localization/th/HelpDialog.js | 2 +- localization/th/MathML.js | 2 +- localization/th/MathMenu.js | 2 +- localization/th/TeX.js | 2 +- localization/th/th.js | 2 +- localization/tr/FontWarnings.js | 2 +- localization/tr/HTML-CSS.js | 2 +- localization/tr/HelpDialog.js | 2 +- localization/tr/MathML.js | 2 +- localization/tr/MathMenu.js | 2 +- localization/tr/TeX.js | 2 +- localization/tr/tr.js | 2 +- localization/uk/FontWarnings.js | 2 +- localization/uk/HTML-CSS.js | 2 +- localization/uk/HelpDialog.js | 2 +- localization/uk/MathML.js | 2 +- localization/uk/MathMenu.js | 2 +- localization/uk/TeX.js | 2 +- localization/uk/uk.js | 2 +- localization/vi/FontWarnings.js | 2 +- localization/vi/HTML-CSS.js | 2 +- localization/vi/HelpDialog.js | 2 +- localization/vi/MathML.js | 2 +- localization/vi/MathMenu.js | 2 +- localization/vi/TeX.js | 2 +- localization/vi/vi.js | 2 +- localization/zh-hans/FontWarnings.js | 2 +- localization/zh-hans/HTML-CSS.js | 2 +- localization/zh-hans/HelpDialog.js | 2 +- localization/zh-hans/MathML.js | 2 +- localization/zh-hans/MathMenu.js | 2 +- localization/zh-hans/TeX.js | 2 +- localization/zh-hans/zh-hans.js | 2 +- localization/zh-hant/FontWarnings.js | 2 +- localization/zh-hant/HTML-CSS.js | 2 +- localization/zh-hant/HelpDialog.js | 2 +- localization/zh-hant/MathML.js | 2 +- localization/zh-hant/MathMenu.js | 2 +- localization/zh-hant/TeX.js | 2 +- localization/zh-hant/zh-hant.js | 2 +- unpacked/config/AM_CHTML-full.js | 2 +- unpacked/config/AM_CHTML.js | 2 +- unpacked/config/AM_HTMLorMML-full.js | 2 +- unpacked/config/AM_HTMLorMML.js | 2 +- unpacked/config/AM_SVG-full.js | 2 +- unpacked/config/AM_SVG.js | 2 +- unpacked/config/Accessible-full.js | 2 +- unpacked/config/Accessible.js | 2 +- unpacked/config/MML_CHTML-full.js | 2 +- unpacked/config/MML_CHTML.js | 2 +- unpacked/config/MML_HTMLorMML-full.js | 2 +- unpacked/config/MML_HTMLorMML.js | 2 +- unpacked/config/MML_SVG-full.js | 2 +- unpacked/config/MML_SVG.js | 2 +- unpacked/config/TeX-AMS-MML_HTMLorMML-full.js | 2 +- unpacked/config/TeX-AMS-MML_HTMLorMML.js | 2 +- unpacked/config/TeX-AMS-MML_SVG-full.js | 2 +- unpacked/config/TeX-AMS-MML_SVG.js | 2 +- unpacked/config/TeX-AMS_CHTML-full.js | 2 +- unpacked/config/TeX-AMS_CHTML.js | 2 +- unpacked/config/TeX-AMS_HTML-full.js | 2 +- unpacked/config/TeX-AMS_HTML.js | 2 +- unpacked/config/TeX-AMS_SVG-full.js | 2 +- unpacked/config/TeX-AMS_SVG.js | 2 +- unpacked/config/TeX-MML-AM_CHTML-full.js | 2 +- unpacked/config/TeX-MML-AM_CHTML.js | 2 +- unpacked/config/TeX-MML-AM_HTMLorMML-full.js | 2 +- unpacked/config/TeX-MML-AM_HTMLorMML.js | 2 +- unpacked/config/TeX-MML-AM_SVG-full.js | 2 +- unpacked/config/TeX-MML-AM_SVG.js | 2 +- 506 files changed, 939 insertions(+), 939 deletions(-) diff --git a/MathJax.js b/MathJax.js index c54a1ed2d3..8ba8735210 100644 --- a/MathJax.js +++ b/MathJax.js @@ -16,4 +16,4 @@ * limitations under the License. */ -if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.7.5";MathJax.fileversion="2.7.5";MathJax.cdnVersion="2.7.5";MathJax.cdnFileVersions={};(function(d){var b=window[d];if(!b){b=window[d]={}}var e=[];var c=function(f){var g=f.constructor;if(!g){g=function(){}}for(var h in f){if(h!=="constructor"&&f.hasOwnProperty(h)){g[h]=f[h]}}return g};var a=function(){return function(){return arguments.callee.Init.call(this,arguments)}};b.Object=c({constructor:a(),Subclass:function(f,h){var g=a();g.SUPER=this;g.Init=this.Init;g.Subclass=this.Subclass;g.Augment=this.Augment;g.protoFunction=this.protoFunction;g.can=this.can;g.has=this.has;g.isa=this.isa;g.prototype=new this(e);g.prototype.constructor=g;g.Augment(f,h);return g},Init:function(f){var g=this;if(f.length===1&&f[0]===e){return g}if(!(g instanceof f.callee)){g=new f.callee(e)}return g.Init.apply(g,f)||g},Augment:function(f,g){var h;if(f!=null){for(h in f){if(f.hasOwnProperty(h)){this.protoFunction(h,f[h])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){this.protoFunction("toString",f.toString)}}if(g!=null){for(h in g){if(g.hasOwnProperty(h)){this[h]=g[h]}}}return this},protoFunction:function(g,f){this.prototype[g]=f;if(typeof f==="function"){f.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(f){return f.callee.SUPER},can:function(f){return typeof(this[f])==="function"},has:function(f){return typeof(this[f])!=="undefined"},isa:function(f){return(f instanceof Object)&&(this instanceof f)}},can:function(f){return this.prototype.can.call(this,f)},has:function(f){return this.prototype.has.call(this,f)},isa:function(g){var f=this;while(f){if(f===g){return true}else{f=f.SUPER}}return false},SimpleSUPER:c({constructor:function(f){return this.SimpleSUPER.define(f)},define:function(f){var h={};if(f!=null){for(var g in f){if(f.hasOwnProperty(g)){h[g]=this.wrap(g,f[g])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){h.toString=this.wrap("toString",f.toString)}}return h},wrap:function(i,h){if(typeof(h)!=="function"||!h.toString().match(/\.\s*SUPER\s*\(/)){return h}var g=function(){this.SUPER=g.SUPER[i];try{var f=h.apply(this,arguments)}catch(j){delete this.SUPER;throw j}delete this.SUPER;return f};g.toString=function(){return h.toString.apply(h,arguments)};return g}})});b.Object.isArray=Array.isArray||function(f){return Object.prototype.toString.call(f)==="[object Array]"};b.Object.Array=Array})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var isArray=BASE.Object.isArray;var CALLBACK=function(data){var cb=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};var TESTEVAL=function(){EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}TESTEVAL=null};var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(isArray(args)&&args.length===1&&typeof(args[0])==="function"){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(isArray(args)){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){if(TESTEVAL){TESTEVAL()}return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i0&&priority=0;i--){this.hooks.splice(i,1)}this.remove=[]}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!isArray(hooks)){hooks=[hooks]}if(!isArray(data)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;ig){g=document.styleSheets.length}if(!i){i=document.head||((document.getElementsByTagName("head"))[0]);if(!i){i=document.body}}return i};var f=[];var c=function(){for(var k=0,j=f.length;k=this.timeout){i(this.STATUS.ERROR);return 1}return 0},file:function(j,i){if(i<0){a.Ajax.loadTimeout(j)}else{a.Ajax.loadComplete(j)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(i,j,k){if(i.time(k)){return}if(document.styleSheets.length>j&&document.styleSheets[j].cssRules&&document.styleSheets[j].cssRules.length){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},checkLength:function(i,l,n){if(i.time(n)){return}var m=0;var j=(l.sheet||l.styleSheet);try{if((j.cssRules||j.rules||[]).length>0){m=1}}catch(k){if(k.message.match(/protected variable|restricted URI/)){m=1}else{if(k.message.match(/Security error/)){m=1}}}if(m){setTimeout(a.Callback([n,i.STATUS.OK]),0)}else{setTimeout(i,i.delay)}}},loadComplete:function(i){i=this.fileURL(i);var j=this.loading[i];if(j&&!j.preloaded){a.Message.Clear(j.message);clearTimeout(j.timeout);if(j.script){if(f.length===0){setTimeout(c,0)}f.push(j.script)}this.loaded[i]=j.status;delete this.loading[i];this.addHook(i,j.callback)}else{if(j){delete this.loading[i]}this.loaded[i]=this.STATUS.OK;j={status:this.STATUS.OK}}if(!this.loadHooks[i]){return null}return this.loadHooks[i].Execute(j.status)},loadTimeout:function(i){if(this.loading[i].timeout){clearTimeout(this.loading[i].timeout)}this.loading[i].status=this.STATUS.ERROR;this.loadError(i);this.loadComplete(i)},loadError:function(i){a.Message.Set(["LoadFailed","File failed to load: %1",i],null,2000);a.Hub.signal.Post(["file load error",i])},Styles:function(k,l){var i=this.StyleString(k);if(i===""){l=a.Callback(l);l()}else{var j=document.createElement("style");j.type="text/css";this.head=h(this.head);this.head.appendChild(j);if(j.styleSheet&&typeof(j.styleSheet.cssText)!=="undefined"){j.styleSheet.cssText=i}else{j.appendChild(document.createTextNode(i))}l=this.timer.create.call(this,l,j)}return l},StyleString:function(n){if(typeof(n)==="string"){return n}var k="",o,m;for(o in n){if(n.hasOwnProperty(o)){if(typeof n[o]==="string"){k+=o+" {"+n[o]+"}\n"}else{if(a.Object.isArray(n[o])){for(var l=0;l="0"&&q<="9"){f[j]=p[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(q==="{"){q=f[j].substr(1);if(q>="0"&&q<="9"){f[j]=p[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=p[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.ithis.processUpdateTime&&a.i1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.jthis.processUpdateTime&&h.i=0;q--){if((b[q].src||"").match(f)){s.script=b[q].innerHTML;if(RegExp.$2){var t=RegExp.$2.substr(1).split(/\&/);for(var p=0,l=t.length;p=parseInt(y[z])}}return true},Select:function(j){var i=j[d.Browser];if(i){return i(d.Browser)}return null}};var e=k.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");d.Browser=d.Insert(d.Insert(new String("Unknown"),{version:"0.0"}),a);for(var v in a){if(a.hasOwnProperty(v)){if(a[v]&&v.substr(0,2)==="is"){v=v.slice(2);if(v==="Mac"||v==="PC"){continue}d.Browser=d.Insert(new String(v),a);var r=new RegExp(".*(Version/| Trident/.*; rv:)((?:\\d+\\.)+\\d+)|.*("+v+")"+(v=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var u=r.exec(e)||["","","","unknown","0.0"];d.Browser.name=(u[1]!=""?v:(u[3]||u[5]));d.Browser.version=u[2]||u[4]||u[6];break}}}try{d.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=538){j.version="8.0"}else{if(i>=537){j.version="7.0"}else{if(i>=536){j.version="6.0"}else{if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}}}}j.webkit=(navigator.appVersion.match(/WebKit\/(\d+)\./))[1];j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||k.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=k.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||k.match(/ Fennec\//)!=null||k.match(/Mobile/)!=null)},Chrome:function(i){i.noContextMenu=i.isMobile=!!navigator.userAgent.match(/ Mobile[ \/]/)},Opera:function(i){i.version=opera.version()},Edge:function(i){i.isMobile=!!navigator.userAgent.match(/ Phone/)},MSIE:function(j){j.isMobile=!!navigator.userAgent.match(/ Phone/);j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;MathJax.Hub.msieHTMLCollectionBug=(document.documentMode<9);if(document.documentMode<10&&!s.params.NoMathPlayer){try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=true}catch(m){}try{if(j.hasMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";g.appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}}})}catch(c){console.error(c.message)}d.Browser.Select(MathJax.Message.browsers);if(h.AuthorConfig&&typeof h.AuthorConfig.AuthorInit==="function"){h.AuthorConfig.AuthorInit()}d.queue=h.Callback.Queue();d.queue.Push(["Post",s.signal,"Begin"],["Config",s],["Cookie",s],["Styles",s],["Message",s],function(){var i=h.Callback.Queue(s.Jax(),s.Extensions());return i.Push({})},["Menu",s],s.onLoad(),function(){MathJax.isReady=true},["Typeset",s],["Hash",s],["MenuZoom",s],["Post",s.signal,"End"])})("MathJax")}}; +if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.7.6";MathJax.fileversion="2.7.6";MathJax.cdnVersion="2.7.6";MathJax.cdnFileVersions={};(function(d){var b=window[d];if(!b){b=window[d]={}}var e=[];var c=function(f){var g=f.constructor;if(!g){g=function(){}}for(var h in f){if(h!=="constructor"&&f.hasOwnProperty(h)){g[h]=f[h]}}return g};var a=function(){return function(){return arguments.callee.Init.call(this,arguments)}};b.Object=c({constructor:a(),Subclass:function(f,h){var g=a();g.SUPER=this;g.Init=this.Init;g.Subclass=this.Subclass;g.Augment=this.Augment;g.protoFunction=this.protoFunction;g.can=this.can;g.has=this.has;g.isa=this.isa;g.prototype=new this(e);g.prototype.constructor=g;g.Augment(f,h);return g},Init:function(f){var g=this;if(f.length===1&&f[0]===e){return g}if(!(g instanceof f.callee)){g=new f.callee(e)}return g.Init.apply(g,f)||g},Augment:function(f,g){var h;if(f!=null){for(h in f){if(f.hasOwnProperty(h)){this.protoFunction(h,f[h])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){this.protoFunction("toString",f.toString)}}if(g!=null){for(h in g){if(g.hasOwnProperty(h)){this[h]=g[h]}}}return this},protoFunction:function(g,f){this.prototype[g]=f;if(typeof f==="function"){f.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(f){return f.callee.SUPER},can:function(f){return typeof(this[f])==="function"},has:function(f){return typeof(this[f])!=="undefined"},isa:function(f){return(f instanceof Object)&&(this instanceof f)}},can:function(f){return this.prototype.can.call(this,f)},has:function(f){return this.prototype.has.call(this,f)},isa:function(g){var f=this;while(f){if(f===g){return true}else{f=f.SUPER}}return false},SimpleSUPER:c({constructor:function(f){return this.SimpleSUPER.define(f)},define:function(f){var h={};if(f!=null){for(var g in f){if(f.hasOwnProperty(g)){h[g]=this.wrap(g,f[g])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){h.toString=this.wrap("toString",f.toString)}}return h},wrap:function(i,h){if(typeof(h)!=="function"||!h.toString().match(/\.\s*SUPER\s*\(/)){return h}var g=function(){this.SUPER=g.SUPER[i];try{var f=h.apply(this,arguments)}catch(j){delete this.SUPER;throw j}delete this.SUPER;return f};g.toString=function(){return h.toString.apply(h,arguments)};return g}})});b.Object.isArray=Array.isArray||function(f){return Object.prototype.toString.call(f)==="[object Array]"};b.Object.Array=Array})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var isArray=BASE.Object.isArray;var CALLBACK=function(data){var cb=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};var TESTEVAL=function(){EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}TESTEVAL=null};var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(isArray(args)&&args.length===1&&typeof(args[0])==="function"){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(isArray(args)){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){if(TESTEVAL){TESTEVAL()}return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i0&&priority=0;i--){this.hooks.splice(i,1)}this.remove=[]}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!isArray(hooks)){hooks=[hooks]}if(!isArray(data)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;ig){g=document.styleSheets.length}if(!i){i=document.head||((document.getElementsByTagName("head"))[0]);if(!i){i=document.body}}return i};var f=[];var c=function(){for(var k=0,j=f.length;k=this.timeout){i(this.STATUS.ERROR);return 1}return 0},file:function(j,i){if(i<0){a.Ajax.loadTimeout(j)}else{a.Ajax.loadComplete(j)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(i,j,k){if(i.time(k)){return}if(document.styleSheets.length>j&&document.styleSheets[j].cssRules&&document.styleSheets[j].cssRules.length){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},checkLength:function(i,l,n){if(i.time(n)){return}var m=0;var j=(l.sheet||l.styleSheet);try{if((j.cssRules||j.rules||[]).length>0){m=1}}catch(k){if(k.message.match(/protected variable|restricted URI/)){m=1}else{if(k.message.match(/Security error/)){m=1}}}if(m){setTimeout(a.Callback([n,i.STATUS.OK]),0)}else{setTimeout(i,i.delay)}}},loadComplete:function(i){i=this.fileURL(i);var j=this.loading[i];if(j&&!j.preloaded){a.Message.Clear(j.message);clearTimeout(j.timeout);if(j.script){if(f.length===0){setTimeout(c,0)}f.push(j.script)}this.loaded[i]=j.status;delete this.loading[i];this.addHook(i,j.callback)}else{if(j){delete this.loading[i]}this.loaded[i]=this.STATUS.OK;j={status:this.STATUS.OK}}if(!this.loadHooks[i]){return null}return this.loadHooks[i].Execute(j.status)},loadTimeout:function(i){if(this.loading[i].timeout){clearTimeout(this.loading[i].timeout)}this.loading[i].status=this.STATUS.ERROR;this.loadError(i);this.loadComplete(i)},loadError:function(i){a.Message.Set(["LoadFailed","File failed to load: %1",i],null,2000);a.Hub.signal.Post(["file load error",i])},Styles:function(k,l){var i=this.StyleString(k);if(i===""){l=a.Callback(l);l()}else{var j=document.createElement("style");j.type="text/css";this.head=h(this.head);this.head.appendChild(j);if(j.styleSheet&&typeof(j.styleSheet.cssText)!=="undefined"){j.styleSheet.cssText=i}else{j.appendChild(document.createTextNode(i))}l=this.timer.create.call(this,l,j)}return l},StyleString:function(n){if(typeof(n)==="string"){return n}var k="",o,m;for(o in n){if(n.hasOwnProperty(o)){if(typeof n[o]==="string"){k+=o+" {"+n[o]+"}\n"}else{if(a.Object.isArray(n[o])){for(var l=0;l="0"&&q<="9"){f[j]=p[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(q==="{"){q=f[j].substr(1);if(q>="0"&&q<="9"){f[j]=p[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=p[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.ithis.processUpdateTime&&a.i1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.jthis.processUpdateTime&&h.i=0;q--){if((b[q].src||"").match(f)){s.script=b[q].innerHTML;if(RegExp.$2){var t=RegExp.$2.substr(1).split(/\&/);for(var p=0,l=t.length;p=parseInt(y[z])}}return true},Select:function(j){var i=j[d.Browser];if(i){return i(d.Browser)}return null}};var e=k.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");d.Browser=d.Insert(d.Insert(new String("Unknown"),{version:"0.0"}),a);for(var v in a){if(a.hasOwnProperty(v)){if(a[v]&&v.substr(0,2)==="is"){v=v.slice(2);if(v==="Mac"||v==="PC"){continue}d.Browser=d.Insert(new String(v),a);var r=new RegExp(".*(Version/| Trident/.*; rv:)((?:\\d+\\.)+\\d+)|.*("+v+")"+(v=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var u=r.exec(e)||["","","","unknown","0.0"];d.Browser.name=(u[1]!=""?v:(u[3]||u[5]));d.Browser.version=u[2]||u[4]||u[6];break}}}try{d.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=538){j.version="8.0"}else{if(i>=537){j.version="7.0"}else{if(i>=536){j.version="6.0"}else{if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}}}}j.webkit=(navigator.appVersion.match(/WebKit\/(\d+)\./))[1];j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||k.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=k.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||k.match(/ Fennec\//)!=null||k.match(/Mobile/)!=null)},Chrome:function(i){i.noContextMenu=i.isMobile=!!navigator.userAgent.match(/ Mobile[ \/]/)},Opera:function(i){i.version=opera.version()},Edge:function(i){i.isMobile=!!navigator.userAgent.match(/ Phone/)},MSIE:function(j){j.isMobile=!!navigator.userAgent.match(/ Phone/);j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;MathJax.Hub.msieHTMLCollectionBug=(document.documentMode<9);if(document.documentMode<10&&!s.params.NoMathPlayer){try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=true}catch(m){}try{if(j.hasMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";g.appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}}})}catch(c){console.error(c.message)}d.Browser.Select(MathJax.Message.browsers);if(h.AuthorConfig&&typeof h.AuthorConfig.AuthorInit==="function"){h.AuthorConfig.AuthorInit()}d.queue=h.Callback.Queue();d.queue.Push(["Post",s.signal,"Begin"],["Config",s],["Cookie",s],["Styles",s],["Message",s],function(){var i=h.Callback.Queue(s.Jax(),s.Extensions());return i.Push({})},["Menu",s],s.onLoad(),function(){MathJax.isReady=true},["Typeset",s],["Hash",s],["MenuZoom",s],["Post",s.signal,"End"])})("MathJax")}}; diff --git a/config/AM_CHTML-full.js b/config/AM_CHTML-full.js index 9490be7668..20db1ecd6b 100644 --- a/config/AM_CHTML-full.js +++ b/config/AM_CHTML-full.js @@ -35,19 +35,19 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;vC.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.hB.w+t[3]){B.l=B.w+t[3]}if(B.rw.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&xJ){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&sy){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.hu){u=s}}if(u===-i){u=s}for(y=0;yD.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(KD){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;ua.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML); -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML-full.js"); diff --git a/config/AM_CHTML.js b/config/AM_CHTML.js index f280fc2c50..251c5c8433 100644 --- a/config/AM_CHTML.js +++ b/config/AM_CHTML.js @@ -33,17 +33,17 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML.js"); diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js index 81f5a7e4ac..9671044f5e 100644 --- a/config/AM_HTMLorMML-full.js +++ b/config/AM_HTMLorMML-full.js @@ -40,22 +40,22 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xF.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;on.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lwn.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;or.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;ox.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;od.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(BA){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;oL){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;NL){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;NL){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML-full.js"); diff --git a/config/AM_HTMLorMML.js b/config/AM_HTMLorMML.js index 745da58df0..123886493f 100644 --- a/config/AM_HTMLorMML.js +++ b/config/AM_HTMLorMML.js @@ -37,19 +37,19 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML.js"); diff --git a/config/AM_SVG-full.js b/config/AM_SVG-full.js index d22e5ac955..830bc2dfaa 100644 --- a/config/AM_SVG-full.js +++ b/config/AM_SVG-full.js @@ -35,19 +35,19 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;qt){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&qD){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.lthis.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;qo.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;po.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;st.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;pa.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;qz){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;pJ){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;KJ){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;KJ){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_SVG-full.js"); diff --git a/config/AM_SVG.js b/config/AM_SVG.js index 9ecec30466..30da269d26 100644 --- a/config/AM_SVG.js +++ b/config/AM_SVG.js @@ -32,16 +32,16 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_SVG.js"); diff --git a/config/Accessible-full.js b/config/Accessible-full.js index a0b663874c..d5f7b4879e 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -55,29 +55,29 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xF.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;on.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lwn.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;or.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;ox.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;od.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(BA){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;oL){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;NL){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;NL){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/Accessible-full.js"); diff --git a/config/Accessible.js b/config/Accessible.js index 510be41e47..909cbb1a23 100644 --- a/config/Accessible.js +++ b/config/Accessible.js @@ -52,26 +52,26 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/Accessible.js"); diff --git a/config/MML_CHTML-full.js b/config/MML_CHTML-full.js index ea3da4f609..4e866f7f1f 100644 --- a/config/MML_CHTML-full.js +++ b/config/MML_CHTML-full.js @@ -35,19 +35,19 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.mml2jax={version:"2.7.5",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;vC.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.hB.w+t[3]){B.l=B.w+t[3]}if(B.rw.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&xJ){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&sy){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.hu){u=s}}if(u===-i){u=s}for(y=0;yD.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(KD){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;ua.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML); -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_CHTML-full.js"); diff --git a/config/MML_CHTML.js b/config/MML_CHTML.js index fcac5c0b00..c4b85cc9b8 100644 --- a/config/MML_CHTML.js +++ b/config/MML_CHTML.js @@ -33,17 +33,17 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.mml2jax={version:"2.7.5",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_CHTML.js"); diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js index a6738a65b8..54d1d49c49 100644 --- a/config/MML_HTMLorMML-full.js +++ b/config/MML_HTMLorMML-full.js @@ -40,22 +40,22 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xF.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;on.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lwn.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;or.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;ox.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;od.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(BA){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;oL){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;NL){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;NL){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML-full.js"); diff --git a/config/MML_HTMLorMML.js b/config/MML_HTMLorMML.js index 36634d4af7..526f5b446f 100644 --- a/config/MML_HTMLorMML.js +++ b/config/MML_HTMLorMML.js @@ -38,19 +38,19 @@ MathJax.Hub.Config({ }); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML.js"); diff --git a/config/MML_SVG-full.js b/config/MML_SVG-full.js index 6e730fdf92..96eca17f5d 100644 --- a/config/MML_SVG-full.js +++ b/config/MML_SVG-full.js @@ -35,19 +35,19 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.mml2jax={version:"2.7.5",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;qt){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&qD){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.lthis.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;qo.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;po.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;st.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;pa.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;qz){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;pJ){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;KJ){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;KJ){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG-full.js"); diff --git a/config/MML_SVG.js b/config/MML_SVG.js index b84e50d26b..372de957c9 100644 --- a/config/MML_SVG.js +++ b/config/MML_SVG.js @@ -33,17 +33,17 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.mml2jax={version:"2.7.5",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG.js"); diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js index 183857c8a3..bc46d87307 100644 --- a/config/TeX-AMS-MML_HTMLorMML-full.js +++ b/config/TeX-AMS-MML_HTMLorMML-full.js @@ -47,29 +47,29 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xF.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;on.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lwn.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;or.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;ox.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;od.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(BA){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;oL){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;NL){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;NL){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML-full.js"); diff --git a/config/TeX-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js index ef5d484dc9..c8507f5ec6 100644 --- a/config/TeX-AMS-MML_HTMLorMML.js +++ b/config/TeX-AMS-MML_HTMLorMML.js @@ -44,26 +44,26 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML.js"); diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js index aec3ba1a1e..cb5488de02 100644 --- a/config/TeX-AMS-MML_SVG-full.js +++ b/config/TeX-AMS-MML_SVG-full.js @@ -42,26 +42,26 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;qt){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&qD){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.lthis.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;qo.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;po.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;st.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;pa.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;qz){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;pJ){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;KJ){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;KJ){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG-full.js"); diff --git a/config/TeX-AMS-MML_SVG.js b/config/TeX-AMS-MML_SVG.js index b699cdec66..14f31e7bab 100644 --- a/config/TeX-AMS-MML_SVG.js +++ b/config/TeX-AMS-MML_SVG.js @@ -40,24 +40,24 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -(function(d,h,l,g,m,b,j){var p="2.7.5";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG.js"); diff --git a/config/TeX-AMS_CHTML-full.js b/config/TeX-AMS_CHTML-full.js index bc2e7f7581..867983739e 100644 --- a/config/TeX-AMS_CHTML-full.js +++ b/config/TeX-AMS_CHTML-full.js @@ -39,23 +39,23 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;vC.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.hB.w+t[3]){B.l=B.w+t[3]}if(B.rw.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&xJ){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&sy){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.hu){u=s}}if(u===-i){u=s}for(y=0;yD.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(KD){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;ua.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML); -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML-full.js"); diff --git a/config/TeX-AMS_CHTML.js b/config/TeX-AMS_CHTML.js index d531549af9..1abb34a103 100644 --- a/config/TeX-AMS_CHTML.js +++ b/config/TeX-AMS_CHTML.js @@ -37,21 +37,21 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML.js"); diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js index 1209b9c7dc..82f7a15c20 100644 --- a/config/TeX-AMS_HTML-full.js +++ b/config/TeX-AMS_HTML-full.js @@ -39,23 +39,23 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xF.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;on.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lwn.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;or.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;ox.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;od.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(BA){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;oL){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;NL){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;NL){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js"); diff --git a/config/TeX-AMS_HTML.js b/config/TeX-AMS_HTML.js index 14cd40cd2a..300d9bd41f 100644 --- a/config/TeX-AMS_HTML.js +++ b/config/TeX-AMS_HTML.js @@ -37,21 +37,21 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML.js"); diff --git a/config/TeX-AMS_SVG-full.js b/config/TeX-AMS_SVG-full.js index 91ab750f32..c136618d8a 100644 --- a/config/TeX-AMS_SVG-full.js +++ b/config/TeX-AMS_SVG-full.js @@ -39,23 +39,23 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;qt){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&qD){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.lthis.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;qo.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;po.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;st.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;pa.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;qz){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;pJ){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;KJ){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;KJ){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_SVG-full.js"); diff --git a/config/TeX-AMS_SVG.js b/config/TeX-AMS_SVG.js index b0fd569ecc..5e50d7f0d6 100644 --- a/config/TeX-AMS_SVG.js +++ b/config/TeX-AMS_SVG.js @@ -37,21 +37,21 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_SVG.js"); diff --git a/config/TeX-MML-AM_CHTML-full.js b/config/TeX-MML-AM_CHTML-full.js index e15bc93782..f95db144e3 100644 --- a/config/TeX-MML-AM_CHTML-full.js +++ b/config/TeX-MML-AM_CHTML-full.js @@ -45,29 +45,29 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;vC.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.hB.w+t[3]){B.l=B.w+t[3]}if(B.rw.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&xJ){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&sy){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.lthis.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.hu){u=s}}if(u===-i){u=s}for(y=0;yD.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(KD){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;ua.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML); -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_CHTML-full.js"); diff --git a/config/TeX-MML-AM_CHTML.js b/config/TeX-MML-AM_CHTML.js index 5b6f4db71b..e775e55f15 100644 --- a/config/TeX-MML-AM_CHTML.js +++ b/config/TeX-MML-AM_CHTML.js @@ -43,27 +43,27 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_CHTML.js"); diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js index c342b0e8a6..77a27c5b11 100644 --- a/config/TeX-MML-AM_HTMLorMML-full.js +++ b/config/TeX-MML-AM_HTMLorMML-full.js @@ -50,32 +50,32 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX \ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;ut){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;sm){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em0&&(p+r)*this.emp+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(xF.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&uC){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&pv){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;on.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lwn.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;or.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;ox.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;od.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(BA){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;oL){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;NL){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;NL){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]); -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML-full.js"); diff --git a/config/TeX-MML-AM_HTMLorMML.js b/config/TeX-MML-AM_HTMLorMML.js index e1c4b11b61..57ebcf556c 100644 --- a/config/TeX-MML-AM_HTMLorMML.js +++ b/config/TeX-MML-AM_HTMLorMML.js @@ -47,29 +47,29 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML.js"); diff --git a/config/TeX-MML-AM_SVG-full.js b/config/TeX-MML-AM_SVG-full.js index 9249aeb4e9..5b1d7fd47e 100644 --- a/config/TeX-MML-AM_SVG-full.js +++ b/config/TeX-MML-AM_SVG-full.js @@ -45,29 +45,29 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;qt){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&qD){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.lthis.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;qo.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;po.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;st.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;pa.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;qz){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;pJ){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;KJ){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;KJ){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG); -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_SVG-full.js"); diff --git a/config/TeX-MML-AM_SVG.js b/config/TeX-MML-AM_SVG.js index 9ff7d55062..71ddcd27df 100644 --- a/config/TeX-MML-AM_SVG.js +++ b/config/TeX-MML-AM_SVG.js @@ -43,27 +43,27 @@ MathJax.Hub.Config({ extensions: ['[a11y]/accessibility-menu.js'] }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); -MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); -MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); -(function(b,e){var d="2.7.5";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.lastt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); (function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim inf"],limsup:["NamedOp","lim sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.id.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(qd.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(on.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/( )+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="
"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2>")+"
";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac>1;if(ac[ab]=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/ /g,"");ad=ad.replace(/>/g,">");ad=ad.replace(/</g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;tthis.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;ps){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js"); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); !function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_SVG.js"); diff --git a/config/default.js b/config/default.js index a4120d4872..cb92502e65 100644 --- a/config/default.js +++ b/config/default.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/config/local/local.js b/config/local/local.js index cf2c67805c..8aad924bb4 100644 --- a/config/local/local.js +++ b/config/local/local.js @@ -12,7 +12,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009-2018 The MathJax Consortium + * Copyright (c) 2009-2019 The MathJax Consortium * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/extensions/AssistiveMML.js b/extensions/AssistiveMML.js index 935fcc62ea..77c51fea43 100644 --- a/extensions/AssistiveMML.js +++ b/extensions/AssistiveMML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.5",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); +(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])}); diff --git a/extensions/FontWarnings.js b/extensions/FontWarnings.js index baac36562d..bbfec1484c 100644 --- a/extensions/FontWarnings.js +++ b/extensions/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(b,d){var i="2.7.5";var a="http://www.stixfonts.org/";var f="https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";var h=b.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],["webFont","MathJax is using web-based fonts to display the mathematics on this page. These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder."],["fonts"]],imageFonts:[["closeBox"],["imageFonts","MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer."],["fonts"],["webFonts"]],noFonts:[["closeBox"],["noFonts","MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them. Some characters may not show up properly, or possibly not at all."],["fonts"],["webFonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webFonts:[["p"],["webFonts","Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page."]],fonts:[["p"],["fonts","MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2). Download and install one of those fonts to improve your MathJax experience.",a,f]],STIXfonts:[["p"],["STIXPage","This page is designed to use the [STIX fonts](%1). Download and install those fonts to improve your MathJax experience.",a]],TeXfonts:[["p"],["TeXPage","This page is designed to use the [MathJax TeX fonts](%1). Download and install those fonts to improve your MathJax experience.",f]]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame")||n;if(n!==document.body){h.messageStyle.position="absolute"}}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame")||n;if(n!==document.body){h.messageStyle.position="absolute"}}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k1?z/h:1);C=Math.floor(Math.max(this.config.minScaleAdjust/100,C)*this.config.scale);if(C/100!==g.scale){o.push([v.style,C])}g.scale=C/100;g.fontScale=C+"%";g.ex=z;g.mex=h}if("scrollWidth" in g&&(r||g.scrollWidth!==k.firstChild.scrollWidth)){g.scrollWidth=k.firstChild.scrollWidth;t.push([k.parentNode.style,g.scrollWidth/g.ex/g.scale])}if(k.MathJaxMtds){for(var u=0,p=k.MathJaxMtds.length;u1?z/h:1);C=Math.floor(Math.max(this.config.minScaleAdjust/100,C)*this.config.scale);if(C/100!==g.scale){o.push([v.style,C])}g.scale=C/100;g.fontScale=C+"%";g.ex=z;g.mex=h}if("scrollWidth" in g&&(r||g.scrollWidth!==k.firstChild.scrollWidth)){g.scrollWidth=k.firstChild.scrollWidth;t.push([k.parentNode.style,g.scrollWidth/g.ex/g.scale])}if(k.MathJaxMtds){for(var u=0,p=k.MathJaxMtds.length;u0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last=0){h=a.cloneNode(h,true)}var i=a.cloneNode(h);for(var g=0,f=h.childNodes.length;g1){a.applyTransform(o,p[0],g)}a.appendToken(o,"mo",f);if(p.length>0){var q=p[(p.length===1)?0:1];a.applyTransform(o,q,g)}if(k){a.appendToken(o,"mo",")")}n.appendChild(o)}},infix:function(f,g){return function(r,k,o,t,i,p,h){var s=a.createElement("mrow");var n=h>g;if(n){a.appendToken(s,"mo","(")}for(var q=0,m=t.length;q0){a.appendToken(s,"mo",f)}a.applyTransform(s,t[q],g)}if(n){a.appendToken(s,"mo",")")}r.appendChild(s)}},iteration:function(f,g){return function(q,y,C,l,h,u,m){var t=a.createElement("mrow");var x=a.createElement("mo");a.setTextContent(x,f);var o=a.createElement("munderover");o.appendChild(x);var k=a.createElement("mrow");var A,w,v,B,n,s,z,r;for(A=0,v=u.length;A0){a.appendToken(y,"mo",",")}n=a.getChildren(t);if(n.length){a.applyTransform(y,n[0],0)}}var x=a.createElement("mrow");var A=false;for(v=0,p=s.length;v0){a.appendToken(n,"mo",",")}a.applyTransform(n,s[p],0)}if(o.length){a.appendToken(n,"mo","|");for(p=0,k=o.length;p",1),lt:a.transforms.infix("<",1),geq:a.transforms.infix("\u2265",1),leq:a.transforms.infix("\u2264",1),equivalent:a.transforms.infix("\u2261",1),approx:a.transforms.infix("\u2248",1),subset:a.transforms.infix("\u2286",2),prsubset:a.transforms.infix("\u2282",2),cartesianproduct:a.transforms.infix("\u00D7",2),cartesian_product:a.transforms.infix("\u00D7",2),vectorproduct:a.transforms.infix("\u00D7",2),scalarproduct:a.transforms.infix(".",2),outerproduct:a.transforms.infix("\u2297",2),sum:a.transforms.iteration("\u2211","="),product:a.transforms.iteration("\u220F","="),forall:a.transforms.bind("\u2200",".",","),exists:a.transforms.bind("\u2203",".",","),lambda:a.transforms.bind("\u03BB",".",","),limit:a.transforms.iteration("lim","\u2192"),sdev:a.transforms.fn("\u03c3"),determinant:a.transforms.fn("det"),max:a.transforms.minmax("max"),min:a.transforms.minmax("min"),real:a.transforms.fn("\u211b"),imaginary:a.transforms.fn("\u2111"),set:a.transforms.set("{","}"),list:a.transforms.set("(",")"),exp:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.appendToken(l,"mi","e");a.applyTransform(l,j[0],0);h.appendChild(l)},union:function(h,k,g,j,i,l,f){if(i.length){a.transforms.iteration("\u22C3","=")(h,k,g,j,i,l,f)}else{a.transforms.infix("\u222A",2)(h,k,g,j,i,l,f)}},intersect:function(q,i,n,s,g,o,f){if(g.length){a.transforms.iteration("\u22C2","=")(q,i,n,s,g,o,f)}else{var r=a.createElement("mrow");var m=f>2;if(m){a.appendToken(r,"mo","(")}for(var p=0,k=s.length;p0){a.appendToken(r,"mo","\u2229");if(s[p].nodeName==="apply"){var h=a.getChildren(s[p])[0];t=h.nodeName==="union"}}if(t){a.appendToken(r,"mo","(")}a.applyTransform(r,s[p],2);if(t){a.appendToken(r,"mo",")")}}if(m){a.appendToken(r,"mo",")")}q.appendChild(r)}},floor:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u230a");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u230b");h.appendChild(i)},conjugate:function(h,l,g,k,j,m,f){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)},abs:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},and:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c0","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2227",2)(h,k,g,j,i,l,f)}},or:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c1","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2228",2)(h,k,g,j,i,l,f)}},xor:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("xor","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("xor",2)(h,k,g,j,i,l,f)}},card:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},mean:function(h,l,g,k,j,m,f){if(k.length===1){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)}else{h.appendChild(a.createmfenced(k,"\u27e8","\u27e9"))}},moment:function(s,k,o,w,g,p,f){var n,v,h,r,q,m;for(r=0,m=p.length;r1){y.appendChild(a.createmfenced(w,"(",")"))}else{a.applyTransform(y,w[0],0)}if(n){var x=a.createElement("msup");x.appendChild(y);h=a.getChildren(n);for(q=0,m=h.length;q3;if(k){a.appendToken(q,"mo","(")}for(var o=0,i=r.length;o0){a.appendToken(q,"mo",(r[o].nodeName==="cn")?"\u00D7":"\u2062")}a.applyTransform(q,r[o],3)}if(k){a.appendToken(q,"mo",")")}p.appendChild(q)},plus:function(s,k,p,u,g,q,f){var t=a.createElement("mrow");var o=f>2;if(o){a.appendToken(t,"mo","(")}for(var r=0,m=u.length;r0){var i;if(a.settings.collapsePlusMinus){if(v.nodeName==="cn"&&!(h.length)&&(i=Number(a.getTextContent(v)))<0){a.appendToken(t,"mo","\u2212");a.appendToken(t,"mn",-i)}else{if(v.nodeName==="apply"&&h.length===2&&h[0].nodeName==="minus"){a.appendToken(t,"mo","\u2212");a.applyTransform(t,h[1],2)}else{if(v.nodeName==="apply"&&h.length>2&&h[0].nodeName==="times"&&h[1].nodeName==="cn"&&(i=Number(a.getTextContent(h[1])))<0){a.appendToken(t,"mo","\u2212");h[1].textContent=-i;a.applyTransform(t,v,2)}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}}}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}else{a.applyTransform(t,v,2)}}if(o){a.appendToken(t,"mo",")")}s.appendChild(t)},transpose:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],f);a.appendToken(l,"mi","T");h.appendChild(l)},power:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],3);a.applyTransform(l,j[1],f);h.appendChild(l)},selector:function(p,h,k,s,g,n,f){var r=a.createElement("msub");var q=s?s[0]:a.createElement("mrow");a.applyTransform(r,q,0);var m=a.createElement("mrow");for(var o=1,j=s.length;o1){a.applyTransform(i,k[1],0)}}a.appendToken(i,"mo","\u230B");h.appendChild(i)},factorial:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.applyTransform(i,k[0],4);a.appendToken(i,"mo","!");h.appendChild(i)},root:function(p,j,m,q,h,n,f){var g;if(m.nodeName==="root"&&(n.length===0||(n[0].nodeName==="degree"&&a.getTextContent(n[0])==="2"))){g=a.createElement("msqrt");for(var o=0,k=q.length;o1){var i=a.createElement("msup");a.applyTransform(i,j,0);a.appendToken(i,"mn",l);M.appendChild(i)}else{a.applyTransform(M,j,0)}}for(K=0,F=z.length;K0){if(x){a.appendToken(s,"mo","+")}a.appendToken(s,"mn",m)}}if(g.length){L=g[0]}for(K=0,F=f.length;K=0){h=a.cloneNode(h,true)}var i=a.cloneNode(h);for(var g=0,f=h.childNodes.length;g1){a.applyTransform(o,p[0],g)}a.appendToken(o,"mo",f);if(p.length>0){var q=p[(p.length===1)?0:1];a.applyTransform(o,q,g)}if(k){a.appendToken(o,"mo",")")}n.appendChild(o)}},infix:function(f,g){return function(r,k,o,t,i,p,h){var s=a.createElement("mrow");var n=h>g;if(n){a.appendToken(s,"mo","(")}for(var q=0,m=t.length;q0){a.appendToken(s,"mo",f)}a.applyTransform(s,t[q],g)}if(n){a.appendToken(s,"mo",")")}r.appendChild(s)}},iteration:function(f,g){return function(q,y,C,l,h,u,m){var t=a.createElement("mrow");var x=a.createElement("mo");a.setTextContent(x,f);var o=a.createElement("munderover");o.appendChild(x);var k=a.createElement("mrow");var A,w,v,B,n,s,z,r;for(A=0,v=u.length;A0){a.appendToken(y,"mo",",")}n=a.getChildren(t);if(n.length){a.applyTransform(y,n[0],0)}}var x=a.createElement("mrow");var A=false;for(v=0,p=s.length;v0){a.appendToken(n,"mo",",")}a.applyTransform(n,s[p],0)}if(o.length){a.appendToken(n,"mo","|");for(p=0,k=o.length;p",1),lt:a.transforms.infix("<",1),geq:a.transforms.infix("\u2265",1),leq:a.transforms.infix("\u2264",1),equivalent:a.transforms.infix("\u2261",1),approx:a.transforms.infix("\u2248",1),subset:a.transforms.infix("\u2286",2),prsubset:a.transforms.infix("\u2282",2),cartesianproduct:a.transforms.infix("\u00D7",2),cartesian_product:a.transforms.infix("\u00D7",2),vectorproduct:a.transforms.infix("\u00D7",2),scalarproduct:a.transforms.infix(".",2),outerproduct:a.transforms.infix("\u2297",2),sum:a.transforms.iteration("\u2211","="),product:a.transforms.iteration("\u220F","="),forall:a.transforms.bind("\u2200",".",","),exists:a.transforms.bind("\u2203",".",","),lambda:a.transforms.bind("\u03BB",".",","),limit:a.transforms.iteration("lim","\u2192"),sdev:a.transforms.fn("\u03c3"),determinant:a.transforms.fn("det"),max:a.transforms.minmax("max"),min:a.transforms.minmax("min"),real:a.transforms.fn("\u211b"),imaginary:a.transforms.fn("\u2111"),set:a.transforms.set("{","}"),list:a.transforms.set("(",")"),exp:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.appendToken(l,"mi","e");a.applyTransform(l,j[0],0);h.appendChild(l)},union:function(h,k,g,j,i,l,f){if(i.length){a.transforms.iteration("\u22C3","=")(h,k,g,j,i,l,f)}else{a.transforms.infix("\u222A",2)(h,k,g,j,i,l,f)}},intersect:function(q,i,n,s,g,o,f){if(g.length){a.transforms.iteration("\u22C2","=")(q,i,n,s,g,o,f)}else{var r=a.createElement("mrow");var m=f>2;if(m){a.appendToken(r,"mo","(")}for(var p=0,k=s.length;p0){a.appendToken(r,"mo","\u2229");if(s[p].nodeName==="apply"){var h=a.getChildren(s[p])[0];t=h.nodeName==="union"}}if(t){a.appendToken(r,"mo","(")}a.applyTransform(r,s[p],2);if(t){a.appendToken(r,"mo",")")}}if(m){a.appendToken(r,"mo",")")}q.appendChild(r)}},floor:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u230a");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u230b");h.appendChild(i)},conjugate:function(h,l,g,k,j,m,f){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)},abs:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},and:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c0","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2227",2)(h,k,g,j,i,l,f)}},or:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c1","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2228",2)(h,k,g,j,i,l,f)}},xor:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("xor","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("xor",2)(h,k,g,j,i,l,f)}},card:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},mean:function(h,l,g,k,j,m,f){if(k.length===1){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)}else{h.appendChild(a.createmfenced(k,"\u27e8","\u27e9"))}},moment:function(s,k,o,w,g,p,f){var n,v,h,r,q,m;for(r=0,m=p.length;r1){y.appendChild(a.createmfenced(w,"(",")"))}else{a.applyTransform(y,w[0],0)}if(n){var x=a.createElement("msup");x.appendChild(y);h=a.getChildren(n);for(q=0,m=h.length;q3;if(k){a.appendToken(q,"mo","(")}for(var o=0,i=r.length;o0){a.appendToken(q,"mo",(r[o].nodeName==="cn")?"\u00D7":"\u2062")}a.applyTransform(q,r[o],3)}if(k){a.appendToken(q,"mo",")")}p.appendChild(q)},plus:function(s,k,p,u,g,q,f){var t=a.createElement("mrow");var o=f>2;if(o){a.appendToken(t,"mo","(")}for(var r=0,m=u.length;r0){var i;if(a.settings.collapsePlusMinus){if(v.nodeName==="cn"&&!(h.length)&&(i=Number(a.getTextContent(v)))<0){a.appendToken(t,"mo","\u2212");a.appendToken(t,"mn",-i)}else{if(v.nodeName==="apply"&&h.length===2&&h[0].nodeName==="minus"){a.appendToken(t,"mo","\u2212");a.applyTransform(t,h[1],2)}else{if(v.nodeName==="apply"&&h.length>2&&h[0].nodeName==="times"&&h[1].nodeName==="cn"&&(i=Number(a.getTextContent(h[1])))<0){a.appendToken(t,"mo","\u2212");h[1].textContent=-i;a.applyTransform(t,v,2)}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}}}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}else{a.applyTransform(t,v,2)}}if(o){a.appendToken(t,"mo",")")}s.appendChild(t)},transpose:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],f);a.appendToken(l,"mi","T");h.appendChild(l)},power:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],3);a.applyTransform(l,j[1],f);h.appendChild(l)},selector:function(p,h,k,s,g,n,f){var r=a.createElement("msub");var q=s?s[0]:a.createElement("mrow");a.applyTransform(r,q,0);var m=a.createElement("mrow");for(var o=1,j=s.length;o1){a.applyTransform(i,k[1],0)}}a.appendToken(i,"mo","\u230B");h.appendChild(i)},factorial:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.applyTransform(i,k[0],4);a.appendToken(i,"mo","!");h.appendChild(i)},root:function(p,j,m,q,h,n,f){var g;if(m.nodeName==="root"&&(n.length===0||(n[0].nodeName==="degree"&&a.getTextContent(n[0])==="2"))){g=a.createElement("msqrt");for(var o=0,k=q.length;o1){var i=a.createElement("msup");a.applyTransform(i,j,0);a.appendToken(i,"mn",l);M.appendChild(i)}else{a.applyTransform(M,j,0)}}for(K=0,F=z.length;K0){if(x){a.appendToken(s,"mo","+")}a.appendToken(s,"mn",m)}}if(g.length){L=g[0]}for(K=0,F=f.length;K ltr ) ( ] [ } { ) ( ] [ } { \ )(}{><∋∈ top right 0 decimalpoint decimalpoint . decimalpoint * 0.1em 0.15em 0.2em 0.15em 0 ) ( / : = top ) ';var b;if(window.XSLTProcessor){if(!d.ParseXML){d.ParseXML=d.createParser()}d.mml3XSLT=new XSLTProcessor();d.mml3XSLT.importStylesheet(d.ParseXML(e))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")||(document.documentMode||0)>=9){b=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");b.loadXML(e);var a=new ActiveXObject("Msxml2.XSLTemplate");a.stylesheet=b;d.mml3XSLT={mml3:a.createProcessor(),transformToDocument:function(h){this.mml3.input=h;this.mml3.transform();return this.mml3.output}}}else{b=d.createMSParser();b.async=false;b.loadXML(e);d.mml3XSLT={mml3:b,transformToDocument:function(h){return h.documentElement.transformNode(this.mml3)}}}}else{d.mml3XSLT=null}}MathJax.Ajax.Styles({".MathJax .mi, .MathJax .mo, .MathJax .mn, .MathJax .mtext":{direction:"ltr",display:"inline-block"},".MathJax .ms, .MathJax .mspace, .MathJax .mglyph":{direction:"ltr",display:"inline-block"}});MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js"); +MathJax.Extension["MathML/mml3"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var d=MathJax.InputJax.MathML,g=d.Parse.prototype;d.prefilterHooks.Add(function(j){if(!d.mml3XSLT){return}if(!d.ParseXML){d.ParseXML=d.createParser()}var k=d.ParseXML(g.preProcessMath(j.math));var i=d.mml3XSLT.transformToDocument(k);if((typeof i)==="string"){j.math=i}else{if(window.XMLSerializer){var h=new XMLSerializer();j.math=h.serializeToString(i.documentElement,k)}}});var f=MathJax.Hub.Browser;var c="";if(f.isEdge||f.isMSIE){c="urn:schemas-microsoft-com:xslt"}else{c="http://exslt.org/common"}var e=' ltr ) ( ] [ } { ) ( ] [ } { \ )(}{><∋∈ top right 0 decimalpoint decimalpoint . decimalpoint * 0.1em 0.15em 0.2em 0.15em 0 ) ( / : = top ) ';var b;if(window.XSLTProcessor){if(!d.ParseXML){d.ParseXML=d.createParser()}d.mml3XSLT=new XSLTProcessor();d.mml3XSLT.importStylesheet(d.ParseXML(e))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")||(document.documentMode||0)>=9){b=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");b.loadXML(e);var a=new ActiveXObject("Msxml2.XSLTemplate");a.stylesheet=b;d.mml3XSLT={mml3:a.createProcessor(),transformToDocument:function(h){this.mml3.input=h;this.mml3.transform();return this.mml3.output}}}else{b=d.createMSParser();b.async=false;b.loadXML(e);d.mml3XSLT={mml3:b,transformToDocument:function(h){return h.documentElement.transformNode(this.mml3)}}}}else{d.mml3XSLT=null}}MathJax.Ajax.Styles({".MathJax .mi, .MathJax .mo, .MathJax .mn, .MathJax .mtext":{direction:"ltr",display:"inline-block"},".MathJax .ms, .MathJax .mspace, .MathJax .mglyph":{direction:"ltr",display:"inline-block"}});MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js"); diff --git a/extensions/MathMenu.js b/extensions/MathMenu.js index 0018b80c5c..1896c3b8a0 100644 --- a/extensions/MathMenu.js +++ b/extensions/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(f,o,q,e,r){var p="2.7.5";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;NA-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v/g,">");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("
");u.document.write("");u.document.close()}else{u.document.open();u.document.write(""+y+"");u.document.write("
"+z+"
");u.document.write("");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;xt){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); +(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML); diff --git a/extensions/Safe.js b/extensions/Safe.js index 34c7d74169..f2777920f5 100644 --- a/extensions/Safe.js +++ b/extensions/Safe.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(d,c){var f="2.7.5";var a=MathJax.Hub.CombineConfig("Safe",{allow:{URLs:"safe",classes:"safe",cssIDs:"safe",styles:"safe",fontsize:"all",require:"safe"},sizeMin:0.7,sizeMax:1.44,lengthMax:3,safeProtocols:{http:true,https:true,file:true,javascript:false},safeStyles:{color:true,backgroundColor:true,border:true,cursor:true,margin:true,padding:true,textShadow:true,fontFamily:true,fontSize:true,fontStyle:true,fontWeight:true,opacity:true,outline:true},safeRequire:{action:true,amscd:true,amsmath:true,amssymbols:true,autobold:false,"autoload-all":false,bbox:true,begingroup:true,boldsymbol:true,cancel:true,color:true,enclose:true,extpfeil:true,HTML:true,mathchoice:true,mhchem:true,newcommand:true,noErrors:false,noUndefined:false,unicode:true,verb:true},styleParts:{border:true,padding:true,margin:true,outline:true},styleLengths:{borderTop:"borderTopWidth",borderRight:"borderRightWidth",borderBottom:"borderBottomWidth",borderLeft:"borderLeftWidth",paddingTop:true,paddingRight:true,paddingBottom:true,paddingLeft:true,marginTop:true,marginRight:true,marginBottom:true,marginLeft:true,outlineTop:true,outlineRight:true,outlineBottom:true,outlineLeft:true,fontSize:[0.7,1.44]}});var e=a.allow;if(e.fontsize!=="all"){a.safeStyles.fontSize=false}var b=MathJax.Extension.Safe={version:f,config:a,div1:document.createElement("div"),div2:document.createElement("div"),filter:{href:"filterURL",src:"filterURL",altimg:"filterURL","class":"filterClass",style:"filterStyles",id:"filterID",fontsize:"filterFontSize",mathsize:"filterFontSize",scriptminsize:"filterFontSize",scriptsizemultiplier:"filterSizeMultiplier",scriptlevel:"filterScriptLevel"},filterURL:function(g){var h=(g.match(/^\s*([a-z]+):/i)||[null,""])[1].toLowerCase();if(e.URLs==="none"||(e.URLs!=="all"&&!a.safeProtocols[h])){g=null}return g},filterClass:function(g){if(e.classes==="none"||(e.classes!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterID:function(g){if(e.cssIDs==="none"||(e.cssIDs!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterStyles:function(l){if(e.styles==="all"){return l}if(e.styles==="none"){return null}try{var k=this.div1.style,j=this.div2.style,m;k.cssText=l;j.cssText="";for(var g in a.safeStyles){if(a.safeStyles.hasOwnProperty(g)){if(a.styleParts[g]){for(var h=0;h<4;h++){var o=g+["Top","Right","Bottom","Left"][h];m=this.filterStyle(o,k);if(m){j[o]=m}}}else{m=this.filterStyle(g,k);if(m){j[g]=m}}}}l=j.cssText}catch(n){l=null}return l},filterStyle:function(g,h){var i=h[g];if(typeof i!=="string"||i===""){return null}if(i.match(/^\s*expression/)){return null}if(i.match(/javascript:/)){return null}var j=g.replace(/Top|Right|Left|Bottom/,"");if(!a.safeStyles[g]&&!a.safeStyles[j]){return null}if(!a.styleLengths[g]){return i}return(this.filterStyleLength(g,i,h)?i:null)},filterStyleLength:function(g,i,h){if(typeof a.styleLengths[g]==="string"){i=h[a.styleLengths[g]]}i=this.length2em(i);if(i==null){return false}var j=[-a.lengthMax,a.lengthMax];if(MathJax.Object.isArray(a.styleLengths[g])){j=a.styleLengths[g]}return(i>=j[0]&&i<=j[1])},unit2em:{em:1,ex:0.5,ch:0.5,rem:1,px:1/16,mm:96/25.4/16,cm:96/2.54/16,"in":96/16,pt:96/72/16,pc:96/6/16},length2em:function(h){var g=h.match(/(.+)(em|ex|ch|rem|px|mm|cm|in|pt|pc)/);if(!g){return null}return parseFloat(g[1])*this.unit2em[g[2]]},filterSize:function(g){if(e.fontsize==="none"){return null}if(e.fontsize!=="all"){g=Math.min(Math.max(g,a.sizeMin),a.sizeMax)}return g},filterFontSize:function(g){return(e.fontsize==="all"?g:null)},filterSizeMultiplier:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.min(1,Math.max(0.6,g)).toString()}}return g},filterScriptLevel:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.max(0,g).toString()}}return g},filterRequire:function(g){if(e.require==="none"||(e.require!=="all"&&!a.safeRequire[g.toLowerCase()])){g=null}return g}};d.Register.StartupHook("TeX HTML Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({HREF_attribute:function(j){var i=b.filterURL(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({href:i})}this.Push(h)},CLASS_attribute:function(i){var j=b.filterClass(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h["class"]!=null){j=h["class"]+" "+j}h.With({"class":j})}this.Push(h)},STYLE_attribute:function(i){var j=b.filterStyles(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h.style!=null){if(j.charAt(j.length-1)!==";"){j+=";"}j=h.style+" "+j}h.With({style:j})}this.Push(h)},ID_attribute:function(j){var i=b.filterID(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({id:i})}this.Push(h)}})});d.Register.StartupHook("TeX Jax Ready",function(){var i=MathJax.InputJax.TeX,h=i.Parse,g=b.filter;h.Augment({Require:function(j){var k=this.GetArgument(j).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");k=b.filterRequire(k);if(k){this.Extension(null,k)}},MmlFilterAttribute:function(j,k){if(g[j]){k=b[g[j]](k)}return k},SetSize:function(j,k){k=b.filterSize(k);if(k){this.stack.env.size=k;this.Push(i.Stack.Item.style().With({styles:{mathsize:k+"em"}}))}}})});d.Register.StartupHook("TeX bbox Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({BBoxStyle:function(h){return b.filterStyles(h)},BBoxPadding:function(i){var h=b.filterStyles("padding: "+i);return(h?i:0)}})});d.Register.StartupHook("MathML Jax Ready",function(){var h=MathJax.InputJax.MathML.Parse,g=b.filter;h.Augment({filterAttribute:function(i,j){if(g[i]){j=b[g[i]](j)}return j}})});d.Startup.signal.Post("Safe Extension Ready");c.loadComplete("[MathJax]/extensions/Safe.js")})(MathJax.Hub,MathJax.Ajax); +(function(d,c){var f="2.7.6";var a=MathJax.Hub.CombineConfig("Safe",{allow:{URLs:"safe",classes:"safe",cssIDs:"safe",styles:"safe",fontsize:"all",require:"safe"},sizeMin:0.7,sizeMax:1.44,lengthMax:3,safeProtocols:{http:true,https:true,file:true,javascript:false},safeStyles:{color:true,backgroundColor:true,border:true,cursor:true,margin:true,padding:true,textShadow:true,fontFamily:true,fontSize:true,fontStyle:true,fontWeight:true,opacity:true,outline:true},safeRequire:{action:true,amscd:true,amsmath:true,amssymbols:true,autobold:false,"autoload-all":false,bbox:true,begingroup:true,boldsymbol:true,cancel:true,color:true,enclose:true,extpfeil:true,HTML:true,mathchoice:true,mhchem:true,newcommand:true,noErrors:false,noUndefined:false,unicode:true,verb:true},styleParts:{border:true,padding:true,margin:true,outline:true},styleLengths:{borderTop:"borderTopWidth",borderRight:"borderRightWidth",borderBottom:"borderBottomWidth",borderLeft:"borderLeftWidth",paddingTop:true,paddingRight:true,paddingBottom:true,paddingLeft:true,marginTop:true,marginRight:true,marginBottom:true,marginLeft:true,outlineTop:true,outlineRight:true,outlineBottom:true,outlineLeft:true,fontSize:[0.7,1.44]}});var e=a.allow;if(e.fontsize!=="all"){a.safeStyles.fontSize=false}var b=MathJax.Extension.Safe={version:f,config:a,div1:document.createElement("div"),div2:document.createElement("div"),filter:{href:"filterURL",src:"filterURL",altimg:"filterURL","class":"filterClass",style:"filterStyles",id:"filterID",fontsize:"filterFontSize",mathsize:"filterFontSize",scriptminsize:"filterFontSize",scriptsizemultiplier:"filterSizeMultiplier",scriptlevel:"filterScriptLevel"},filterURL:function(g){var h=(g.match(/^\s*([a-z]+):/i)||[null,""])[1].toLowerCase();if(e.URLs==="none"||(e.URLs!=="all"&&!a.safeProtocols[h])){g=null}return g},filterClass:function(g){if(e.classes==="none"||(e.classes!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterID:function(g){if(e.cssIDs==="none"||(e.cssIDs!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterStyles:function(l){if(e.styles==="all"){return l}if(e.styles==="none"){return null}try{var k=this.div1.style,j=this.div2.style,m;k.cssText=l;j.cssText="";for(var g in a.safeStyles){if(a.safeStyles.hasOwnProperty(g)){if(a.styleParts[g]){for(var h=0;h<4;h++){var o=g+["Top","Right","Bottom","Left"][h];m=this.filterStyle(o,k);if(m){j[o]=m}}}else{m=this.filterStyle(g,k);if(m){j[g]=m}}}}l=j.cssText}catch(n){l=null}return l},filterStyle:function(g,h){var i=h[g];if(typeof i!=="string"||i===""){return null}if(i.match(/^\s*expression/)){return null}if(i.match(/javascript:/)){return null}var j=g.replace(/Top|Right|Left|Bottom/,"");if(!a.safeStyles[g]&&!a.safeStyles[j]){return null}if(!a.styleLengths[g]){return i}return(this.filterStyleLength(g,i,h)?i:null)},filterStyleLength:function(g,i,h){if(typeof a.styleLengths[g]==="string"){i=h[a.styleLengths[g]]}i=this.length2em(i);if(i==null){return false}var j=[-a.lengthMax,a.lengthMax];if(MathJax.Object.isArray(a.styleLengths[g])){j=a.styleLengths[g]}return(i>=j[0]&&i<=j[1])},unit2em:{em:1,ex:0.5,ch:0.5,rem:1,px:1/16,mm:96/25.4/16,cm:96/2.54/16,"in":96/16,pt:96/72/16,pc:96/6/16},length2em:function(h){var g=h.match(/(.+)(em|ex|ch|rem|px|mm|cm|in|pt|pc)/);if(!g){return null}return parseFloat(g[1])*this.unit2em[g[2]]},filterSize:function(g){if(e.fontsize==="none"){return null}if(e.fontsize!=="all"){g=Math.min(Math.max(g,a.sizeMin),a.sizeMax)}return g},filterFontSize:function(g){return(e.fontsize==="all"?g:null)},filterSizeMultiplier:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.min(1,Math.max(0.6,g)).toString()}}return g},filterScriptLevel:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.max(0,g).toString()}}return g},filterRequire:function(g){if(e.require==="none"||(e.require!=="all"&&!a.safeRequire[g.toLowerCase()])){g=null}return g}};d.Register.StartupHook("TeX HTML Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({HREF_attribute:function(j){var i=b.filterURL(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({href:i})}this.Push(h)},CLASS_attribute:function(i){var j=b.filterClass(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h["class"]!=null){j=h["class"]+" "+j}h.With({"class":j})}this.Push(h)},STYLE_attribute:function(i){var j=b.filterStyles(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h.style!=null){if(j.charAt(j.length-1)!==";"){j+=";"}j=h.style+" "+j}h.With({style:j})}this.Push(h)},ID_attribute:function(j){var i=b.filterID(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({id:i})}this.Push(h)}})});d.Register.StartupHook("TeX Jax Ready",function(){var i=MathJax.InputJax.TeX,h=i.Parse,g=b.filter;h.Augment({Require:function(j){var k=this.GetArgument(j).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");k=b.filterRequire(k);if(k){this.Extension(null,k)}},MmlFilterAttribute:function(j,k){if(g[j]){k=b[g[j]](k)}return k},SetSize:function(j,k){k=b.filterSize(k);if(k){this.stack.env.size=k;this.Push(i.Stack.Item.style().With({styles:{mathsize:k+"em"}}))}}})});d.Register.StartupHook("TeX bbox Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({BBoxStyle:function(h){return b.filterStyles(h)},BBoxPadding:function(i){var h=b.filterStyles("padding: "+i);return(h?i:0)}})});d.Register.StartupHook("MathML Jax Ready",function(){var h=MathJax.InputJax.MathML.Parse,g=b.filter;h.Augment({filterAttribute:function(i,j){if(g[i]){j=b[g[i]](j)}return j}})});d.Startup.signal.Post("Safe Extension Ready");c.loadComplete("[MathJax]/extensions/Safe.js")})(MathJax.Hub,MathJax.Ajax); diff --git a/extensions/TeX/AMScd.js b/extensions/TeX/AMScd.js index 3a30fdc2be..165f53af71 100644 --- a/extensions/TeX/AMScd.js +++ b/extensions/TeX/AMScd.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/AMScd"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[>":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js"); +MathJax.Extension["TeX/AMScd"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[>":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js"); diff --git a/extensions/TeX/AMSmath.js b/extensions/TeX/AMSmath.js index 2504c5cb4b..9997fb8b72 100644 --- a/extensions/TeX/AMSmath.js +++ b/extensions/TeX/AMSmath.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/AMSmath"]={version:"2.7.5",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js"); +MathJax.Extension["TeX/begingroup"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f].hasOwnProperty(e)){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js"); diff --git a/extensions/TeX/boldsymbol.js b/extensions/TeX/boldsymbol.js index b3a5dbaf29..63f2545928 100644 --- a/extensions/TeX/boldsymbol.js +++ b/extensions/TeX/boldsymbol.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/boldsymbol"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js"); +MathJax.Extension["TeX/boldsymbol"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js"); diff --git a/extensions/TeX/cancel.js b/extensions/TeX/cancel.js index 2b8424e654..ee2d5bc647 100644 --- a/extensions/TeX/cancel.js +++ b/extensions/TeX/cancel.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/cancel"]={version:"2.7.5",ALLOWED:{color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors.hasOwnProperty(a)){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js"); +MathJax.Extension["TeX/color"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error(["UndefinedColorModel","Color model '%1' not defined",a])}return b.call(this,c)},get_rgb:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","rgb"])}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors.hasOwnProperty(a)){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js"); diff --git a/extensions/TeX/enclose.js b/extensions/TeX/enclose.js index 38273a2320..233da368ec 100644 --- a/extensions/TeX/enclose.js +++ b/extensions/TeX/enclose.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/enclose"]={version:"2.7.5",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h0){f=Math.min(3,e.scriptlevel+1)}else{f=(e.displaystyle?0:1)}var g=this.inherit;while(g&&g.type!=="math"){g=g.inherit}if(g){this.selection=f}this.choosing=false;return f},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e},toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLhandleColor(e);this.CHTMLaddChild(e,this.choice(),{});return e},toPreviewHTML:function(e){e=this.PHTMLcreateSpan(e);this.PHTMLhandleStyle(e);this.PHTMLhandleColor(e);this.PHTMLaddChild(e,this.choice(),{});return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js"); +MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection!=null){return this.selection}if(this.choosing){return 2}this.choosing=true;var f=0,e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){f=Math.min(3,e.scriptlevel+1)}else{f=(e.displaystyle?0:1)}var g=this.inherit;while(g&&g.type!=="math"){g=g.inherit}if(g){this.selection=f}this.choosing=false;return f},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e},toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLhandleColor(e);this.CHTMLaddChild(e,this.choice(),{});return e},toPreviewHTML:function(e){e=this.PHTMLcreateSpan(e);this.PHTMLhandleStyle(e);this.PHTMLhandleColor(e);this.PHTMLaddChild(e,this.choice(),{});return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js"); diff --git a/extensions/TeX/mediawiki-texvc.js b/extensions/TeX/mediawiki-texvc.js index 7318577bf1..bad2797fac 100644 --- a/extensions/TeX/mediawiki-texvc.js +++ b/extensions/TeX/mediawiki-texvc.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/mediawiki-texvc"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Definitions.Add({macros:{AA:["Macro","\u00c5"],alef:["Macro","\\aleph"],alefsym:["Macro","\\aleph"],Alpha:["Macro","\\mathrm{A}"],and:["Macro","\\land"],ang:["Macro","\\angle"],Bbb:["Macro","\\mathbb"],Beta:["Macro","\\mathrm{B}"],bold:["Macro","\\mathbf"],bull:["Macro","\\bullet"],C:["Macro","\\mathbb{C}"],Chi:["Macro","\\mathrm{X}"],clubs:["Macro","\\clubsuit"],cnums:["Macro","\\mathbb{C}"],Complex:["Macro","\\mathbb{C}"],coppa:["Macro","\u03D9"],Coppa:["Macro","\u03D8"],Dagger:["Macro","\\ddagger"],Digamma:["Macro","\u03DC"],darr:["Macro","\\downarrow"],dArr:["Macro","\\Downarrow"],Darr:["Macro","\\Downarrow"],dashint:["Macro","\\unicodeInt{x2A0D}"],ddashint:["Macro","\\unicodeInt{x2A0E}"],diamonds:["Macro","\\diamondsuit"],empty:["Macro","\\emptyset"],Epsilon:["Macro","\\mathrm{E}"],Eta:["Macro","\\mathrm{H}"],euro:["Macro","\u20AC"],exist:["Macro","\\exists"],geneuro:["Macro","\u20AC"],geneuronarrow:["Macro","\u20AC"],geneurowide:["Macro","\u20AC"],H:["Macro","\\mathbb{H}"],hAar:["Macro","\\Leftrightarrow"],harr:["Macro","\\leftrightarrow"],Harr:["Macro","\\Leftrightarrow"],hearts:["Macro","\\heartsuit"],image:["Macro","\\Im"],infin:["Macro","\\infty"],Iota:["Macro","\\mathrm{I}"],isin:["Macro","\\in"],Kappa:["Macro","\\mathrm{K}"],koppa:["Macro","\u03DF"],Koppa:["Macro","\u03DE"],lang:["Macro","\\langle"],larr:["Macro","\\leftarrow"],Larr:["Macro","\\Leftarrow"],lArr:["Macro","\\Leftarrow"],lrarr:["Macro","\\leftrightarrow"],Lrarr:["Macro","\\Leftrightarrow"],lrArr:["Macro","\\Leftrightarrow"],Mu:["Macro","\\mathrm{M}"],N:["Macro","\\mathbb{N}"],natnums:["Macro","\\mathbb{N}"],Nu:["Macro","\\mathrm{N}"],O:["Macro","\\emptyset"],oint:["Macro","\\unicodeInt{x222E}"],oiint:["Macro","\\unicodeInt{x222F}"],oiiint:["Macro","\\unicodeInt{x2230}"],ointctrclockwise:["Macro","\\unicodeInt{x2233}"],officialeuro:["Macro","\u20AC"],Omicron:["Macro","\\mathrm{O}"],or:["Macro","\\lor"],P:["Macro","\u00B6"],pagecolor:["Macro","",1],part:["Macro","\\partial"],plusmn:["Macro","\\pm"],Q:["Macro","\\mathbb{Q}"],R:["Macro","\\mathbb{R}"],rang:["Macro","\\rangle"],rarr:["Macro","\\rightarrow"],Rarr:["Macro","\\Rightarrow"],rArr:["Macro","\\Rightarrow"],real:["Macro","\\Re"],reals:["Macro","\\mathbb{R}"],Reals:["Macro","\\mathbb{R}"],Rho:["Macro","\\mathrm{P}"],sdot:["Macro","\\cdot"],sampi:["Macro","\u03E1"],Sampi:["Macro","\u03E0"],sect:["Macro","\\S"],spades:["Macro","\\spadesuit"],stigma:["Macro","\u03DB"],Stigma:["Macro","\u03DA"],sub:["Macro","\\subset"],sube:["Macro","\\subseteq"],supe:["Macro","\\supseteq"],Tau:["Macro","\\mathrm{T}"],textvisiblespace:["Macro","\u2423"],thetasym:["Macro","\\vartheta"],uarr:["Macro","\\uparrow"],uArr:["Macro","\\Uparrow"],Uarr:["Macro","\\Uparrow"],unicodeInt:["Macro","\\mathop{\\vcenter{\\mathchoice{\\huge\\unicode{#1}\\,}{\\unicode{#1}}{\\unicode{#1}}{\\unicode{#1}}}\\,}\\nolimits",1],varcoppa:["Macro","\u03D9"],varstigma:["Macro","\u03DB"],varointclockwise:["Macro","\\unicodeInt{x2232}"],vline:["Macro","\\smash{\\large\\lvert}",0],weierp:["Macro","\\wp"],Z:["Macro","\\mathbb{Z}"],Zeta:["Macro","\\mathrm{Z}"]}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mediawiki-texvc.js"); +MathJax.Extension["TeX/mediawiki-texvc"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Definitions.Add({macros:{AA:["Macro","\u00c5"],alef:["Macro","\\aleph"],alefsym:["Macro","\\aleph"],Alpha:["Macro","\\mathrm{A}"],and:["Macro","\\land"],ang:["Macro","\\angle"],Bbb:["Macro","\\mathbb"],Beta:["Macro","\\mathrm{B}"],bold:["Macro","\\mathbf"],bull:["Macro","\\bullet"],C:["Macro","\\mathbb{C}"],Chi:["Macro","\\mathrm{X}"],clubs:["Macro","\\clubsuit"],cnums:["Macro","\\mathbb{C}"],Complex:["Macro","\\mathbb{C}"],coppa:["Macro","\u03D9"],Coppa:["Macro","\u03D8"],Dagger:["Macro","\\ddagger"],Digamma:["Macro","\u03DC"],darr:["Macro","\\downarrow"],dArr:["Macro","\\Downarrow"],Darr:["Macro","\\Downarrow"],dashint:["Macro","\\unicodeInt{x2A0D}"],ddashint:["Macro","\\unicodeInt{x2A0E}"],diamonds:["Macro","\\diamondsuit"],empty:["Macro","\\emptyset"],Epsilon:["Macro","\\mathrm{E}"],Eta:["Macro","\\mathrm{H}"],euro:["Macro","\u20AC"],exist:["Macro","\\exists"],geneuro:["Macro","\u20AC"],geneuronarrow:["Macro","\u20AC"],geneurowide:["Macro","\u20AC"],H:["Macro","\\mathbb{H}"],hAar:["Macro","\\Leftrightarrow"],harr:["Macro","\\leftrightarrow"],Harr:["Macro","\\Leftrightarrow"],hearts:["Macro","\\heartsuit"],image:["Macro","\\Im"],infin:["Macro","\\infty"],Iota:["Macro","\\mathrm{I}"],isin:["Macro","\\in"],Kappa:["Macro","\\mathrm{K}"],koppa:["Macro","\u03DF"],Koppa:["Macro","\u03DE"],lang:["Macro","\\langle"],larr:["Macro","\\leftarrow"],Larr:["Macro","\\Leftarrow"],lArr:["Macro","\\Leftarrow"],lrarr:["Macro","\\leftrightarrow"],Lrarr:["Macro","\\Leftrightarrow"],lrArr:["Macro","\\Leftrightarrow"],Mu:["Macro","\\mathrm{M}"],N:["Macro","\\mathbb{N}"],natnums:["Macro","\\mathbb{N}"],Nu:["Macro","\\mathrm{N}"],O:["Macro","\\emptyset"],oint:["Macro","\\unicodeInt{x222E}"],oiint:["Macro","\\unicodeInt{x222F}"],oiiint:["Macro","\\unicodeInt{x2230}"],ointctrclockwise:["Macro","\\unicodeInt{x2233}"],officialeuro:["Macro","\u20AC"],Omicron:["Macro","\\mathrm{O}"],or:["Macro","\\lor"],P:["Macro","\u00B6"],pagecolor:["Macro","",1],part:["Macro","\\partial"],plusmn:["Macro","\\pm"],Q:["Macro","\\mathbb{Q}"],R:["Macro","\\mathbb{R}"],rang:["Macro","\\rangle"],rarr:["Macro","\\rightarrow"],Rarr:["Macro","\\Rightarrow"],rArr:["Macro","\\Rightarrow"],real:["Macro","\\Re"],reals:["Macro","\\mathbb{R}"],Reals:["Macro","\\mathbb{R}"],Rho:["Macro","\\mathrm{P}"],sdot:["Macro","\\cdot"],sampi:["Macro","\u03E1"],Sampi:["Macro","\u03E0"],sect:["Macro","\\S"],spades:["Macro","\\spadesuit"],stigma:["Macro","\u03DB"],Stigma:["Macro","\u03DA"],sub:["Macro","\\subset"],sube:["Macro","\\subseteq"],supe:["Macro","\\supseteq"],Tau:["Macro","\\mathrm{T}"],textvisiblespace:["Macro","\u2423"],thetasym:["Macro","\\vartheta"],uarr:["Macro","\\uparrow"],uArr:["Macro","\\Uparrow"],Uarr:["Macro","\\Uparrow"],unicodeInt:["Macro","\\mathop{\\vcenter{\\mathchoice{\\huge\\unicode{#1}\\,}{\\unicode{#1}}{\\unicode{#1}}{\\unicode{#1}}}\\,}\\nolimits",1],varcoppa:["Macro","\u03D9"],varstigma:["Macro","\u03DB"],varointclockwise:["Macro","\\unicodeInt{x2232}"],vline:["Macro","\\smash{\\large\\lvert}",0],weierp:["Macro","\\wp"],Z:["Macro","\\mathbb{Z}"],Zeta:["Macro","\\mathrm{Z}"]}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mediawiki-texvc.js"); diff --git a/extensions/TeX/mhchem.js b/extensions/TeX/mhchem.js index 672d1fdc44..7901f0e5c6 100644 --- a/extensions/TeX/mhchem.js +++ b/extensions/TeX/mhchem.js @@ -16,4 +16,4 @@ * limitations under the License. */ -if(MathJax.Extension["TeX/mhchem"]){MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}else{MathJax.Extension["TeX/mhchem"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.mhchem",{legacy:true})};if(!MathJax.Extension["TeX/mhchem"].config.legacy){if(!MathJax.Ajax.config.path.mhchem){MathJax.Ajax.config.path.mhchem=MathJax.Hub.config.root+"/extensions/TeX/mhchem3"}MathJax.Callback.Queue(["Require",MathJax.Ajax,"[mhchem]/mhchem.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/mhchem.js"])}else{MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=MathJax.Object.Subclass({string:"",i:0,tex:"",TEX:"",atom:false,sup:"",sub:"",presup:"",presub:"",Init:function(c){this.string=c},ParseTable:{"-":"Minus","+":"Plus","(":"Open",")":"Close","[":"Open","]":"Close","<":"Less","^":"Superscript",_:"Subscript","*":"Dot",".":"Dot","=":"Equal","#":"Pound","$":"Math","\\":"Macro"," ":"Space"},Arrows:{"->":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<=>":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons","^":"uparrow",v:"downarrow"},Bonds:{"-":"-","=":"=","#":"\\equiv","~":"\\tripledash","~-":"\\begin{CEstack}{}\\tripledash\\\\-\\end{CEstack}","~=":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","~--":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","-~-":"\\raise2mu{\\begin{CEstack}{}-\\\\\\tripledash\\\\-\\end{CEstack}}","...":"{\\cdot}{\\cdot}{\\cdot}","....":"{\\cdot}{\\cdot}{\\cdot}{\\cdot}","->":"\\rightarrow","<-":"\\leftarrow","??":"\\text{??}"},Parse:function(){this.tex="";this.atom=false;while(this.i"){this.i+=2;this.AddArrow("->");return}else{this.tex+="{-}"}}this.i++},ParsePlus:function(d){if(this.atom){this.sup+=d}else{this.FinishAtom();this.tex+=d}this.i++},ParseDot:function(d){this.FinishAtom();this.tex+="\\cdot ";this.i++},ParseEqual:function(d){this.FinishAtom();this.tex+="{=}";this.i++},ParsePound:function(d){this.FinishAtom();this.tex+="{\\equiv}";this.i++},ParseOpen:function(e){this.FinishAtom();var d=this.Match(/^\([v^]\)/);if(d){this.tex+="{\\"+this.Arrows[d.charAt(1)]+"}"}else{this.tex+="{"+e;this.i++}},ParseClose:function(d){this.FinishAtom();this.atom=true;this.tex+=d+"}";this.i++},ParseLess:function(e){this.FinishAtom();var d=this.Match(/^(<->?|<=>>?|<<=>)/);if(!d){this.tex+=e;this.i++}else{this.AddArrow(d)}},ParseSuperscript:function(f){f=this.string.charAt(++this.i);if(f==="{"){this.i++;var d=this.Find("}");if(d==="-."){this.sup+="{-}{\\cdot}"}else{if(d){this.sup+=a(d).Parse().replace(/^\{-\}/,"-")}}}else{if(f===" "||f===""){this.tex+="{\\"+this.Arrows["^"]+"}";this.i++}else{var e=this.Match(/^(\d+|-\.)/);if(e){this.sup+=e}}}},ParseSubscript:function(e){if(this.string.charAt(++this.i)=="{"){this.i++;this.sub+=a(this.Find("}")).Parse().replace(/^\{-\}/,"-")}else{var d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(c){if(this.sup||this.sub||this.presup||this.presub){if(!c&&!this.atom){if(this.tex===""&&!this.sup&&!this.sub){return}if(!this.presup&&!this.presub&&(this.tex===""||this.tex==="{"||(this.tex==="}"&&this.TEX.substr(-1)==="{"))){this.presup=this.sup,this.presub=this.sub;this.sub=this.sup="";this.TEX+=this.tex;this.tex="";return}}if(this.sub&&!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}if((this.presup||this.presub)&&this.tex!=="{"){if(!this.presup&&!this.sup){this.presup="\\Space{0pt}{0pt}{.2em}"}this.tex="\\CEprescripts{"+(this.presub||"\\CEnone")+"}{"+(this.presup||"\\CEnone")+"}{"+(this.tex!=="}"?this.tex:"")+"}{"+(this.sub||"\\CEnone")+"}{"+(this.sup||"\\CEnone")+"}"+(this.tex==="}"?"}":"");this.presub=this.presup=""}else{if(this.sup){this.tex+="^{"+this.sup+"}"}if(this.sub){this.tex+="_{"+this.sub+"}"}}this.sup=this.sub=""}this.TEX+=this.tex;this.tex="";this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<=>":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons","^":"uparrow",v:"downarrow"},Bonds:{"-":"-","=":"=","#":"\\equiv","~":"\\tripledash","~-":"\\begin{CEstack}{}\\tripledash\\\\-\\end{CEstack}","~=":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","~--":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","-~-":"\\raise2mu{\\begin{CEstack}{}-\\\\\\tripledash\\\\-\\end{CEstack}}","...":"{\\cdot}{\\cdot}{\\cdot}","....":"{\\cdot}{\\cdot}{\\cdot}{\\cdot}","->":"\\rightarrow","<-":"\\leftarrow","??":"\\text{??}"},Parse:function(){this.tex="";this.atom=false;while(this.i"){this.i+=2;this.AddArrow("->");return}else{this.tex+="{-}"}}this.i++},ParsePlus:function(d){if(this.atom){this.sup+=d}else{this.FinishAtom();this.tex+=d}this.i++},ParseDot:function(d){this.FinishAtom();this.tex+="\\cdot ";this.i++},ParseEqual:function(d){this.FinishAtom();this.tex+="{=}";this.i++},ParsePound:function(d){this.FinishAtom();this.tex+="{\\equiv}";this.i++},ParseOpen:function(e){this.FinishAtom();var d=this.Match(/^\([v^]\)/);if(d){this.tex+="{\\"+this.Arrows[d.charAt(1)]+"}"}else{this.tex+="{"+e;this.i++}},ParseClose:function(d){this.FinishAtom();this.atom=true;this.tex+=d+"}";this.i++},ParseLess:function(e){this.FinishAtom();var d=this.Match(/^(<->?|<=>>?|<<=>)/);if(!d){this.tex+=e;this.i++}else{this.AddArrow(d)}},ParseSuperscript:function(f){f=this.string.charAt(++this.i);if(f==="{"){this.i++;var d=this.Find("}");if(d==="-."){this.sup+="{-}{\\cdot}"}else{if(d){this.sup+=a(d).Parse().replace(/^\{-\}/,"-")}}}else{if(f===" "||f===""){this.tex+="{\\"+this.Arrows["^"]+"}";this.i++}else{var e=this.Match(/^(\d+|-\.)/);if(e){this.sup+=e}}}},ParseSubscript:function(e){if(this.string.charAt(++this.i)=="{"){this.i++;this.sub+=a(this.Find("}")).Parse().replace(/^\{-\}/,"-")}else{var d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(c){if(this.sup||this.sub||this.presup||this.presub){if(!c&&!this.atom){if(this.tex===""&&!this.sup&&!this.sub){return}if(!this.presup&&!this.presub&&(this.tex===""||this.tex==="{"||(this.tex==="}"&&this.TEX.substr(-1)==="{"))){this.presup=this.sup,this.presub=this.sub;this.sub=this.sup="";this.TEX+=this.tex;this.tex="";return}}if(this.sub&&!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}if((this.presup||this.presub)&&this.tex!=="{"){if(!this.presup&&!this.sup){this.presup="\\Space{0pt}{0pt}{.2em}"}this.tex="\\CEprescripts{"+(this.presub||"\\CEnone")+"}{"+(this.presup||"\\CEnone")+"}{"+(this.tex!=="}"?this.tex:"")+"}{"+(this.sub||"\\CEnone")+"}{"+(this.sup||"\\CEnone")+"}"+(this.tex==="}"?"}":"");this.presub=this.presup=""}else{if(this.sup){this.tex+="^{"+this.sup+"}"}if(this.sub){this.tex+="_{"+this.sub+"}"}}this.sup=this.sub=""}this.TEX+=this.tex;this.tex="";this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;eb.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(g,k,c,j,h){if(j){var e=[];if(h!=null){var d=this.GetBrackets("\\begin{"+name+"}");e.push(d==null?h:d)}for(var f=e.length;f0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;eb.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(g,k,c,j,h){if(j){var e=[];if(h!=null){var d=this.GetBrackets("\\begin{"+name+"}");e.push(d==null?h:d)}for(var f=e.length;f1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); +(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js"); diff --git a/extensions/TeX/noUndefined.js b/extensions/TeX/noUndefined.js index b0fb0dfe72..f4100a764a 100644 --- a/extensions/TeX/noUndefined.js +++ b/extensions/TeX/noUndefined.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/noUndefined"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); +MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); diff --git a/extensions/TeX/unicode.js b/extensions/TeX/unicode.js index 4d77d451de..9f82f47f5d 100644 --- a/extensions/TeX/unicode.js +++ b/extensions/TeX/unicode.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/unicode"]={version:"2.7.5",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)).replace(/^0x/,"x");if(!j.match(/^(x[0-9A-Fa-f]+|[0-9]+)$/)){c.Error(["BadUnicode","Argument to \\unicode must be a number"])}var h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.apply(this,arguments);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js"); +MathJax.Extension["TeX/unicode"]={version:"2.7.6",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)).replace(/^0x/,"x");if(!j.match(/^(x[0-9A-Fa-f]+|[0-9]+)$/)){c.Error(["BadUnicode","Argument to \\unicode must be a number"])}var h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.apply(this,arguments);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js"); diff --git a/extensions/TeX/verb.js b/extensions/TeX/verb.js index 9c2939fd19..7916c6d836 100644 --- a/extensions/TeX/verb.js +++ b/extensions/TeX/verb.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension["TeX/verb"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.Add({macros:{verb:"Verb"}},null,true);c.Parse.Augment({Verb:function(d){var g=this.GetNext();var f=++this.i;if(g==""){c.Error(["MissingArgFor","Missing argument for %1",d])}while(this.i=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(b){var a=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((b.previousSibling||{}).className===a){return}if(c==="TeX"){c=[this.filterPreview(b.innerHTML)]}if(c){c=MathJax.HTML.Element("span",{className:a},c);b.parentNode.insertBefore(c,b)}},createMathTag:function(c,b){b=b.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js"); +MathJax.Extension.jsMath2jax={version:"2.7.6",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(b){var a=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((b.previousSibling||{}).className===a){return}if(c==="TeX"){c=[this.filterPreview(b.innerHTML)]}if(c){c=MathJax.HTML.Element("span",{className:a},c);b.parentNode.insertBefore(c,b)}},createMathTag:function(c,b){b=b.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js"); diff --git a/extensions/mml2jax.js b/extensions/mml2jax.js index af4ce59ca1..f7ca8b5354 100644 --- a/extensions/mml2jax.js +++ b/extensions/mml2jax.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension.mml2jax={version:"2.7.5",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); +MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/ /g," ")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c=""}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&").replace(//g,">").replace(/\"/g,""")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"x"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="<"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js"); diff --git a/extensions/tex2jax.js b/extensions/tex2jax.js index 15d900ae0d..9dad24951b 100644 --- a/extensions/tex2jax.js +++ b/extensions/tex2jax.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Extension.tex2jax={version:"2.7.5",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); +MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":" "));for(var g=0,d=this.data.length;g")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+""}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+""},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&","<":"<",">":">",'"':"""}[f[g]];if(j){f[g]=j}}}else{if(g+11);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?" "+(n?" ":""):"")+" ";for(var h=0,f=this.data.length;h")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"")}if(g){if(n){j.unshift(d+" ");j.push(d+" ")}j.unshift(d+" ");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":">","<":"<","&":"&"}[i]});j.push(d+' '+l+"");j.push(d+" ")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+""}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+j+""}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g\n"+h.join("\n")+"\n"+k+""}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"\n"+this.data[0].toMathML(e+" ")+"\n"+e+""}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js"); diff --git a/jax/element/mml/jax.js b/jax/element/mml/jax.js index 5869ef4471..9f07507d66 100644 --- a/jax/element/mml/jax.js +++ b/jax/element/mml/jax.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.5",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); +MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js"); diff --git a/jax/input/AsciiMath/config.js b/jax/input/AsciiMath/config.js index a2297840d4..893438d2cf 100644 --- a/jax/input/AsciiMath/config.js +++ b/jax/input/AsciiMath/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); +MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js"); diff --git a/jax/input/MathML/config.js b/jax/input/MathML/config.js index b8bd5f945f..0897e17f1b 100644 --- a/jax/input/MathML/config.js +++ b/jax/input/MathML/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.5",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); +MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); diff --git a/jax/input/TeX/config.js b/jax/input/TeX/config.js index 5e4a4bf6a1..6afadcab20 100644 --- a/jax/input/TeX/config.js +++ b/jax/input/TeX/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.5",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); diff --git a/jax/output/CommonHTML/autoload/annotation-xml.js b/jax/output/CommonHTML/autoload/annotation-xml.js index 00565fb0f5..531ac277a7 100644 --- a/jax/output/CommonHTML/autoload/annotation-xml.js +++ b/jax/output/CommonHTML/autoload/annotation-xml.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a["annotation-xml"].Augment({toCommonHTML:function(e){var d=this.Get("encoding");e=this.CHTMLdefaultNode(e,{childOptions:{encoding:d}});if(this.CHTML.rscale!==1){this.CHTML.rescale(1/this.CHTML.rscale)}return e}});a.xml.Augment({toCommonHTML:function(l,g){var n=this.CHTML=b.BBOX.zero();for(var j=0,d=this.data.length;jthis.data.length){this.selection=1}var j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(k)},CHTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},CHTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},CHTMLtooltipOver:function(i,j){if(!j){j=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=j.pageX;var l=j.pageY;if(h==null){h=j.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;l=j.clientY+document.body.scrollTop+document.documentElement.scrollTop}var k=MathJax.Callback(["CHTMLtooltipPost",this,i,h+a.offsetX,l+a.offsetY]);f=setTimeout(k,a.delayPost)},CHTMLtooltipOut:function(h,i){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var j=MathJax.Callback(["CHTMLtooltipClear",this,80]);b=setTimeout(j,a.delayClear)},CHTMLtooltipPost:function(i,h,l){f=null;if(b){clearTimeout(b);b=null}var k=this.CHTMLtooltip;k.style.display="block";k.style.opacity="";if(this===d){return}k.style.left=h+"px";k.style.top=l+"px";k.innerHTML='';e.getMetrics(i);try{this.data[1].toCommonHTML(k.firstChild.firstChild)}catch(j){if(!j.restart){throw j}k.style.display="none";MathJax.Callback.After(["CHTMLtooltipPost",this,i,h,l],j.restart);return}d=this},CHTMLtooltipClear:function(i){var h=this.CHTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["CHTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("CommonHTML maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax.CommonHTML;var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({CHTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_CHTML_Tooltip"}),toCommonHTML:function(j){var i=this.Get("selection");j=this.CHTMLcreateNode(j);this.CHTML=e.BBOX.empty();this.CHTMLhandleStyle(j);this.CHTMLhandleScale(j);this.CHTMLaddChild(j,i-1,{});this.CHTML.clean();this.CHTMLhandleSpace(j);this.CHTMLhandleBBox(j);this.CHTMLhandleColor(j);var h=this.Get("actiontype");if(this.CHTMLaction[h]&&this.CHTMLaction.hasOwnProperty(h)){this.CHTMLaction[h].call(this,j,i)}return j},CHTMLcoreNode:function(h){return this.CHTMLchildNode(h,0)},CHTMLaction:{toggle:function(i,h){this.selection=h;i.onclick=MathJax.Callback(["CHTMLclick",this,e.jax]);i.style.cursor="pointer"},statusline:function(i,h){i.onmouseover=MathJax.Callback(["CHTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["CHTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true},tooltip:function(i,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["CHTMLtooltipOver",this,e.jax]);i.onmouseout=MathJax.Callback(["CHTMLtooltipOut",this,e.jax]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}}},CHTMLclick:function(h,k){this.selection++;if(this.selection>this.data.length){this.selection=1}var j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(k)},CHTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},CHTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},CHTMLtooltipOver:function(i,j){if(!j){j=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=j.pageX;var l=j.pageY;if(h==null){h=j.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;l=j.clientY+document.body.scrollTop+document.documentElement.scrollTop}var k=MathJax.Callback(["CHTMLtooltipPost",this,i,h+a.offsetX,l+a.offsetY]);f=setTimeout(k,a.delayPost)},CHTMLtooltipOut:function(h,i){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var j=MathJax.Callback(["CHTMLtooltipClear",this,80]);b=setTimeout(j,a.delayClear)},CHTMLtooltipPost:function(i,h,l){f=null;if(b){clearTimeout(b);b=null}var k=this.CHTMLtooltip;k.style.display="block";k.style.opacity="";if(this===d){return}k.style.left=h+"px";k.style.top=l+"px";k.innerHTML='';e.getMetrics(i);try{this.data[1].toCommonHTML(k.firstChild.firstChild)}catch(j){if(!j.restart){throw j}k.style.display="none";MathJax.Callback.After(["CHTMLtooltipPost",this,i,h,l],j.restart);return}d=this},CHTMLtooltipClear:function(i){var h=this.CHTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["CHTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("CommonHTML maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")}); diff --git a/jax/output/CommonHTML/autoload/menclose.js b/jax/output/CommonHTML/autoload/menclose.js index a9028d546a..de7f577617 100644 --- a/jax/output/CommonHTML/autoload/menclose.js +++ b/jax/output/CommonHTML/autoload/menclose.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.CommonHTML;var f="http://www.w3.org/2000/svg";var e=4,b=1,c=2;a.menclose.Augment({toCommonHTML:function(o){var y=this.getValues("notation","thickness","padding");if(y.thickness==null){y.thickness=".075em"}if(y.padding==null){y.padding=".2em"}o=this.CHTMLdefaultNode(o,{childNodes:"mjx-box",forceChild:true});var j=o.firstChild,v=this.CHTMLbboxFor(0);var h=this.CHTMLlength2em(y.padding,1/d.em);var z=this.CHTMLlength2em(y.thickness,1/d.em);z=Math.max(1,Math.round(z*d.em))/d.em;var q=d.Px(z)+" solid";var u={L:h,R:h,T:h,B:h,H:v.h+h,D:v.d+h,W:v.w+2*h};j.style.padding=d.Em(h);var s=MathJax.Hub.SplitList(y.notation),w={};for(var r=0,l=s.length;rx.r){x.r=x.w}x.h+=u.T;if(x.h>x.t){x.t=x.h}x.d+=u.B;if(x.d>x.b){x.b=x.d}return o},CHTMLnotation:{box:function(m,j,l,k,i,h){k-=i;m.style.padding=d.Em(k);m.style.border=h},roundedbox:function(n,k,m,l,i,h){var j=Math.min(k.w,k.h+k.d+2*l)/4;d.addElement(n.parentNode,"mjx-box",{style:{padding:d.Em(l-i),border:h,"border-radius":d.Em(j),height:d.Em(k.h+k.d),"vertical-align":d.Em(-m.D),width:d.Em(k.w),"margin-left":d.Em(-m.W)}})},circle:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"ellipse",{rx:d.Px(k/2-r/2),ry:d.Px((q+h)/2-r/2),cx:d.Px(k/2),cy:d.Px((q+h)/2)})},left:function(m,j,l,k,i,h){m.style.borderLeft=h;m.style.paddingLeft=d.Em(k-i)},right:function(m,j,l,k,i,h){m.style.borderRight=h;m.style.paddingRight=d.Em(k-i)},top:function(m,j,l,k,i,h){m.style.borderTop=h;m.style.paddingTop=d.Em(k-i)},bottom:function(m,j,l,k,i,h){m.style.borderBottom=h;m.style.paddingBottom=d.Em(k-i)},actuarial:function(m,j,l,k,i,h){m.style.borderTop=m.style.borderRight=h;m.style.paddingTop=m.style.paddingRight=d.Em(k-i)},madruwb:function(m,j,l,k,i,h){m.style.borderBottom=m.style.borderRight=h;m.style.paddingBottom=m.style.paddingRight=d.Em(k-i)},verticalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-left":h,height:d.Em(l.H+l.D),"vertical-align":d.Em(-l.D),width:d.Em(j.w/2+k-i/2),"margin-left":d.Em(-j.w/2-k-i/2)}})},horizontalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-top":h,height:d.Em((l.H+l.D)/2-i/2),"vertical-align":d.Em(-l.D),width:d.Em(l.W),"margin-left":d.Em(-l.W)}})},updiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(q+h-r),x2:d.Px(k-r),y2:d.Px(r/2)})},downdiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(r/2),x2:d.Px(k-r),y2:d.Px(q+h-r)})},updiagonalarrow:function(i,q,o,h,w,k){var v=o.H+o.D-w,j=o.W-w/2;var u=Math.atan2(v,j)*(-180/Math.PI).toFixed(3);var l=Math.sqrt(v*v+j*j);var m=this.CHTMLsvg(i,o,w);var n=this.CHTMLsvgElement(m.firstChild,"g",{fill:"currentColor",transform:"translate("+this.CHTMLpx(w/2)+" "+this.CHTMLpx(v+w/2)+") rotate("+u+")"});var s=w*e,z=w*b,r=w*c;this.CHTMLsvgElement(n,"line",{x1:d.Px(w/2),y1:0,x2:d.Px(l-s),y2:0});this.CHTMLsvgElement(n,"path",{d:"M "+this.CHTMLpx(l-s)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(r)+"L "+this.CHTMLpx(l)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(-r),stroke:"none"})},phasorangle:function(j,q,o,i,s,l){var n=i,r=o.H,h=o.D;i=(r+h)/2;var k=o.W+i-n;o.W=k;o.L=i;j.style.margin="0 0 0 "+d.Em(i-n);var m=this.CHTMLsvg(j,o,s);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(i)+",1 L 1,"+this.CHTMLpx(r+h-s)+" L "+this.CHTMLpx(k)+","+this.CHTMLpx(r+h-s)})},longdiv:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(k)+",1 L 1,1 a"+this.CHTMLpx(i)+","+this.CHTMLpx((q+h)/2-r/2)+" 0 0,1 1,"+this.CHTMLpx(q+h-1.5*r)})},radical:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M 1,"+this.CHTMLpx(0.6*(q+h))+" L "+this.CHTMLpx(i)+","+this.CHTMLpx(q+h)+" L "+this.CHTMLpx(2*i)+",1 L "+this.CHTMLpx(k)+",1"})}},CHTMLpx:function(h){h*=d.em;if(Math.abs(h)<0.1){return"0"}return h.toFixed(1).replace(/\.0$/,"")},CHTMLsvg:function(j,k,i){if(!h){var h=document.createElementNS(f,"svg");if(h.style){h.style.width=d.Em(k.W);h.style.height=d.Em(k.H+k.D);h.style.verticalAlign=d.Em(-k.D);h.style.marginLeft=d.Em(-k.W)}this.CHTMLsvgElement(h,"g",{"stroke-width":d.Px(i)});j.parentNode.appendChild(h)}return h},CHTMLsvgElement:function(h,i,j){var k=document.createElementNS(f,i);k.isMathJax=true;if(j){for(var l in j){if(j.hasOwnProperty(l)){k.setAttributeNS(null,l,j[l].toString())}}}h.appendChild(k);return k}});if(!document.createElementNS){delete a.menclose.prototype.toCommonHTML}MathJax.Hub.Startup.signal.Post("CommonHTML menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.CommonHTML;var f="http://www.w3.org/2000/svg";var e=4,b=1,c=2;a.menclose.Augment({toCommonHTML:function(o){var y=this.getValues("notation","thickness","padding");if(y.thickness==null){y.thickness=".075em"}if(y.padding==null){y.padding=".2em"}o=this.CHTMLdefaultNode(o,{childNodes:"mjx-box",forceChild:true});var j=o.firstChild,v=this.CHTMLbboxFor(0);var h=this.CHTMLlength2em(y.padding,1/d.em);var z=this.CHTMLlength2em(y.thickness,1/d.em);z=Math.max(1,Math.round(z*d.em))/d.em;var q=d.Px(z)+" solid";var u={L:h,R:h,T:h,B:h,H:v.h+h,D:v.d+h,W:v.w+2*h};j.style.padding=d.Em(h);var s=MathJax.Hub.SplitList(y.notation),w={};for(var r=0,l=s.length;rx.r){x.r=x.w}x.h+=u.T;if(x.h>x.t){x.t=x.h}x.d+=u.B;if(x.d>x.b){x.b=x.d}return o},CHTMLnotation:{box:function(m,j,l,k,i,h){k-=i;m.style.padding=d.Em(k);m.style.border=h},roundedbox:function(n,k,m,l,i,h){var j=Math.min(k.w,k.h+k.d+2*l)/4;d.addElement(n.parentNode,"mjx-box",{style:{padding:d.Em(l-i),border:h,"border-radius":d.Em(j),height:d.Em(k.h+k.d),"vertical-align":d.Em(-m.D),width:d.Em(k.w),"margin-left":d.Em(-m.W)}})},circle:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"ellipse",{rx:d.Px(k/2-r/2),ry:d.Px((q+h)/2-r/2),cx:d.Px(k/2),cy:d.Px((q+h)/2)})},left:function(m,j,l,k,i,h){m.style.borderLeft=h;m.style.paddingLeft=d.Em(k-i)},right:function(m,j,l,k,i,h){m.style.borderRight=h;m.style.paddingRight=d.Em(k-i)},top:function(m,j,l,k,i,h){m.style.borderTop=h;m.style.paddingTop=d.Em(k-i)},bottom:function(m,j,l,k,i,h){m.style.borderBottom=h;m.style.paddingBottom=d.Em(k-i)},actuarial:function(m,j,l,k,i,h){m.style.borderTop=m.style.borderRight=h;m.style.paddingTop=m.style.paddingRight=d.Em(k-i)},madruwb:function(m,j,l,k,i,h){m.style.borderBottom=m.style.borderRight=h;m.style.paddingBottom=m.style.paddingRight=d.Em(k-i)},verticalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-left":h,height:d.Em(l.H+l.D),"vertical-align":d.Em(-l.D),width:d.Em(j.w/2+k-i/2),"margin-left":d.Em(-j.w/2-k-i/2)}})},horizontalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-top":h,height:d.Em((l.H+l.D)/2-i/2),"vertical-align":d.Em(-l.D),width:d.Em(l.W),"margin-left":d.Em(-l.W)}})},updiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(q+h-r),x2:d.Px(k-r),y2:d.Px(r/2)})},downdiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(r/2),x2:d.Px(k-r),y2:d.Px(q+h-r)})},updiagonalarrow:function(i,q,o,h,w,k){var v=o.H+o.D-w,j=o.W-w/2;var u=Math.atan2(v,j)*(-180/Math.PI).toFixed(3);var l=Math.sqrt(v*v+j*j);var m=this.CHTMLsvg(i,o,w);var n=this.CHTMLsvgElement(m.firstChild,"g",{fill:"currentColor",transform:"translate("+this.CHTMLpx(w/2)+" "+this.CHTMLpx(v+w/2)+") rotate("+u+")"});var s=w*e,z=w*b,r=w*c;this.CHTMLsvgElement(n,"line",{x1:d.Px(w/2),y1:0,x2:d.Px(l-s),y2:0});this.CHTMLsvgElement(n,"path",{d:"M "+this.CHTMLpx(l-s)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(r)+"L "+this.CHTMLpx(l)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(-r),stroke:"none"})},phasorangle:function(j,q,o,i,s,l){var n=i,r=o.H,h=o.D;i=(r+h)/2;var k=o.W+i-n;o.W=k;o.L=i;j.style.margin="0 0 0 "+d.Em(i-n);var m=this.CHTMLsvg(j,o,s);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(i)+",1 L 1,"+this.CHTMLpx(r+h-s)+" L "+this.CHTMLpx(k)+","+this.CHTMLpx(r+h-s)})},longdiv:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(k)+",1 L 1,1 a"+this.CHTMLpx(i)+","+this.CHTMLpx((q+h)/2-r/2)+" 0 0,1 1,"+this.CHTMLpx(q+h-1.5*r)})},radical:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M 1,"+this.CHTMLpx(0.6*(q+h))+" L "+this.CHTMLpx(i)+","+this.CHTMLpx(q+h)+" L "+this.CHTMLpx(2*i)+",1 L "+this.CHTMLpx(k)+",1"})}},CHTMLpx:function(h){h*=d.em;if(Math.abs(h)<0.1){return"0"}return h.toFixed(1).replace(/\.0$/,"")},CHTMLsvg:function(j,k,i){if(!h){var h=document.createElementNS(f,"svg");if(h.style){h.style.width=d.Em(k.W);h.style.height=d.Em(k.H+k.D);h.style.verticalAlign=d.Em(-k.D);h.style.marginLeft=d.Em(-k.W)}this.CHTMLsvgElement(h,"g",{"stroke-width":d.Px(i)});j.parentNode.appendChild(h)}return h},CHTMLsvgElement:function(h,i,j){var k=document.createElementNS(f,i);k.isMathJax=true;if(j){for(var l in j){if(j.hasOwnProperty(l)){k.setAttributeNS(null,l,j[l].toString())}}}h.appendChild(k);return k}});if(!document.createElementNS){delete a.menclose.prototype.toCommonHTML}MathJax.Hub.Startup.signal.Post("CommonHTML menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")}); diff --git a/jax/output/CommonHTML/autoload/mglyph.js b/jax/output/CommonHTML/autoload/mglyph.js index 04affc078c..a203010737 100644 --- a/jax/output/CommonHTML/autoload/mglyph.js +++ b/jax/output/CommonHTML/autoload/mglyph.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML,d=MathJax.Localization;a.mglyph.Augment({toCommonHTML:function(f,r){var o=this.getValues("src","width","height","valign","alt");f=this.CHTMLcreateNode(f);this.CHTMLhandleStyle(f);this.CHTMLhandleScale(f);if(o.src===""){var k=this.Get("index");this.CHTMLgetVariant();if(k&&this.CHTMLvariant.style){this.CHTMLhandleText(f,String.fromCharCode(k),this.CHTMLvariant)}}else{var p=this.CHTML;if(!p.img){p.img=a.mglyph.GLYPH[o.src]}if(!p.img){p.img=a.mglyph.GLYPH[o.src]={img:new Image(),status:"pending"};p.img.img.onload=MathJax.Callback(["CHTMLimgLoaded",this]);p.img.img.onerror=MathJax.Callback(["CHTMLimgError",this]);p.img.img.src=o.src;MathJax.Hub.RestartAfter(p.img.img.onload)}if(p.img.status!=="OK"){var g=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",o.src));g.data[0].data[0].mathsize="75%";this.Append(g);g.toCommonHTML(f);this.data.pop();p.combine(g.CHTML,0,0,1)}else{var i=b.addElement(f,"img",{isMathJax:true,src:o.src,alt:o.alt,title:o.alt});var m=o.width,j=o.height;var e=p.img.img.width/b.em,n=p.img.img.height/b.em;var q=e,l=n;if(m!==""){e=this.CHTMLlength2em(m,q);n=(q?e/q*l:0)}if(j!==""){n=this.CHTMLlength2em(j,l);if(m===""){e=(l?n/l*q:0)}}i.style.width=b.Em(e);p.w=p.r=e;i.style.height=b.Em(n);p.h=p.t=n;if(o.valign){p.d=p.b=-this.CHTMLlength2em(o.valign,l);i.style.verticalAlign=b.Em(-p.d);p.h-=p.d;p.t=p.h}}}this.CHTMLhandleSpace(f);this.CHTMLhandleBBox(f);this.CHTMLhandleColor(f);return f},CHTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.CHTML.img.status=(e||"OK")},CHTMLimgError:function(){this.CHTML.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("CommonHTML mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML,d=MathJax.Localization;a.mglyph.Augment({toCommonHTML:function(f,r){var o=this.getValues("src","width","height","valign","alt");f=this.CHTMLcreateNode(f);this.CHTMLhandleStyle(f);this.CHTMLhandleScale(f);if(o.src===""){var k=this.Get("index");this.CHTMLgetVariant();if(k&&this.CHTMLvariant.style){this.CHTMLhandleText(f,String.fromCharCode(k),this.CHTMLvariant)}}else{var p=this.CHTML;if(!p.img){p.img=a.mglyph.GLYPH[o.src]}if(!p.img){p.img=a.mglyph.GLYPH[o.src]={img:new Image(),status:"pending"};p.img.img.onload=MathJax.Callback(["CHTMLimgLoaded",this]);p.img.img.onerror=MathJax.Callback(["CHTMLimgError",this]);p.img.img.src=o.src;MathJax.Hub.RestartAfter(p.img.img.onload)}if(p.img.status!=="OK"){var g=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",o.src));g.data[0].data[0].mathsize="75%";this.Append(g);g.toCommonHTML(f);this.data.pop();p.combine(g.CHTML,0,0,1)}else{var i=b.addElement(f,"img",{isMathJax:true,src:o.src,alt:o.alt,title:o.alt});var m=o.width,j=o.height;var e=p.img.img.width/b.em,n=p.img.img.height/b.em;var q=e,l=n;if(m!==""){e=this.CHTMLlength2em(m,q);n=(q?e/q*l:0)}if(j!==""){n=this.CHTMLlength2em(j,l);if(m===""){e=(l?n/l*q:0)}}i.style.width=b.Em(e);p.w=p.r=e;i.style.height=b.Em(n);p.h=p.t=n;if(o.valign){p.d=p.b=-this.CHTMLlength2em(o.valign,l);i.style.verticalAlign=b.Em(-p.d);p.h-=p.d;p.t=p.h}}}this.CHTMLhandleSpace(f);this.CHTMLhandleBBox(f);this.CHTMLhandleColor(f);return f},CHTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.CHTML.img.status=(e||"OK")},CHTMLimgError:function(){this.CHTML.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("CommonHTML mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")}); diff --git a/jax/output/CommonHTML/autoload/mmultiscripts.js b/jax/output/CommonHTML/autoload/mmultiscripts.js index 77022ceeab..2ce8a57de4 100644 --- a/jax/output/CommonHTML/autoload/mmultiscripts.js +++ b/jax/output/CommonHTML/autoload/mmultiscripts.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a.mmultiscripts.Augment({toCommonHTML:function(K,k){var P=(k||{}).stretch;if(!P){K=this.CHTMLcreateNode(K);this.CHTMLhandleStyle(K);this.CHTMLgetVariant();this.CHTMLhandleScale(K)}b.BBOX.empty(this.CHTML);var m,e;if(P){m=b.getNode(K,"mjx-base")}else{this.CHTMLaddChild(K,0,{type:"mjx-base",noBBox:true,forceChild:true});m=K.firstChild}e=this.CHTMLbboxFor(0);if(e.ic){e.R-=e.ic;if(!P){m.style.marginRight=b.Em(-e.ic)}R=1.3*e.ic+0.05}var E={},n={};this.CHTMLgetScripts(E,n,P,K);var w=E.sub,f=E.sup,B=E.presub,l=E.presup;var H=n.sub,N=n.sup,j=n.presub,o=n.presup;if(!P){this.CHTMLaddBoxes(K,m,E)}var g=this.getValues("scriptlevel","scriptsizemultiplier");var i=(this.Get("scriptlevel")<3?g.scriptsizemultiplier:1);var O=b.TEX.x_height,F=b.TEX.scriptspace;var I=b.TEX.sup_drop*i,G=b.TEX.sub_drop*i;var C=e.h-I,A=e.d+G,R=0,J;var L=this.data[this.base];if(L&&(L.type==="mi"||L.type==="mo")){if(b.isChar(L.data.join(""))&&e.rscale===1&&!e.sH&&!L.Get("largeop")){C=A=0}}g=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");g.subscriptshift=(g.subscriptshift===""?0:this.CHTMLlength2em(g.subscriptshift));g.superscriptshift=(g.superscriptshift===""?0:this.CHTMLlength2em(g.superscriptshift));var z=(B?F+j.w:l?F+o.w-R:0);this.CHTML.combine(e,z,0);var y=this.CHTML.w;if(!f&&!l){A=Math.max(A,b.TEX.sub1,g.subscriptshift);if(w){A=Math.max(A,H.h-(4/5)*O)}if(B){A=Math.max(A,j.h-(4/5)*O)}if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}else{if(!w&&!B){J=b.TEX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];C=Math.max(C,J,g.superscriptshift);if(f){C=Math.max(C,N.d+(1/4)*O)}if(l){C=Math.max(C,o.d+(1/4)*O)}if(f){this.CHTMLplaceSupOnly(f,N,y,R,C,F)}if(l){this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{A=Math.max(A,b.TEX.sub2);var D=b.TEX.rule_thickness;var M=(H||j).h,Q=(N||o).d;if(B){M=Math.max(M,j.h)}if(l){Q=Math.max(Q,o.d)}if((C-Q)-(M-A)<3*D){A=3*D-C+Q+M;I=(4/5)*O-(C-Q);if(I>0){C+=I;A-=I}}C=Math.max(C,g.superscriptshift);A=Math.max(A,g.subscriptshift);if(f){if(w){this.CHTMLplaceSubSup(w,H,f,N,y,R,C,A,F)}else{this.CHTMLplaceSupOnly(f,N,y,R,C,F)}}else{if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}}if(l){if(B){this.CHTMLplacePresubPresup(B,j,l,o,R,C,A,F)}else{this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}}}this.CHTML.clean();this.CHTMLhandleSpace(K);this.CHTMLhandleBBox(K);this.CHTMLhandleColor(K);return K},CHTMLgetScripts:function(e,o,g,h){if(g){e.sub=b.getNode(h,"mjx-sub");e.sup=b.getNode(h,"mjx-sup");e.presub=b.getNode(h,"mjx-presub");e.presup=b.getNode(h,"mjx-presup");o.sub=this.CHTMLbbox.sub;o.sup=this.CHTMLbbox.sup;o.presub=this.CHTMLbbox.presub;o.presup=this.CHTMLbbox.presup;return}this.CHTMLbbox=o;var f={i:1,w:0,BOX:e,BBOX:o},i=this.data.length;var d="sub",j="sup";while(f.i0){C+=I;A-=I}}C=Math.max(C,g.superscriptshift);A=Math.max(A,g.subscriptshift);if(f){if(w){this.CHTMLplaceSubSup(w,H,f,N,y,R,C,A,F)}else{this.CHTMLplaceSupOnly(f,N,y,R,C,F)}}else{if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}}if(l){if(B){this.CHTMLplacePresubPresup(B,j,l,o,R,C,A,F)}else{this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}}}this.CHTML.clean();this.CHTMLhandleSpace(K);this.CHTMLhandleBBox(K);this.CHTMLhandleColor(K);return K},CHTMLgetScripts:function(e,o,g,h){if(g){e.sub=b.getNode(h,"mjx-sub");e.sup=b.getNode(h,"mjx-sup");e.presub=b.getNode(h,"mjx-presub");e.presup=b.getNode(h,"mjx-presup");o.sub=this.CHTMLbbox.sub;o.sup=this.CHTMLbbox.sup;o.presub=this.CHTMLbbox.presub;o.presup=this.CHTMLbbox.presup;return}this.CHTMLbbox=o;var f={i:1,w:0,BOX:e,BBOX:o},i=this.data.length;var d="sub",j="sup";while(f.iw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;qw){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;qt||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;HE&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;Ht*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")}); diff --git a/jax/output/CommonHTML/autoload/multiline.js b/jax/output/CommonHTML/autoload/multiline.js index 994d332b2c..0745f3c388 100644 --- a/jax/output/CommonHTML/autoload/multiline.js +++ b/jax/output/CommonHTML/autoload/multiline.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var e="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,c=MathJax.OutputJax.CommonHTML;var g=b.mo().With({CHTML:c.BBOX.empty()});var f={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var d={linebreakstyle:"after"};b.mbase.Augment({CHTMLlinebreakPenalty:f,CHTMLmultiline:function(k){var q=this;while(q.inferred||(q.parent&&q.parent.type==="mrow"&&q.parent.isEmbellished())){q=q.parent}var o=((q.type==="math"&&q.Get("display")==="block")||q.type==="mtd");q.isMultiline=true;var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(r.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}r.lineleading=this.CHTMLlength2em(r.lineleading,0.5);c.BBOX.empty(this.CHTML);var p=c.addElement(k,"mjx-stack");var h={BBOX:this.CHTML,n:0,Y:0,scale:(this.CHTML.scale||1),isTop:o,values:{},VALUES:r},n=this.CHTMLgetAlign(h,{}),j=this.CHTMLgetShift(h,{},n),i=[],l={index:[],penalty:f.nobreak,w:0,W:j,shift:j,scanW:j,nest:0},m=false;while(this.CHTMLbetterBreak(l,h,true)&&(l.scanW>=c.linebreakWidth||l.penalty===f.newline)){this.CHTMLaddLine(p,i,l.index,h,l.values,m);i=l.index.slice(0);m=true;n=this.CHTMLgetAlign(h,l.values);j=this.CHTMLgetShift(h,l.values,n);l.W=l.shift=l.scanW=j;l.penalty=f.nobreak}h.isLast=true;this.CHTMLaddLine(p,i,[],h,d,m);k.style.width=p.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=c.Em(this.CHTML.w);this.CHTML.isMultiline=q.CHTML.isMultiline=true;p.style.verticalAlign=c.Em(h.d-this.CHTML.d);return k},CHTMLbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().CHTMLbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p0){var p=c.FONTDATA.baselineskip;var l=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;var i=h.Y;h.Y-=Math.max(p,h.d+u.h+l);m=i-h.Y-h.d-u.h}if(k){v.style.margin="0 "+c.Em(-k)+" 0 "+c.Em(k)}if(r!==b.INDENTALIGN.LEFT){n.style.textAlign=r}if(m){n.style.paddingTop=c.Em(m)}h.BBOX.combine(u,k,h.Y);h.d=h.bbox.d;h.values=t;h.n++},CHTMLgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===b.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===b.INDENTALIGN.AUTO){m=(k.isTop?a.displayAlign:b.INDENTALIGN.LEFT)}return m},CHTMLgetShift:function(h,p,n,l){var o=p,m=h.values,i=h.VALUES,j;if(h.n===0){j=o.indentshiftfirst||m.indentshiftfirst||i.indentshiftfirst}else{if(h.isLast){j=m.indentshiftlast||i.indentshiftlast}else{j=m.indentshift||i.indentshift}}if(j===b.INDENTSHIFT.INDENTSHIFT){j=m.indentshift||i.indentshift}if(j==="auto"||j===""){j="0"}j=this.CHTMLlength2em(j,c.cwidth);if(h.isTop&&a.displayIndent!=="0"){var k=this.CHTMLlength2em(a.displayIndent,c.cwidth);j+=(n===b.INDENTALIGN.RIGHT?-k:k)}return(n===b.INDENTALIGN.RIGHT&&!l?-j:j)},CHTMLmoveLine:function(q,h,o,p,k){var m=q[0],l=h[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&q.length>1){this.data[m].CHTMLmoveSlice(q.slice(1),h.slice(1),o,p,k,"marginLeft")}else{var n=p.last;p.last=false;while(m0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s1){this.data[this.dataI[q]].CHTMLmoveSlice(l.slice(1),o.slice(1),m,h,s,"marginLeft")}else{var r=h.last;h.last=false;var n=this.dataI[q];while(q0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.CHTML.baseW=this.data[this.base].CHTML.w;this.CHTML.dw=this.CHTML.w-this.CHTML.baseW}if(this.data[this.base].CHTMLbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===f.newline){j=o=true}}if(!o){this.CHTMLaddWidth(this.base,k,l)}k.scanW+=this.CHTML.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},CHTMLmoveLine:function(j,n,m,i,r){if(this.data[this.base]){var k=c.addElement(m,"mjx-base");if(j.length>1){this.data[this.base].CHTMLmoveSlice(j.slice(1),n.slice(1),k,i,r,"marginLeft")}else{if(n.length<=1){this.data[this.base].CHTMLmoveNode(k,i,r)}else{this.data[this.base].CHTMLmoveSlice([],n.slice(1),k,i,r,"marginRight")}}}if(n.length===0){var l=this.CHTMLnodeElement(),p=c.getNode(l,"mjx-stack"),o=c.getNode(l,"mjx-sup"),h=c.getNode(l,"mjx-sub");if(p){m.appendChild(p)}else{if(o){m.appendChild(o)}else{if(h){m.appendChild(h)}}}var q=i.bbox.w,s;if(o){s=this.data[this.sup].CHTML;i.bbox.combine(s,q,s.Y)}if(h){s=this.data[this.sub].CHTML;i.bbox.combine(s,q,s.Y)}}}});b.mmultiscripts.Augment({CHTMLbetterBreak:function(l,i){if(!this.data[this.base]){return false}var p=l.index.slice(0);l.index.shift();var n,q,m,o=(l.index.length>0),k=false;if(!o){l.W+=l.w;l.w=0}l.scanW=l.W;var r=this.CHTML,j=this.data[this.base].CHTML;var h=r.w-j.w-(r.X||0);l.scanW+=r.X||0;m=l.scanW;if(this.data[this.base].CHTMLbetterBreak(l,i)){k=true;p=[this.base].concat(l.index);n=l.W;q=l.w;if(l.penalty===f.newline){k=o=true}}if(!o){this.CHTMLaddWidth(this.base,l,m)}l.scanW+=h;l.W=l.scanW;l.index=[];if(k){l.W=n;l.w=q;l.index=p}return k},CHTMLmoveLine:function(m,p,o,j,v){var n,i=this.CHTMLbbox,u;if(m.length<1){n=this.CHTMLnodeElement();var r=c.getNode(n,"mjx-prestack"),s=c.getNode(n,"mjx-presup"),l=c.getNode(n,"mjx-presub");if(r){o.appendChild(r)}else{if(s){o.appendChild(s)}else{if(l){o.appendChild(l)}}}u=j.bbox.w;if(s){j.bbox.combine(i.presup,u+i.presup.X,i.presup.Y)}if(l){j.bbox.combine(i.presub,u+i.presub.X,i.presub.Y)}}if(this.data[this.base]){var k=c.addElement(o,"mjx-base");if(m.length>1){this.data[this.base].CHTMLmoveSlice(m.slice(1),p.slice(1),k,j,v,"marginLeft")}else{if(p.length<=1){this.data[this.base].CHTMLmoveNode(k,j,v)}else{this.data[this.base].CHTMLmoveSlice([],p.slice(1),k,j,v,"marginRight")}}}if(p.length===0){n=this.CHTMLnodeElement();var t=c.getNode(n,"mjx-stack"),q=c.getNode(n,"mjx-sup"),h=c.getNode(n,"mjx-sub");if(t){o.appendChild(t)}else{if(q){o.appendChild(q)}else{if(h){o.appendChild(h)}}}u=j.bbox.w;if(q){j.bbox.combine(i.sup,u,i.sup.Y)}if(h){j.bbox.combine(i.sub,u,i.sub.Y)}}}});b.mo.Augment({CHTMLbetterBreak:function(j,h){if(j.values&&j.values.id===this.CHTMLnodeID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===b.TEXCLASS.OPEN){j.nest++}if(p.texClass===b.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW;delete j.embellished;var o=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(p.linebreakstyle===b.LINEBREAKSTYLE.AFTER){k+=o;o=0}if(k-j.shift===0&&p.linebreak!==b.LINEBREAK.NEWLINE){return false}var l=c.linebreakWidth-k;if(h.n===0&&(p.indentshiftfirst!==h.VALUES.indentshiftfirst||p.indentalignfirst!==h.VALUES.indentalignfirst)){var m=this.CHTMLgetAlign(h,p),i=this.CHTMLgetShift(h,p,m);l+=(j.shift-i)}var n=Math.floor(l/c.linebreakWidth*1000);if(n<0){n=f.toobig-3*n}if(p.fence){n+=f.fence}if((p.linebreakstyle===b.LINEBREAKSTYLE.AFTER&&p.texClass===b.TEXCLASS.OPEN)||p.texClass===b.TEXCLASS.CLOSE){n+=f.close}n+=j.nest*f.nestfactor;var q=f[p.linebreak||b.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(q)){if(q||l>=0){n=q*j.nest}}else{n=Math.max(1,n+q[0]*j.nest)}if(n>=j.penalty){return false}j.penalty=n;j.values=p;j.W=k;j.w=o;p.lineleading=this.CHTMLlength2em(p.lineleading,h.VALUES.lineleading);p.id=this.CHTMLnodeID;return true}});b.mspace.Augment({CHTMLbetterBreak:function(i,h){if(i.values&&i.values.id===this.CHTMLnodeID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=b.LINEBREAK.AUTO}var j=i.scanW,n=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(j-i.shift===0){return false}var k=c.linebreakWidth-j;var m=Math.floor(k/c.linebreakWidth*1000);if(m<0){m=f.toobig-3*m}m+=i.nest*f.nestfactor;var p=f[l]||0;if(l===b.LINEBREAK.AUTO&&n>=f.spacelimit&&!this.mathbackground&&!this.background){p=[(n+f.spaceoffset)*f.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||k>=0){m=p*i.nest}}else{m=Math.max(1,m+p[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=o;i.W=j;i.w=n;o.lineleading=h.VALUES.lineleading;o.linebreakstyle="before";o.id=this.CHTMLnodeID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){b.TeXmathchoice.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}})});b.maction.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}});b.semantics.Augment({CHTMLbetterBreak:function(i,h){return(this.data[0]?this.data[0].CHTMLbetterBreak(i,h):false)},CHTMLmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].CHTMLmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("CommonHTML multiline Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/multiline.js")}); +MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var e="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,c=MathJax.OutputJax.CommonHTML;var g=b.mo().With({CHTML:c.BBOX.empty()});var f={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var d={linebreakstyle:"after"};b.mbase.Augment({CHTMLlinebreakPenalty:f,CHTMLmultiline:function(k){var q=this;while(q.inferred||(q.parent&&q.parent.type==="mrow"&&q.parent.isEmbellished())){q=q.parent}var o=((q.type==="math"&&q.Get("display")==="block")||q.type==="mtd");q.isMultiline=true;var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(r.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}r.lineleading=this.CHTMLlength2em(r.lineleading,0.5);c.BBOX.empty(this.CHTML);var p=c.addElement(k,"mjx-stack");var h={BBOX:this.CHTML,n:0,Y:0,scale:(this.CHTML.scale||1),isTop:o,values:{},VALUES:r},n=this.CHTMLgetAlign(h,{}),j=this.CHTMLgetShift(h,{},n),i=[],l={index:[],penalty:f.nobreak,w:0,W:j,shift:j,scanW:j,nest:0},m=false;while(this.CHTMLbetterBreak(l,h,true)&&(l.scanW>=c.linebreakWidth||l.penalty===f.newline)){this.CHTMLaddLine(p,i,l.index,h,l.values,m);i=l.index.slice(0);m=true;n=this.CHTMLgetAlign(h,l.values);j=this.CHTMLgetShift(h,l.values,n);l.W=l.shift=l.scanW=j;l.penalty=f.nobreak}h.isLast=true;this.CHTMLaddLine(p,i,[],h,d,m);k.style.width=p.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=c.Em(this.CHTML.w);this.CHTML.isMultiline=q.CHTML.isMultiline=true;p.style.verticalAlign=c.Em(h.d-this.CHTML.d);return k},CHTMLbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().CHTMLbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p0){var p=c.FONTDATA.baselineskip;var l=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;var i=h.Y;h.Y-=Math.max(p,h.d+u.h+l);m=i-h.Y-h.d-u.h}if(k){v.style.margin="0 "+c.Em(-k)+" 0 "+c.Em(k)}if(r!==b.INDENTALIGN.LEFT){n.style.textAlign=r}if(m){n.style.paddingTop=c.Em(m)}h.BBOX.combine(u,k,h.Y);h.d=h.bbox.d;h.values=t;h.n++},CHTMLgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===b.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===b.INDENTALIGN.AUTO){m=(k.isTop?a.displayAlign:b.INDENTALIGN.LEFT)}return m},CHTMLgetShift:function(h,p,n,l){var o=p,m=h.values,i=h.VALUES,j;if(h.n===0){j=o.indentshiftfirst||m.indentshiftfirst||i.indentshiftfirst}else{if(h.isLast){j=m.indentshiftlast||i.indentshiftlast}else{j=m.indentshift||i.indentshift}}if(j===b.INDENTSHIFT.INDENTSHIFT){j=m.indentshift||i.indentshift}if(j==="auto"||j===""){j="0"}j=this.CHTMLlength2em(j,c.cwidth);if(h.isTop&&a.displayIndent!=="0"){var k=this.CHTMLlength2em(a.displayIndent,c.cwidth);j+=(n===b.INDENTALIGN.RIGHT?-k:k)}return(n===b.INDENTALIGN.RIGHT&&!l?-j:j)},CHTMLmoveLine:function(q,h,o,p,k){var m=q[0],l=h[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&q.length>1){this.data[m].CHTMLmoveSlice(q.slice(1),h.slice(1),o,p,k,"marginLeft")}else{var n=p.last;p.last=false;while(m0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s1){this.data[this.dataI[q]].CHTMLmoveSlice(l.slice(1),o.slice(1),m,h,s,"marginLeft")}else{var r=h.last;h.last=false;var n=this.dataI[q];while(q0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.CHTML.baseW=this.data[this.base].CHTML.w;this.CHTML.dw=this.CHTML.w-this.CHTML.baseW}if(this.data[this.base].CHTMLbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===f.newline){j=o=true}}if(!o){this.CHTMLaddWidth(this.base,k,l)}k.scanW+=this.CHTML.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},CHTMLmoveLine:function(j,n,m,i,r){if(this.data[this.base]){var k=c.addElement(m,"mjx-base");if(j.length>1){this.data[this.base].CHTMLmoveSlice(j.slice(1),n.slice(1),k,i,r,"marginLeft")}else{if(n.length<=1){this.data[this.base].CHTMLmoveNode(k,i,r)}else{this.data[this.base].CHTMLmoveSlice([],n.slice(1),k,i,r,"marginRight")}}}if(n.length===0){var l=this.CHTMLnodeElement(),p=c.getNode(l,"mjx-stack"),o=c.getNode(l,"mjx-sup"),h=c.getNode(l,"mjx-sub");if(p){m.appendChild(p)}else{if(o){m.appendChild(o)}else{if(h){m.appendChild(h)}}}var q=i.bbox.w,s;if(o){s=this.data[this.sup].CHTML;i.bbox.combine(s,q,s.Y)}if(h){s=this.data[this.sub].CHTML;i.bbox.combine(s,q,s.Y)}}}});b.mmultiscripts.Augment({CHTMLbetterBreak:function(l,i){if(!this.data[this.base]){return false}var p=l.index.slice(0);l.index.shift();var n,q,m,o=(l.index.length>0),k=false;if(!o){l.W+=l.w;l.w=0}l.scanW=l.W;var r=this.CHTML,j=this.data[this.base].CHTML;var h=r.w-j.w-(r.X||0);l.scanW+=r.X||0;m=l.scanW;if(this.data[this.base].CHTMLbetterBreak(l,i)){k=true;p=[this.base].concat(l.index);n=l.W;q=l.w;if(l.penalty===f.newline){k=o=true}}if(!o){this.CHTMLaddWidth(this.base,l,m)}l.scanW+=h;l.W=l.scanW;l.index=[];if(k){l.W=n;l.w=q;l.index=p}return k},CHTMLmoveLine:function(m,p,o,j,v){var n,i=this.CHTMLbbox,u;if(m.length<1){n=this.CHTMLnodeElement();var r=c.getNode(n,"mjx-prestack"),s=c.getNode(n,"mjx-presup"),l=c.getNode(n,"mjx-presub");if(r){o.appendChild(r)}else{if(s){o.appendChild(s)}else{if(l){o.appendChild(l)}}}u=j.bbox.w;if(s){j.bbox.combine(i.presup,u+i.presup.X,i.presup.Y)}if(l){j.bbox.combine(i.presub,u+i.presub.X,i.presub.Y)}}if(this.data[this.base]){var k=c.addElement(o,"mjx-base");if(m.length>1){this.data[this.base].CHTMLmoveSlice(m.slice(1),p.slice(1),k,j,v,"marginLeft")}else{if(p.length<=1){this.data[this.base].CHTMLmoveNode(k,j,v)}else{this.data[this.base].CHTMLmoveSlice([],p.slice(1),k,j,v,"marginRight")}}}if(p.length===0){n=this.CHTMLnodeElement();var t=c.getNode(n,"mjx-stack"),q=c.getNode(n,"mjx-sup"),h=c.getNode(n,"mjx-sub");if(t){o.appendChild(t)}else{if(q){o.appendChild(q)}else{if(h){o.appendChild(h)}}}u=j.bbox.w;if(q){j.bbox.combine(i.sup,u,i.sup.Y)}if(h){j.bbox.combine(i.sub,u,i.sub.Y)}}}});b.mo.Augment({CHTMLbetterBreak:function(j,h){if(j.values&&j.values.id===this.CHTMLnodeID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===b.TEXCLASS.OPEN){j.nest++}if(p.texClass===b.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW;delete j.embellished;var o=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(p.linebreakstyle===b.LINEBREAKSTYLE.AFTER){k+=o;o=0}if(k-j.shift===0&&p.linebreak!==b.LINEBREAK.NEWLINE){return false}var l=c.linebreakWidth-k;if(h.n===0&&(p.indentshiftfirst!==h.VALUES.indentshiftfirst||p.indentalignfirst!==h.VALUES.indentalignfirst)){var m=this.CHTMLgetAlign(h,p),i=this.CHTMLgetShift(h,p,m);l+=(j.shift-i)}var n=Math.floor(l/c.linebreakWidth*1000);if(n<0){n=f.toobig-3*n}if(p.fence){n+=f.fence}if((p.linebreakstyle===b.LINEBREAKSTYLE.AFTER&&p.texClass===b.TEXCLASS.OPEN)||p.texClass===b.TEXCLASS.CLOSE){n+=f.close}n+=j.nest*f.nestfactor;var q=f[p.linebreak||b.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(q)){if(q||l>=0){n=q*j.nest}}else{n=Math.max(1,n+q[0]*j.nest)}if(n>=j.penalty){return false}j.penalty=n;j.values=p;j.W=k;j.w=o;p.lineleading=this.CHTMLlength2em(p.lineleading,h.VALUES.lineleading);p.id=this.CHTMLnodeID;return true}});b.mspace.Augment({CHTMLbetterBreak:function(i,h){if(i.values&&i.values.id===this.CHTMLnodeID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=b.LINEBREAK.AUTO}var j=i.scanW,n=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(j-i.shift===0){return false}var k=c.linebreakWidth-j;var m=Math.floor(k/c.linebreakWidth*1000);if(m<0){m=f.toobig-3*m}m+=i.nest*f.nestfactor;var p=f[l]||0;if(l===b.LINEBREAK.AUTO&&n>=f.spacelimit&&!this.mathbackground&&!this.background){p=[(n+f.spaceoffset)*f.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||k>=0){m=p*i.nest}}else{m=Math.max(1,m+p[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=o;i.W=j;i.w=n;o.lineleading=h.VALUES.lineleading;o.linebreakstyle="before";o.id=this.CHTMLnodeID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){b.TeXmathchoice.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}})});b.maction.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}});b.semantics.Augment({CHTMLbetterBreak:function(i,h){return(this.data[0]?this.data[0].CHTMLbetterBreak(i,h):false)},CHTMLmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].CHTMLmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("CommonHTML multiline Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/multiline.js")}); diff --git a/jax/output/CommonHTML/config.js b/jax/output/CommonHTML/config.js index 030b7d5fbd..42b235b375 100644 --- a/jax/output/CommonHTML/config.js +++ b/jax/output/CommonHTML/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); +MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js"); diff --git a/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js b/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js index 6115361a4d..c979022feb 100644 --- a/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js +++ b/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(i){var n="2.7.5";var m=i.FONTDATA.DELIMITERS;var g="MathJax_Main",h="MathJax_Main-Bold",k="MathJax_AMS",e="MathJax_Size1",a="MathJax_Size4";var l="H",f="V";var j=[8722,g,0,0,0,-0.31,-0.31];var c=[61,g,0,0,0,0,0.1];var d={61:{dir:l,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:l,HW:[[1,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,g],rep:j,right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:l,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:j,right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,k]],stretch:{top:[8624,k],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,k]],stretch:{top:[8625,k,0.27],ext:[9168,e]}},8636:{dir:l,HW:[[1,g]],stretch:{left:[8636,g],rep:j}},8637:{dir:l,HW:[[1,g]],stretch:{left:[8637,g],rep:j}},8638:{dir:f,HW:[[0.888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,e]}},8640:{dir:l,HW:[[1,g]],stretch:{right:[8640,g],rep:j}},8641:{dir:l,HW:[[1,g]],stretch:{right:[8641,g],rep:j}},8642:{dir:f,HW:[[0.888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,e]}},8666:{dir:l,HW:[[1,k]],stretch:{left:[8666,k],rep:[8801,g]}},8667:{dir:l,HW:[[1,k]],stretch:{right:[8667,k],rep:[8801,g]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,g,0,0.35],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[0.778,k,0,8994],[1,g,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:l,HW:[[0.778,k,0,8995],[1,g,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,0,0.13],right:[715,g],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,g],rep:c,right:[8739,e,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:c,right:[8658,g]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,g],rep:j,right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,g],rep:j,right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8638,k,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8639,k,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}}};for(var b in d){if(d.hasOwnProperty(b)){m[b]=d[b]}}i.fontLoaded("TeX/fontdata-extra")})(MathJax.OutputJax.CommonHTML); +(function(i){var n="2.7.6";var m=i.FONTDATA.DELIMITERS;var g="MathJax_Main",h="MathJax_Main-Bold",k="MathJax_AMS",e="MathJax_Size1",a="MathJax_Size4";var l="H",f="V";var j=[8722,g,0,0,0,-0.31,-0.31];var c=[61,g,0,0,0,0,0.1];var d={61:{dir:l,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:l,HW:[[1,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,g],rep:j,right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:l,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:j,right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,k]],stretch:{top:[8624,k],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,k]],stretch:{top:[8625,k,0.27],ext:[9168,e]}},8636:{dir:l,HW:[[1,g]],stretch:{left:[8636,g],rep:j}},8637:{dir:l,HW:[[1,g]],stretch:{left:[8637,g],rep:j}},8638:{dir:f,HW:[[0.888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,e]}},8640:{dir:l,HW:[[1,g]],stretch:{right:[8640,g],rep:j}},8641:{dir:l,HW:[[1,g]],stretch:{right:[8641,g],rep:j}},8642:{dir:f,HW:[[0.888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,e]}},8666:{dir:l,HW:[[1,k]],stretch:{left:[8666,k],rep:[8801,g]}},8667:{dir:l,HW:[[1,k]],stretch:{right:[8667,k],rep:[8801,g]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,g,0,0.35],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[0.778,k,0,8994],[1,g,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:l,HW:[[0.778,k,0,8995],[1,g,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,0,0.13],right:[715,g],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,g],rep:c,right:[8739,e,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:c,right:[8658,g]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,g],rep:j,right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,g],rep:j,right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8638,k,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8639,k,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}}};for(var b in d){if(d.hasOwnProperty(b)){m[b]=d[b]}}i.fontLoaded("TeX/fontdata-extra")})(MathJax.OutputJax.CommonHTML); diff --git a/jax/output/CommonHTML/fonts/TeX/fontdata.js b/jax/output/CommonHTML/fonts/TeX/fontdata.js index a357050c77..44cf3ff7da 100644 --- a/jax/output/CommonHTML/fonts/TeX/fontdata.js +++ b/jax/output/CommonHTML/fonts/TeX/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(a,c,r){var q="2.7.5";var m="MathJax_Main",s="MathJax_Main-Bold",o="MathJax_Math-Italic",i="MathJax_AMS",h="MathJax_Size1",g="MathJax_Size2",f="MathJax_Size3",d="MathJax_Size4";var j="H",b="V",l={load:"extra",dir:j},e={load:"extra",dir:b};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];var p=a.config.undefinedFamily;MathJax.Hub.Insert(a.config.styles,{".MJXc-TeX-unknown-R":{"font-family":p,"font-style":"normal","font-weight":"normal"},".MJXc-TeX-unknown-I":{"font-family":p,"font-style":"italic","font-weight":"normal"},".MJXc-TeX-unknown-B":{"font-family":p,"font-style":"normal","font-weight":"bold"},".MJXc-TeX-unknown-BI":{"font-family":p,"font-style":"italic","font-weight":"bold"}});a.TEX=a.TEXDEF;a.FONTDEF.TeX={version:q,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{MathJax_AMS:"TeX/AMS-Regular.js","MathJax_Caligraphic-Bold":"TeX/Caligraphic-Bold.js",MathJax_Fraktur:"TeX/Fraktur-Regular.js","MathJax_Fraktur-Bold":"TeX/Fraktur-Bold.js","MathJax_Math-BoldItalic":"TeX/Math-BoldItalic.js",MathJax_SansSerif:"TeX/SansSerif-Regular.js","MathJax_SansSerif-Bold":"TeX/SansSerif-Bold.js","MathJax_SansSerif-Italic":"TeX/SansSerif-Italic.js",MathJax_Script:"TeX/Script-Regular.js",MathJax_Typewriter:"TeX/Typewriter-Regular.js"},UNKNOWN:{R:{className:"MJXc-TeX-unknown-R"},I:{className:"MJXc-TeX-unknown-I"},B:{className:"MJXc-TeX-unknown-B"},BI:{className:"MJXc-TeX-unknown-BI"}},VARIANT:{normal:{fonts:[m,h,i],cache:{},offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,57696:[8594,"-TeX-vec"],8214:8741,8726:[8726,"-TeX-variant",true],8463:[8463,"-TeX-variant",true],8242:[39,"sans-serif-italic"],10744:[47,c.VARIANT.ITALIC]}},bold:{fonts:[s],bold:true,cache:{},chain:"normal",offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],57696:[8594,"-TeX-vec-bold"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-Italic"],italic:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-BoldItalic"],bold:true,italic:true,cache:{},chain:"bold",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m,h],cache:{}},fraktur:{fonts:["MathJax_Fraktur"],cache:{},chain:"normal"},"bold-fraktur":{fonts:["MathJax_Fraktur-Bold"],bold:true,cache:{},chain:"bold"},script:{fonts:["MathJax_Script"],cache:{},chain:"normal"},"bold-script":{fonts:["MathJax_Script"],bold:true,cache:{},chain:"bold"},"sans-serif":{fonts:["MathJax_SansSerif"],cache:{},chain:"normal"},"bold-sans-serif":{fonts:["MathJax_SansSerif-Bold"],bold:true,cache:{},chain:"bold"},"sans-serif-italic":{fonts:["MathJax_SansSerif-Italic"],italic:true,cache:{},chain:"italic"},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-Italic"],bold:true,italic:true,cache:{},chain:"italic"},monospace:{fonts:["MathJax_Typewriter"],cache:{},chain:"normal"},"-tex-caligraphic":{fonts:["MathJax_Caligraphic"],offsetA:65,variantA:"italic",cache:{},chain:"normal"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic"],cache:{},chain:"normal"},"-tex-mathit":{fonts:["MathJax_Main-Italic"],italic:true,noIC:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,h],cache:{},remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,c.VARIANT.NORMAL,true],8463:[8463,c.VARIANT.NORMAL,true]}},"-TeX-vec":{fonts:["MathJax_Vector"],cache:{}},"-TeX-vec-bold":{fonts:["MathJax_Vector-Bold"],cache:{}},"-largeOp":{fonts:[g,h,m,i],cache:{}},"-smallOp":{fonts:[h,m,i],cache:{}},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal",offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal"}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],REMAP:{10:32,8254:713,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,c.VARIANT.DOUBLESTRUCK],8459:[72,c.VARIANT.SCRIPT],8460:[72,c.VARIANT.FRAKTUR],8461:[72,c.VARIANT.DOUBLESTRUCK],8462:[104,c.VARIANT.ITALIC],8464:[74,c.VARIANT.SCRIPT],8465:[73,c.VARIANT.FRAKTUR],8466:[76,c.VARIANT.SCRIPT],8469:[78,c.VARIANT.DOUBLESTRUCK],8473:[80,c.VARIANT.DOUBLESTRUCK],8474:[81,c.VARIANT.DOUBLESTRUCK],8475:[82,c.VARIANT.SCRIPT],8476:[82,c.VARIANT.FRAKTUR],8477:[82,c.VARIANT.DOUBLESTRUCK],8484:[90,c.VARIANT.DOUBLESTRUCK],8486:[937,c.VARIANT.NORMAL],8488:[90,c.VARIANT.FRAKTUR],8492:[66,c.VARIANT.SCRIPT],8493:[67,c.VARIANT.FRAKTUR],8496:[69,c.VARIANT.SCRIPT],8497:[70,c.VARIANT.SCRIPT],8499:[77,c.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",},REMAPACCENT:{"\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030A":"\u02DA","\u030C":"\u02C7","\u20D7":"\uE160","\u2192":"\uE160","\u2032":"'","\u2035":"`","\u20D0":"\u21BC","\u20D1":"\u21C0","\u20D6":"\u2190","\u20E1":"\u2194","\u20F0":"*","\u20DB":"...","\u20DC":"...."},REMAPACCENTUNDER:{"\u20EC":"\u21C1","\u20ED":"\u21BD","\u20EE":"\u2190","\u20EF":"\u2192","\u20DB":"...","\u20DC":"...."},PLANE1MAP:[[119808,119833,65,c.VARIANT.BOLD],[119834,119859,97,c.VARIANT.BOLD],[119860,119885,65,c.VARIANT.ITALIC],[119886,119911,97,c.VARIANT.ITALIC],[119912,119937,65,c.VARIANT.BOLDITALIC],[119938,119963,97,c.VARIANT.BOLDITALIC],[119964,119989,65,c.VARIANT.SCRIPT],[120068,120093,65,c.VARIANT.FRAKTUR],[120094,120119,97,c.VARIANT.FRAKTUR],[120120,120145,65,c.VARIANT.DOUBLESTRUCK],[120172,120197,65,c.VARIANT.BOLDFRAKTUR],[120198,120223,97,c.VARIANT.BOLDFRAKTUR],[120224,120249,65,c.VARIANT.SANSSERIF],[120250,120275,97,c.VARIANT.SANSSERIF],[120276,120301,65,c.VARIANT.BOLDSANSSERIF],[120302,120327,97,c.VARIANT.BOLDSANSSERIF],[120328,120353,65,c.VARIANT.SANSSERIFITALIC],[120354,120379,97,c.VARIANT.SANSSERIFITALIC],[120432,120457,65,c.VARIANT.MONOSPACE],[120458,120483,97,c.VARIANT.MONOSPACE],[120488,120513,913,c.VARIANT.BOLD],[120546,120570,913,c.VARIANT.ITALIC],[120572,120603,945,c.VARIANT.ITALIC],[120604,120628,913,c.VARIANT.BOLDITALIC],[120630,120661,945,c.VARIANT.BOLDITALIC],[120662,120686,913,c.VARIANT.BOLDSANSSERIF],[120720,120744,913,c.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,c.VARIANT.BOLD],[120802,120811,48,c.VARIANT.SANSSERIF],[120812,120821,48,c.VARIANT.BOLDSANSSERIF],[120822,120831,48,c.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(w,v){for(var u=0,t=this.PLANE1MAP.length;u\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-Italic"],italic:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-BoldItalic"],bold:true,italic:true,cache:{},chain:"bold",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m,h],cache:{}},fraktur:{fonts:["MathJax_Fraktur"],cache:{},chain:"normal"},"bold-fraktur":{fonts:["MathJax_Fraktur-Bold"],bold:true,cache:{},chain:"bold"},script:{fonts:["MathJax_Script"],cache:{},chain:"normal"},"bold-script":{fonts:["MathJax_Script"],bold:true,cache:{},chain:"bold"},"sans-serif":{fonts:["MathJax_SansSerif"],cache:{},chain:"normal"},"bold-sans-serif":{fonts:["MathJax_SansSerif-Bold"],bold:true,cache:{},chain:"bold"},"sans-serif-italic":{fonts:["MathJax_SansSerif-Italic"],italic:true,cache:{},chain:"italic"},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-Italic"],bold:true,italic:true,cache:{},chain:"italic"},monospace:{fonts:["MathJax_Typewriter"],cache:{},chain:"normal"},"-tex-caligraphic":{fonts:["MathJax_Caligraphic"],offsetA:65,variantA:"italic",cache:{},chain:"normal"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic"],cache:{},chain:"normal"},"-tex-mathit":{fonts:["MathJax_Main-Italic"],italic:true,noIC:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,h],cache:{},remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,c.VARIANT.NORMAL,true],8463:[8463,c.VARIANT.NORMAL,true]}},"-TeX-vec":{fonts:["MathJax_Vector"],cache:{}},"-TeX-vec-bold":{fonts:["MathJax_Vector-Bold"],cache:{}},"-largeOp":{fonts:[g,h,m,i],cache:{}},"-smallOp":{fonts:[h,m,i],cache:{}},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal",offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal"}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],REMAP:{10:32,8254:713,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,c.VARIANT.DOUBLESTRUCK],8459:[72,c.VARIANT.SCRIPT],8460:[72,c.VARIANT.FRAKTUR],8461:[72,c.VARIANT.DOUBLESTRUCK],8462:[104,c.VARIANT.ITALIC],8464:[74,c.VARIANT.SCRIPT],8465:[73,c.VARIANT.FRAKTUR],8466:[76,c.VARIANT.SCRIPT],8469:[78,c.VARIANT.DOUBLESTRUCK],8473:[80,c.VARIANT.DOUBLESTRUCK],8474:[81,c.VARIANT.DOUBLESTRUCK],8475:[82,c.VARIANT.SCRIPT],8476:[82,c.VARIANT.FRAKTUR],8477:[82,c.VARIANT.DOUBLESTRUCK],8484:[90,c.VARIANT.DOUBLESTRUCK],8486:[937,c.VARIANT.NORMAL],8488:[90,c.VARIANT.FRAKTUR],8492:[66,c.VARIANT.SCRIPT],8493:[67,c.VARIANT.FRAKTUR],8496:[69,c.VARIANT.SCRIPT],8497:[70,c.VARIANT.SCRIPT],8499:[77,c.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",},REMAPACCENT:{"\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030A":"\u02DA","\u030C":"\u02C7","\u20D7":"\uE160","\u2192":"\uE160","\u2032":"'","\u2035":"`","\u20D0":"\u21BC","\u20D1":"\u21C0","\u20D6":"\u2190","\u20E1":"\u2194","\u20F0":"*","\u20DB":"...","\u20DC":"...."},REMAPACCENTUNDER:{"\u20EC":"\u21C1","\u20ED":"\u21BD","\u20EE":"\u2190","\u20EF":"\u2192","\u20DB":"...","\u20DC":"...."},PLANE1MAP:[[119808,119833,65,c.VARIANT.BOLD],[119834,119859,97,c.VARIANT.BOLD],[119860,119885,65,c.VARIANT.ITALIC],[119886,119911,97,c.VARIANT.ITALIC],[119912,119937,65,c.VARIANT.BOLDITALIC],[119938,119963,97,c.VARIANT.BOLDITALIC],[119964,119989,65,c.VARIANT.SCRIPT],[120068,120093,65,c.VARIANT.FRAKTUR],[120094,120119,97,c.VARIANT.FRAKTUR],[120120,120145,65,c.VARIANT.DOUBLESTRUCK],[120172,120197,65,c.VARIANT.BOLDFRAKTUR],[120198,120223,97,c.VARIANT.BOLDFRAKTUR],[120224,120249,65,c.VARIANT.SANSSERIF],[120250,120275,97,c.VARIANT.SANSSERIF],[120276,120301,65,c.VARIANT.BOLDSANSSERIF],[120302,120327,97,c.VARIANT.BOLDSANSSERIF],[120328,120353,65,c.VARIANT.SANSSERIFITALIC],[120354,120379,97,c.VARIANT.SANSSERIFITALIC],[120432,120457,65,c.VARIANT.MONOSPACE],[120458,120483,97,c.VARIANT.MONOSPACE],[120488,120513,913,c.VARIANT.BOLD],[120546,120570,913,c.VARIANT.ITALIC],[120572,120603,945,c.VARIANT.ITALIC],[120604,120628,913,c.VARIANT.BOLDITALIC],[120630,120661,945,c.VARIANT.BOLDITALIC],[120662,120686,913,c.VARIANT.BOLDSANSSERIF],[120720,120744,913,c.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,c.VARIANT.BOLD],[120802,120811,48,c.VARIANT.SANSSERIF],[120812,120821,48,c.VARIANT.BOLDSANSSERIF],[120822,120831,48,c.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(w,v){for(var u=0,t=this.PLANE1MAP.length;uthis.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='';var q=p.insertBefore(e.TestSpan.cloneNode(true),p.firstChild);var l=q.childNodes[1].offsetHeight/60,h=q.childNodes[2].offsetHeight/60;q.parentNode.removeChild(q);e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="2.7.6";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(j,h,l){var i=this.selected();if(i.type=="null"){j=this.HTMLcreateSpan(j);j.bbox=this.HTMLzeroBBox();return j}j=this.HTMLcreateSpan(j);j.bbox=null;j.scale=this.HTMLgetScale();var k=i.toHTML(j);if(l!=null){e.Remeasured(i.HTMLstretchV(j,h,l),j)}else{if(h!=null){e.Remeasured(i.HTMLstretchH(j,h),j)}else{e.Measured(k,j)}}this.HTMLhandleHitBox(j);this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLhandleHitBox:function(i,l){var k;if(e.msieHitBoxBug){var j=e.addElement(i,"span",{isMathJax:true});k=e.createFrame(j,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(j,i.firstChild);j.style.marginRight=e.Em(-i.bbox.w);if(e.msieInlineBlockAlignBug){k.style.verticalAlign=e.Em(e.getHD(i).d-i.bbox.d)}}else{k=e.createFrame(i,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(k,i.firstChild);k.style.marginRight=e.Em(-i.bbox.w)}k.className="MathJax_HitBox";k.id="MathJax-HitBox-"+this.spanID+(l||"")+e.idPostfix;var h=this.Get("actiontype");if(this.HTMLaction[h]){this.HTMLaction[h].call(this,i,k,this.Get("selection"))}},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;i.onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){i.onmouseover=MathJax.Callback(["HTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["HTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true;j.style.cursor=i.childNodes[1].style.cursor="default"},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);i.onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}j.style.cursor=i.childNodes[1].style.cursor="default"}},HTMLclick:function(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='';var q=p.insertBefore(e.TestSpan.cloneNode(true),p.firstChild);var l=q.childNodes[1].offsetHeight/60,h=q.childNodes[2].offsetHeight/60;q.parentNode.removeChild(q);e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")}); diff --git a/jax/output/HTML-CSS/autoload/menclose.js b/jax/output/HTML-CSS/autoload/menclose.js index 66f407c358..3d52246f37 100644 --- a/jax/output/HTML-CSS/autoload/menclose.js +++ b/jax/output/HTML-CSS/autoload/menclose.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(ac){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}ac=this.HTMLcreateSpan(ac);var V=this.HTMLgetMu(ac),af=this.HTMLgetScale();var X=b.length2em(j.padding,V,1/b.em)*af;var N=b.length2em(j.thickness,V,1/b.em)*af;N=Math.max(1/b.em,N);var E=b.Em(N)+" solid";var z=b.createStack(ac);var v=b.createBox(z);this.HTMLmeasureChild(0,v);var K=v.bbox.h+X+N,P=v.bbox.d+X+N,o=v.bbox.w+2*(X+N);var O=b.createFrame(z,K+P,0,o,N,"none");O.id="MathJax-frame-"+this.spanID;b.addBox(z,O);z.insertBefore(O,v);var s=0,U=0,u=0,A=0,M=0,J=0;var S,g;var I,ad,Q;if(!j.mathcolor){j.mathcolor="currentColor"}else{ac.style.color=j.mathcolor}var k=MathJax.Hub.SplitList(j.notation),q={};for(var ab=0,Z=k.length;abj.bbox.rw){j.bbox.rw=j.bbox.w}if(k.bbox.h>j.bbox.h){j.bbox.h=k.bbox.h}if(k.bbox.d>j.bbox.d){j.bbox.d=k.bbox.d}}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"],d=MathJax.Localization;a.mglyph.Augment({toHTML:function(k,g){var j=k,l=this.getValues("src","width","height","valign","alt"),f;k=this.HTMLcreateSpan(k);if(l.src===""){var i=this.Get("index");if(i){g=this.HTMLgetVariant();var e=g.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(i)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(k,g,String.fromCharCode(i))}else{if(l.alt===""){l.alt=d._(["MathML","BadMglyphFont"],"Bad font: %1",e.family)}f=a.Error(l.alt,{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[l.src]}if(!this.img){this.img=a.mglyph.GLYPH[l.src]={img:new Image(),status:"pending"};var h=this.img.img;h.onload=MathJax.Callback(["HTMLimgLoaded",this]);h.onerror=MathJax.Callback(["HTMLimgError",this]);h.src=l.src;MathJax.Hub.RestartAfter(h.onload)}if(this.img.status!=="OK"){f=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",l.src),{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}else{var m=this.HTMLgetMu(k);h=b.addElement(k,"img",{isMathJax:true,src:l.src,alt:l.alt,title:l.alt});if(l.width){h.style.width=b.Em(b.length2em(l.width,m,this.img.img.width/b.em))}if(l.height){h.style.height=b.Em(b.length2em(l.height,m,this.img.img.height/b.em))}k.bbox.w=k.bbox.rw=h.offsetWidth/b.em;k.bbox.h=h.offsetHeight/b.em;if(l.valign){k.bbox.d=-b.length2em(l.valign,m,this.img.img.height/b.em);h.style.verticalAlign=b.Em(-k.bbox.d);k.bbox.h-=k.bbox.d}}}if(!j.bbox){j.bbox={w:k.bbox.w,h:k.bbox.h,d:k.bbox.d,rw:k.bbox.rw,lw:k.bbox.lw}}else{if(k.bbox){j.bbox.w+=k.bbox.w;if(j.bbox.w>j.bbox.rw){j.bbox.rw=j.bbox.w}if(k.bbox.h>j.bbox.h){j.bbox.h=k.bbox.h}if(k.bbox.d>j.bbox.d){j.bbox.d=k.bbox.d}}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")}); diff --git a/jax/output/HTML-CSS/autoload/mmultiscripts.js b/jax/output/HTML-CSS/autoload/mmultiscripts.js index 0d0de1b638..d14722d4d9 100644 --- a/jax/output/HTML-CSS/autoload/mmultiscripts.js +++ b/jax/output/HTML-CSS/autoload/mmultiscripts.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(L,J,E){L=this.HTMLcreateSpan(L);var R=this.HTMLgetScale();var n=b.createStack(L),g;var l=b.createBox(n);if(this.data[this.base]){var m=this.data[this.base].toHTML(l);if(E!=null){this.data[this.base].HTMLstretchV(l,J,E)}else{if(J!=null){this.data[this.base].HTMLstretchH(l,J)}}b.Measured(m,l)}else{l.bbox=this.HTMLzeroBBox()}var P=b.TeX.x_height*R,C=b.TeX.scriptspace*R*0.75;var B=this.HTMLgetScripts(n,C);var o=B[0],f=B[1],y=B[2],k=B[3];var j=R;for(var M=1;M0){z+=G;x-=G}}z=Math.max(z,K.superscriptshift);x=Math.max(x,K.subscriptshift);if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,w+Q-k.bbox.w,z)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,w-y.bbox.w,-x)}}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);var e=L.bbox;e.dx=w;e.s=C;e.u=z;e.v=x;e.delta=Q;e.px=w+l.bbox.w;return L},HTMLgetScripts:function(r,u){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o0){if(f){this.HTMLmoveColor(q[l],t,1);e[l].w+=t}else{b.createBlank(d,t)}}else{if(t<0){if(f){this.HTMLmoveColor(q[l+1],-t,-1);e[l+1].w+=-t}else{b.createBlank(p,-t)}}}this.HTMLcombineBBoxes(q[l],d.bbox);this.HTMLcombineBBoxes(q[l+1],p.bbox);if(t>0){d.bbox.w=p.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(t<0){p.bbox.w=d.bbox.w;p.bbox.rw=Math.max(p.bbox.w,p.bbox.rw)}}}else{if(d){this.HTMLcombineBBoxes(q[l],d.bbox)}if(p){this.HTMLcombineBBoxes(q[l+1],p.bbox)}}if(d){g=d.bbox.w}else{if(p){g=p.bbox.w}}}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].bbox.w+=u;e[n].bbox.rw=Math.max(e[n].bbox.w,e[n].bbox.rw);e[n].bbox.name=(["sub","sup","presub","presup"])[n];this.HTMLcleanBBox(e[n].bbox)}}return e},HTMLmoveColor:function(h,f,e){var d=f/(h.scale||1);h.style.paddingLeft=b.Em(d);var g=h.previousSibling;if(g&&(g.id||"").match(/^MathJax-Color-/)){g.style.marginLeft=b.Em(d+parseFloat(g.style.marginLeft));g.style.marginRight=b.Em(e*(d-parseFloat(g.style.marginRight)))}},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(L,J,E){L=this.HTMLcreateSpan(L);var R=this.HTMLgetScale();var n=b.createStack(L),g;var l=b.createBox(n);if(this.data[this.base]){var m=this.data[this.base].toHTML(l);if(E!=null){this.data[this.base].HTMLstretchV(l,J,E)}else{if(J!=null){this.data[this.base].HTMLstretchH(l,J)}}b.Measured(m,l)}else{l.bbox=this.HTMLzeroBBox()}var P=b.TeX.x_height*R,C=b.TeX.scriptspace*R*0.75;var B=this.HTMLgetScripts(n,C);var o=B[0],f=B[1],y=B[2],k=B[3];var j=R;for(var M=1;M0){z+=G;x-=G}}z=Math.max(z,K.superscriptshift);x=Math.max(x,K.subscriptshift);if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,w+Q-k.bbox.w,z)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,w-y.bbox.w,-x)}}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);var e=L.bbox;e.dx=w;e.s=C;e.u=z;e.v=x;e.delta=Q;e.px=w+l.bbox.w;return L},HTMLgetScripts:function(r,u){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o0){if(f){this.HTMLmoveColor(q[l],t,1);e[l].w+=t}else{b.createBlank(d,t)}}else{if(t<0){if(f){this.HTMLmoveColor(q[l+1],-t,-1);e[l+1].w+=-t}else{b.createBlank(p,-t)}}}this.HTMLcombineBBoxes(q[l],d.bbox);this.HTMLcombineBBoxes(q[l+1],p.bbox);if(t>0){d.bbox.w=p.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(t<0){p.bbox.w=d.bbox.w;p.bbox.rw=Math.max(p.bbox.w,p.bbox.rw)}}}else{if(d){this.HTMLcombineBBoxes(q[l],d.bbox)}if(p){this.HTMLcombineBBoxes(q[l+1],p.bbox)}}if(d){g=d.bbox.w}else{if(p){g=p.bbox.w}}}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].bbox.w+=u;e[n].bbox.rw=Math.max(e[n].bbox.w,e[n].bbox.rw);e[n].bbox.name=(["sub","sup","presub","presup"])[n];this.HTMLcleanBBox(e[n].bbox)}}return e},HTMLmoveColor:function(h,f,e){var d=f/(h.scale||1);h.style.paddingLeft=b.Em(d);var g=h.previousSibling;if(g&&(g.id||"").match(/^MathJax-Color-/)){g.style.marginLeft=b.Em(d+parseFloat(g.style.marginLeft));g.style.marginRight=b.Em(e*(d-parseFloat(g.style.marginRight)))}},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")}); diff --git a/jax/output/HTML-CSS/autoload/ms.js b/jax/output/HTML-CSS/autoload/ms.js index 8c0681d5d6..a50c0ab304 100644 --- a/jax/output/HTML-CSS/autoload/ms.js +++ b/jax/output/HTML-CSS/autoload/ms.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.HTMLhandleVariant(e,this.HTMLgetVariant(),f);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e}});MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.HTMLhandleVariant(e,this.HTMLgetVariant(),f);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e}});MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")}); diff --git a/jax/output/HTML-CSS/autoload/mtable.js b/jax/output/HTML-CSS/autoload/mtable.js index a47d68dde8..b1b2d37825 100644 --- a/jax/output/HTML-CSS/autoload/mtable.js +++ b/jax/output/HTML-CSS/autoload/mtable.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;aeap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;aeaq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;aeaw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;aeaq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(aeX*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")}); diff --git a/jax/output/HTML-CSS/autoload/multiline.js b/jax/output/HTML-CSS/autoload/multiline.js index 9300e0ab8a..5cee9ea1be 100644 --- a/jax/output/HTML-CSS/autoload/multiline.js +++ b/jax/output/HTML-CSS/autoload/multiline.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.5";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var f=a.mo().With({HTMLspanElement:function(){return{bbox:{w:0},style:{}}}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(o){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var m=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=b.length2em(q.lineleading,1,0.5);this.HTMLremoveColor(o);var n=b.createStack(o);this.HTMLgetScale();var g={n:0,Y:0,scale:this.scale||1,isTop:m,values:{},VALUES:q},l=this.HTMLgetAlign(g,{}),i=this.HTMLgetShift(g,{},l),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},k=false;while(this.HTMLbetterBreak(j,g,true)&&(j.scanW>=b.linebreakWidth||j.penalty===e.newline)){this.HTMLaddLine(n,h,j.index,g,j.values,k);h=j.index.slice(0);k=true;l=this.HTMLgetAlign(g,j.values);i=this.HTMLgetShift(g,j.values,l);if(l===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.HTMLaddLine(n,h,[],g,c,k);if(m){n.style.width="100%";if(p.type==="math"){o.bbox.width="100%"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);o.bbox.isMultiline=true;return o},HTMLbetterBreak:function(k,g,r){if(this.isToken){return false}if(this.isEmbellished()){k.embellished=this;return this.CoreMO().HTMLbetterBreak(k,g)}if(this.linebreakContainer){return false}var q=k.index.slice(0),o=k.index.shift(),n=this.data.length,l,s,j,p=(k.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;k.W+=k.w;k.w=0}j=k.scanW=k.W;k.nest++;while(o0){var l=b.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading*g.scale;g.Y-=Math.max(l,g.d+line.bbox.h+j)}b.alignBox(line,n,g.Y,i);g.d=line.bbox.d;g.values=p;g.n++},HTMLgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},HTMLgetShift:function(l,i,n){var m=i,j=l.values,k=l.VALUES,h;if(l.n===0){h=m.indentshiftfirst||j.indentshiftfirst||k.indentshiftfirst}else{if(l.isLast){h=j.indentshiftlast||k.indentshiftlast}else{h=j.indentshift||k.indentshift}}if(h===a.INDENTSHIFT.INDENTSHIFT){h=j.indentshift||k.indentshift}if(h==="auto"||h===""){h="0"}h=b.length2em(h,1,b.cwidth);if(l.isTop&&this.displayIndent!=="0"){var g=b.length2em(this.displayIndent,1,b.cwidth);h+=(n===a.INDENTALIGN.RIGHT?-g:g)}return h},HTMLmoveLine:function(p,g,m,o,h){var l=p[0],k=g[0];if(l==null){l=-1}if(k==null){k=this.data.length-1}if(l===k&&p.length>1){this.data[l].HTMLmoveSlice(p.slice(1),g.slice(1),m,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(l0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r1){this.data[this.dataI[o]].HTMLmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.HTMLaddWidth(this.base,j,k)}j.scanW+=this.HTMLdw;j.W=j.scanW;j.index=[];if(h){j.W=l;j.w=p;j.index=o}return h},HTMLmoveLine:function(n,h,k,m,i){if(this.data[this.base]){if(n.length>1){this.data[this.base].HTMLmoveSlice(n.slice(1),h.slice(1),k,m,i,"paddingLeft")}else{if(h.length<=1){this.data[this.base].HTMLmoveSpan(k,m,i)}else{this.data[this.base].HTMLmoveSlice([],h.slice(1),k,m,i,"paddingRight")}}}if(h.length===0){var j=this.data[this.sup]||this.data[this.sub];if(j&&this.HTMLnotEmpty(j)){var l=j.HTMLspanElement().parentNode;if(j.href){l=l.parentNode}var g=l.parentNode;if(this.data[this.base]){g.removeChild(g.firstChild)}for(l=g.firstChild;l;l=l.nextSibling){l.style.left=b.Em(b.unEm(l.style.left)-this.HTMLbaseW)}g.bbox.w-=this.HTMLbaseW;g.style.width=b.Em(g.bbox.w);this.HTMLcombineBBoxes(g,k.bbox);k.appendChild(g)}}}});a.mmultiscripts.Augment({HTMLbetterBreak:function(k,h){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var q=this.HTMLspanElement().bbox,i=this.data[this.base].HTMLspanElement().bbox;var g=q.w-i.w;k.scanW+=q.dx;l=k.scanW;if(this.data[this.base].HTMLbetterBreak(k,h)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.HTMLaddWidth(this.base,k,l)}k.scanW+=g;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},HTMLmoveLine:function(i,j,p,h,q){var n=this.HTMLspanElement(),l=n.bbox,o=n.firstChild,g={};if(b.msiePaddingWidthBug){o=o.nextSibling}var m=o.firstChild;while(m){if(m.bbox&&m.bbox.name){g[m.bbox.name]=m}m=m.nextSibling}if(i.length<1){if(g.presub||g.presup){var k=b.createStack(p);if(g.presup){b.addBox(k,g.presup);b.placeBox(g.presup,l.dx-g.presup.bbox.w,l.u)}if(g.presub){b.addBox(k,g.presub);b.placeBox(g.presub,l.dx+l.delta-g.presub.bbox.w,-l.v)}this.HTMLcombineBBoxes(k,p.bbox);p.appendChild(k);k.style.width=b.Em(l.dx)}}if(this.data[this.base]){if(i.length>1){this.data[this.base].HTMLmoveSlice(i.slice(1),j.slice(1),p,h,q,"paddingLeft")}else{if(j.length<=1){this.data[this.base].HTMLmoveSpan(p,h,q)}else{this.data[this.base].HTMLmoveSlice([],j.slice(1),p,h,q,"paddingRight")}}}if(j.length===0){if(this.data[this.base]){o.removeChild(o.firstChild)}for(m=o.firstChild;m;m=m.nextSibling){m.style.left=b.Em(b.unEm(m.style.left)-l.px)}o.bbox.w-=l.px;o.style.width=b.Em(o.bbox.w);this.HTMLcombineBBoxes(o,p.bbox);p.appendChild(o)}}});a.mo.Augment({HTMLbetterBreak:function(i,g){if(i.values&&i.values.id===this.spanID){return false}var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE&&i.nest){i.nest--}var j=i.scanW,k=(i.embellished||this);delete i.embellished;var o=k.HTMLspanElement(),p=o.bbox.w;if(o.style.paddingLeft){p+=b.unEm(o.style.paddingLeft)}if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0&&q.linebreak!==a.LINEBREAK.NEWLINE){return false}var l=b.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var m=this.HTMLgetAlign(g,q),h=this.HTMLgetShift(g,q,m);l+=(i.shift-h)}var n=Math.floor(l/b.linebreakWidth*1000);if(n<0){n=e.toobig-3*n}if(q.fence){n+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){n+=e.close}n+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(r)){if(r||l>=0){n=r*i.nest}}else{n=Math.max(1,n+r[0]*i.nest)}if(n>=i.penalty){return false}i.penalty=n;i.values=q;i.W=j;i.w=p;q.lineleading=b.length2em(q.lineleading,1,g.VALUES.lineleading);q.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(h,g){if(h.values&&h.values.id===this.spanID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=a.LINEBREAK.AUTO}var i=h.scanW,m=this.HTMLspanElement(),n=m.bbox.w;if(m.style.paddingLeft){n+=b.unEm(m.style.paddingLeft)}if(i-h.shift===0){return false}var j=b.linebreakWidth-i;var k=Math.floor(j/b.linebreakWidth*1000);if(k<0){k=e.toobig-3*k}k+=h.nest*e.nestfactor;var p=e[l]||0;if(l===a.LINEBREAK.AUTO&&n>=e.spacelimit&&!this.mathbackground&&!this.background){p=[(n+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||j>=0){k=p*h.nest}}else{k=Math.max(1,k+p[0]*h.nest)}if(k>=h.penalty){return false}h.penalty=k;h.values=o;h.W=i;h.w=n;o.lineleading=g.VALUES.lineleading;o.linebreakstyle="before";o.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)}})});a.maction.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)},HTMLmoveSlice:function(h,j,m,g,o,k){var p=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(p){p.parentNode.removeChild(p)}var l=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(j.length===0){m=this.HTMLspanElement();var i=0;while(m){p=this.HTMLhandleHitBox(m,"-Continue-"+i);m=m.nextMathJaxSpan;i++}}return l}});a.semantics.Augment({HTMLbetterBreak:function(h,g){return(this.data[0]?this.data[0].HTMLbetterBreak(h,g):false)},HTMLmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].HTMLmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")}); +MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var f=a.mo().With({HTMLspanElement:function(){return{bbox:{w:0},style:{}}}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(o){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var m=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=b.length2em(q.lineleading,1,0.5);this.HTMLremoveColor(o);var n=b.createStack(o);this.HTMLgetScale();var g={n:0,Y:0,scale:this.scale||1,isTop:m,values:{},VALUES:q},l=this.HTMLgetAlign(g,{}),i=this.HTMLgetShift(g,{},l),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},k=false;while(this.HTMLbetterBreak(j,g,true)&&(j.scanW>=b.linebreakWidth||j.penalty===e.newline)){this.HTMLaddLine(n,h,j.index,g,j.values,k);h=j.index.slice(0);k=true;l=this.HTMLgetAlign(g,j.values);i=this.HTMLgetShift(g,j.values,l);if(l===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.HTMLaddLine(n,h,[],g,c,k);if(m){n.style.width="100%";if(p.type==="math"){o.bbox.width="100%"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);o.bbox.isMultiline=true;return o},HTMLbetterBreak:function(k,g,r){if(this.isToken){return false}if(this.isEmbellished()){k.embellished=this;return this.CoreMO().HTMLbetterBreak(k,g)}if(this.linebreakContainer){return false}var q=k.index.slice(0),o=k.index.shift(),n=this.data.length,l,s,j,p=(k.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;k.W+=k.w;k.w=0}j=k.scanW=k.W;k.nest++;while(o0){var l=b.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading*g.scale;g.Y-=Math.max(l,g.d+line.bbox.h+j)}b.alignBox(line,n,g.Y,i);g.d=line.bbox.d;g.values=p;g.n++},HTMLgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},HTMLgetShift:function(l,i,n){var m=i,j=l.values,k=l.VALUES,h;if(l.n===0){h=m.indentshiftfirst||j.indentshiftfirst||k.indentshiftfirst}else{if(l.isLast){h=j.indentshiftlast||k.indentshiftlast}else{h=j.indentshift||k.indentshift}}if(h===a.INDENTSHIFT.INDENTSHIFT){h=j.indentshift||k.indentshift}if(h==="auto"||h===""){h="0"}h=b.length2em(h,1,b.cwidth);if(l.isTop&&this.displayIndent!=="0"){var g=b.length2em(this.displayIndent,1,b.cwidth);h+=(n===a.INDENTALIGN.RIGHT?-g:g)}return h},HTMLmoveLine:function(p,g,m,o,h){var l=p[0],k=g[0];if(l==null){l=-1}if(k==null){k=this.data.length-1}if(l===k&&p.length>1){this.data[l].HTMLmoveSlice(p.slice(1),g.slice(1),m,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(l0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r1){this.data[this.dataI[o]].HTMLmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.HTMLaddWidth(this.base,j,k)}j.scanW+=this.HTMLdw;j.W=j.scanW;j.index=[];if(h){j.W=l;j.w=p;j.index=o}return h},HTMLmoveLine:function(n,h,k,m,i){if(this.data[this.base]){if(n.length>1){this.data[this.base].HTMLmoveSlice(n.slice(1),h.slice(1),k,m,i,"paddingLeft")}else{if(h.length<=1){this.data[this.base].HTMLmoveSpan(k,m,i)}else{this.data[this.base].HTMLmoveSlice([],h.slice(1),k,m,i,"paddingRight")}}}if(h.length===0){var j=this.data[this.sup]||this.data[this.sub];if(j&&this.HTMLnotEmpty(j)){var l=j.HTMLspanElement().parentNode;if(j.href){l=l.parentNode}var g=l.parentNode;if(this.data[this.base]){g.removeChild(g.firstChild)}for(l=g.firstChild;l;l=l.nextSibling){l.style.left=b.Em(b.unEm(l.style.left)-this.HTMLbaseW)}g.bbox.w-=this.HTMLbaseW;g.style.width=b.Em(g.bbox.w);this.HTMLcombineBBoxes(g,k.bbox);k.appendChild(g)}}}});a.mmultiscripts.Augment({HTMLbetterBreak:function(k,h){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var q=this.HTMLspanElement().bbox,i=this.data[this.base].HTMLspanElement().bbox;var g=q.w-i.w;k.scanW+=q.dx;l=k.scanW;if(this.data[this.base].HTMLbetterBreak(k,h)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.HTMLaddWidth(this.base,k,l)}k.scanW+=g;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},HTMLmoveLine:function(i,j,p,h,q){var n=this.HTMLspanElement(),l=n.bbox,o=n.firstChild,g={};if(b.msiePaddingWidthBug){o=o.nextSibling}var m=o.firstChild;while(m){if(m.bbox&&m.bbox.name){g[m.bbox.name]=m}m=m.nextSibling}if(i.length<1){if(g.presub||g.presup){var k=b.createStack(p);if(g.presup){b.addBox(k,g.presup);b.placeBox(g.presup,l.dx-g.presup.bbox.w,l.u)}if(g.presub){b.addBox(k,g.presub);b.placeBox(g.presub,l.dx+l.delta-g.presub.bbox.w,-l.v)}this.HTMLcombineBBoxes(k,p.bbox);p.appendChild(k);k.style.width=b.Em(l.dx)}}if(this.data[this.base]){if(i.length>1){this.data[this.base].HTMLmoveSlice(i.slice(1),j.slice(1),p,h,q,"paddingLeft")}else{if(j.length<=1){this.data[this.base].HTMLmoveSpan(p,h,q)}else{this.data[this.base].HTMLmoveSlice([],j.slice(1),p,h,q,"paddingRight")}}}if(j.length===0){if(this.data[this.base]){o.removeChild(o.firstChild)}for(m=o.firstChild;m;m=m.nextSibling){m.style.left=b.Em(b.unEm(m.style.left)-l.px)}o.bbox.w-=l.px;o.style.width=b.Em(o.bbox.w);this.HTMLcombineBBoxes(o,p.bbox);p.appendChild(o)}}});a.mo.Augment({HTMLbetterBreak:function(i,g){if(i.values&&i.values.id===this.spanID){return false}var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE&&i.nest){i.nest--}var j=i.scanW,k=(i.embellished||this);delete i.embellished;var o=k.HTMLspanElement(),p=o.bbox.w;if(o.style.paddingLeft){p+=b.unEm(o.style.paddingLeft)}if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0&&q.linebreak!==a.LINEBREAK.NEWLINE){return false}var l=b.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var m=this.HTMLgetAlign(g,q),h=this.HTMLgetShift(g,q,m);l+=(i.shift-h)}var n=Math.floor(l/b.linebreakWidth*1000);if(n<0){n=e.toobig-3*n}if(q.fence){n+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){n+=e.close}n+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(r)){if(r||l>=0){n=r*i.nest}}else{n=Math.max(1,n+r[0]*i.nest)}if(n>=i.penalty){return false}i.penalty=n;i.values=q;i.W=j;i.w=p;q.lineleading=b.length2em(q.lineleading,1,g.VALUES.lineleading);q.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(h,g){if(h.values&&h.values.id===this.spanID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=a.LINEBREAK.AUTO}var i=h.scanW,m=this.HTMLspanElement(),n=m.bbox.w;if(m.style.paddingLeft){n+=b.unEm(m.style.paddingLeft)}if(i-h.shift===0){return false}var j=b.linebreakWidth-i;var k=Math.floor(j/b.linebreakWidth*1000);if(k<0){k=e.toobig-3*k}k+=h.nest*e.nestfactor;var p=e[l]||0;if(l===a.LINEBREAK.AUTO&&n>=e.spacelimit&&!this.mathbackground&&!this.background){p=[(n+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||j>=0){k=p*h.nest}}else{k=Math.max(1,k+p[0]*h.nest)}if(k>=h.penalty){return false}h.penalty=k;h.values=o;h.W=i;h.w=n;o.lineleading=g.VALUES.lineleading;o.linebreakstyle="before";o.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)}})});a.maction.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)},HTMLmoveSlice:function(h,j,m,g,o,k){var p=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(p){p.parentNode.removeChild(p)}var l=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(j.length===0){m=this.HTMLspanElement();var i=0;while(m){p=this.HTMLhandleHitBox(m,"-Continue-"+i);m=m.nextMathJaxSpan;i++}}return l}});a.semantics.Augment({HTMLbetterBreak:function(h,g){return(this.data[0]?this.data[0].HTMLbetterBreak(h,g):false)},HTMLmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].HTMLmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")}); diff --git a/jax/output/HTML-CSS/config.js b/jax/output/HTML-CSS/config.js index 4f17b89fb5..0583fce421 100644 --- a/jax/output/HTML-CSS/config.js +++ b/jax/output/HTML-CSS/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.5",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g534){x.STIXfontBug=true}}}});if(MathJax.Hub.Browser.STIXfontBug){j.FONTDATA.FONTS.STIXGeneral.family="STIXGeneral-Regular";j.FONTDATA.FONTS["STIXGeneral-italic"].family="STIXGeneral-Italic";delete j.FONTDATA.FONTS["STIXGeneral-italic"].style;j.FONTDATA.FONTS.STIXNonUnicode.family="STIXNonUnicode-Regular";j.FONTDATA.FONTS["STIXNonUnicode-italic"].family="STIXNonUnicode-Italic";delete j.FONTDATA.FONTS["STIXNonUnicode-italic"].style}var e=[];var o=j.Font.div;s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(o.lastChild.previousSibling.offsetWidth534){x.STIXfontBug=true}}}});if(MathJax.Hub.Browser.STIXfontBug){j.FONTDATA.FONTS.STIXGeneral.family="STIXGeneral-Regular";j.FONTDATA.FONTS["STIXGeneral-italic"].family="STIXGeneral-Italic";delete j.FONTDATA.FONTS["STIXGeneral-italic"].style;j.FONTDATA.FONTS.STIXNonUnicode.family="STIXNonUnicode-Regular";j.FONTDATA.FONTS["STIXNonUnicode-italic"].family="STIXNonUnicode-Italic";delete j.FONTDATA.FONTS["STIXNonUnicode-italic"].style}var e=[];var o=j.Font.div;s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(o.lastChild.previousSibling.offsetWidth\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-italic",m,g,h],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",r,g,h],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[h,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,h]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",r,g,h],bold:true},script:{fonts:["MathJax_Script",m,g,h]},"bold-script":{fonts:["MathJax_Script",r,g,h],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,h]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",r,g,h],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,h]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",o,m,g,h],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[h,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(v,u){for(var t=0,s=this.PLANE1MAP.length;t T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var v=i.FONTDATA.FONTS,u=i.config.availableFonts;var t,s=[];if(i.allowWebFonts){for(t in v){if(v[t].family){if(u&&u.length&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}else{v[t].isWebFont=true;if(i.FontFaceBug){v[t].family=t}s.push(i.Font.fontFace(t))}}}if(!i.config.preloadWebFonts){i.config.preloadWebFonts=[]}i.config.preloadWebFonts.push(m,o,g);if(s.length){i.config.styles["@font-face"]=s}}else{if(u&&u.length){for(t in v){if(v[t].family&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}}}}})();q.loadComplete(i.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax); +(function(i,b,q){var p="2.7.6";var m="MathJax_Main",r="MathJax_Main-bold",o="MathJax_Math-italic",h="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var j="H",a="V",l={load:"extra",dir:j},d={load:"extra",dir:a};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];i.Augment({FONTDATA:{version:p,TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[m,g,h],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8214:8741,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[r,g,h],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-italic",m,g,h],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",r,g,h],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[h,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,h]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",r,g,h],bold:true},script:{fonts:["MathJax_Script",m,g,h]},"bold-script":{fonts:["MathJax_Script",r,g,h],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,h]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",r,g,h],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,h]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",o,m,g,h],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[h,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(v,u){for(var t=0,s=this.PLANE1MAP.length;t T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var v=i.FONTDATA.FONTS,u=i.config.availableFonts;var t,s=[];if(i.allowWebFonts){for(t in v){if(v[t].family){if(u&&u.length&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}else{v[t].isWebFont=true;if(i.FontFaceBug){v[t].family=t}s.push(i.Font.fontFace(t))}}}if(!i.config.preloadWebFonts){i.config.preloadWebFonts=[]}i.config.preloadWebFonts.push(m,o,g);if(s.length){i.config.styles["@font-face"]=s}}else{if(u&&u.length){for(t in v){if(v[t].family&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}}}}})();q.loadComplete(i.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax); diff --git a/jax/output/HTML-CSS/imageFonts.js b/jax/output/HTML-CSS/imageFonts.js index 00bd55b10c..9ab6bf9f4b 100644 --- a/jax/output/HTML-CSS/imageFonts.js +++ b/jax/output/HTML-CSS/imageFonts.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(b,c,a){var d="2.7.5";b.Register.LoadHook(c.fontDir+"/fontdata.js",function(){c.Augment({allowWebFonts:false,imgDir:c.webfontDir+"/png",imgPacked:(MathJax.isPacked?"":"/unpacked"),imgSize:["050","060","071","085",100,120,141,168,200,238,283,336,400,476],imgBaseIndex:4,imgSizeForEm:{},imgSizeForScale:{},imgZoom:1,handleImg:function(t,i,r,h,u){if(u.length){this.addText(t,u)}var s=r[5].orig;if(!s){s=r[5].orig=[r[0],r[1],r[2],r[3],r[4]]}var m=this.imgZoom;if(!t.scale){t.scale=1}var p=this.imgIndex(t.scale*m);if(p==this.imgEmWidth.length-1&&this.em*t.scale*m/this.imgEmWidth[p]>1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.urlRev(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.urlRev(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;hthis.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;hj-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.urlRev(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.urlRev(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;hthis.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;hj-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth span":{display:"inline-block","text-align":"left"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PlainSource.Register("jax/mml")}MathJax.OutputJax.PlainSource.loadComplete("config.js"); +MathJax.OutputJax.PlainSource=MathJax.OutputJax({id:"PlainSource",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PlainSource",extensionDir:MathJax.OutputJax.extensionDir+"/PlainSource",config:{styles:{".MathJax_PlainSource_Display":{"text-align":"center",margin:".75em 0px","white-space":"pre"},".MathJax_PlainSource_Display > span":{display:"inline-block","text-align":"left"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PlainSource.Register("jax/mml")}MathJax.OutputJax.PlainSource.loadComplete("config.js"); diff --git a/jax/output/PreviewHTML/config.js b/jax/output/PreviewHTML/config.js index ae48c70875..c4986199bf 100644 --- a/jax/output/PreviewHTML/config.js +++ b/jax/output/PreviewHTML/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.5",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); +MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js"); diff --git a/jax/output/SVG/autoload/annotation-xml.js b/jax/output/SVG/autoload/annotation-xml.js index 8807f1b4fa..61eb846024 100644 --- a/jax/output/SVG/autoload/annotation-xml.js +++ b/jax/output/SVG/autoload/annotation-xml.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG;var b=d.BBOX;b.FOREIGN=b.Subclass({type:"foreignObject",removeable:false});a["annotation-xml"].Augment({toSVG:function(){var f=this.SVG();this.SVGhandleSpace(f);var h=this.Get("encoding");for(var g=0,e=this.data.length;gthis.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.7.6";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j.type=="null"){this.SVGsaveData(i);return i}i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));i.removeable=false;this.SVGhandleHitBox(i);this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.Element("rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});h.element.insertBefore(j,h.element.firstChild);var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,h.element,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")}); diff --git a/jax/output/SVG/autoload/menclose.js b/jax/output/SVG/autoload/menclose.js index b66e266dbb..2661cdff13 100644 --- a/jax/output/SVG/autoload/menclose.js +++ b/jax/output/SVG/autoload/menclose.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;b.ELLIPSE=b.Subclass({type:"ellipse",removeable:false,Init:function(i,k,e,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.cx=Math.floor(e/2);j.cy=Math.floor((i+k)/2-k);j.rx=Math.floor((e-g)/2);j.ry=Math.floor((i+k-g)/2);this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i;this.d=this.D=k;this.l=0}});b.DLINE=b.Subclass({type:"line",removeable:false,Init:function(i,l,e,g,f,j,k){if(k==null){k={}}k.fill="none";if(f){k.stroke=f}k["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");if(j=="up"){k.x1=Math.floor(g/2);k.y1=Math.floor(g/2-l);k.x2=Math.floor(e-g/2);k.y2=Math.floor(i-g/2)}else{k.x1=Math.floor(g/2);k.y1=Math.floor(i-g/2);k.x2=Math.floor(e-g/2);k.y2=Math.floor(g/2-l)}this.SUPER(arguments).Init.call(this,k);this.w=this.r=e;this.h=this.H=i;this.d=this.D=l;this.l=0}});b.FPOLY=b.Subclass({type:"polygon",removeable:false,Init:function(p,g,e){if(e==null){e={}}if(g){e.fill=g}var j=[],o=100000000,n=o,r=-o,q=r;for(var h=0,f=p.length;hr){r=l}if(lq){q=k}if(kr){r=l}if(lq){q=k}if(k0){o+=C;m-=C}}o=Math.max(o,H.superscriptshift);m=Math.max(m,H.subscriptshift);if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,l+L-i.w,o)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,l-n.w,-m)}}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);var M=this.SVGdata;M.dx=l;M.s=y;M.u=o,M.v=m;M.delta=L;return B},SVGgetScripts:function(r){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o0){o+=C;m-=C}}o=Math.max(o,H.superscriptshift);m=Math.max(m,H.subscriptshift);if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,l+L-i.w,o)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,l-n.w,-m)}}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);var M=this.SVGdata;M.dx=l;M.s=y;M.u=o,M.v=m;M.delta=L;return B},SVGgetScripts:function(r){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(ow){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aIw){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aIO.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aIq+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")}); diff --git a/jax/output/SVG/autoload/multiline.js b/jax/output/SVG/autoload/multiline.js index f403a3a173..5234d11f86 100644 --- a/jax/output/SVG/autoload/multiline.js +++ b/jax/output/SVG/autoload/multiline.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.7.5";var a=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG,b=g.BBOX;var f=a.mo().With({SVGdata:{w:0,x:0}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(l){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var o=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=g.length2em(q.lineleading,1,0.5);l=this.SVG();if(o&&p.type!=="mtd"){if(g.linebreakWidth=g.linebreakWidth||k.penalty===e.newline)){this.SVGaddLine(l,i,k.index,h,k.values,m);i=k.index.slice(0);m=true;n=this.SVGgetAlign(h,k.values);j=this.SVGgetShift(h,k.values,n);if(n===a.INDENTALIGN.CENTER){j=0}k.W=k.shift=k.scanW=j;k.penalty=e.nobreak}h.isLast=true;this.SVGaddLine(l,i,[],h,c,m);this.SVGhandleSpace(l);this.SVGhandleColor(l);l.isMultiline=true;this.SVGsaveData(l);return l}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().SVGbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p0){var n=g.FONTDATA.baselineskip*h.scale;var k=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;h.Y-=Math.max(n,h.d+r.h+k)}if(r.w+j>m.w){m.w=r.w+j}m.Align(r,p,0,h.Y,j);h.d=r.d;h.values=q;h.n++},SVGgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===a.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===a.INDENTALIGN.AUTO){m=(k.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return m},SVGgetShift:function(m,j,o){var n=j,k=m.values,l=m.VALUES,i;if(m.n===0){i=n.indentshiftfirst||k.indentshiftfirst||l.indentshiftfirst}else{if(m.isLast){i=k.indentshiftlast||l.indentshiftlast}else{i=k.indentshift||l.indentshift}}if(i===a.INDENTSHIFT.INDENTSHIFT){i=k.indentshift||l.indentshift}if(i==="auto"||i===""){i="0"}i=g.length2em(i,1,g.cwidth);if(m.isTop&&this.displayIndent!=="0"){var h=g.length2em(this.displayIndent,1,g.cwidth);i+=(o===a.INDENTALIGN.RIGHT?-h:h)}return i},SVGmoveLine:function(q,h,l,p,k){var n=q[0],m=h[0];if(n==null){n=-1}if(m==null){m=this.data.length-1}if(n===m&&q.length>1){this.data[n].SVGmoveSlice(q.slice(1),h.slice(1),l,p,k,"paddingLeft")}else{var o=p.last;p.last=false;while(n0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s1){this.data[this.dataI[p]].SVGmoveSlice(l.slice(1),n.slice(1),q,h,s,"paddingLeft")}else{var r=h.last;h.last=false;var m=this.dataI[p];while(p0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===e.newline){j=o=true}}if(!o){this.SVGaddWidth(this.base,k,l)}k.scanW+=this.SVGdata.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},SVGmoveLine:function(j,k,n,i,p){if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),k.slice(1),n,i,p,"paddingLeft")}else{if(k.length<=1){this.data[this.base].SVGmove(n,i,p)}else{this.data[this.base].SVGmoveSlice([],k.slice(1),n,i,p,"paddingRight")}}}if(k.length===0){var m=this.data[this.sup],h=this.data[this.sub],o=n.w,l;if(m){l=m.SVGdata||{};n.Add(m.toSVG(),o+(l.dx||0),l.dy)}if(h){l=h.SVGdata||{};n.Add(h.toSVG(),o+(l.dx||0),l.dy)}}}});a.mmultiscripts.Augment({SVGbetterBreak:function(k,i){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var h=this.SVGdata.w-this.data[this.base].SVGdata.w-this.SVGdata.dx;k.scanW+=this.SVGdata.dx;l=k.scanW;if(this.data[this.base].SVGbetterBreak(k,i)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.SVGaddWidth(this.base,k,l)}k.scanW+=h;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},SVGmoveLine:function(j,l,o,i,q){var r,n=this.SVGdata;if(j.length<1){this.scriptBox=this.SVGgetScripts(this.SVGdata.s);var k=this.scriptBox[2],p=this.scriptBox[3];r=o.w+n.dx;if(p){o.Add(p,r+n.delta-p.w,n.u)}if(k){o.Add(k,r-k.w,-n.v)}}if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),l.slice(1),o,i,q,"paddingLeft")}else{if(l.length<=1){this.data[this.base].SVGmove(o,i,q)}else{this.data[this.base].SVGmoveSlice([],l.slice(1),o,i,q,"paddingRight")}}}if(l.length===0){var h=this.scriptBox[0],m=this.scriptBox[1];r=o.w+n.s;if(m){o.Add(m,r,n.u)}if(h){o.Add(h,r-n.delta,-n.v)}delete this.scriptBox}}});a.mo.Augment({SVGbetterBreak:function(j,h){if(j.values&&j.values.last===this){return false}var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(r.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}if(r.texClass===a.TEXCLASS.OPEN){j.nest++}if(r.texClass===a.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW,l=j.embellished;delete j.embellished;if(!l||!l.SVGdata){l=this}var n=l.SVGdata,q=n.w+n.x;if(r.linebreakstyle===a.LINEBREAKSTYLE.AFTER){k+=q;q=0}if(k-j.shift===0&&r.linebreak!==a.LINEBREAK.NEWLINE){return false}var m=g.linebreakWidth-k;if(h.n===0&&(r.indentshiftfirst!==h.VALUES.indentshiftfirst||r.indentalignfirst!==h.VALUES.indentalignfirst)){var o=this.SVGgetAlign(h,r),i=this.SVGgetShift(h,r,o);m+=(j.shift-i)}var p=Math.floor(m/g.linebreakWidth*1000);if(p<0){p=e.toobig-3*p}if(r.fence){p+=e.fence}if((r.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&r.texClass===a.TEXCLASS.OPEN)||r.texClass===a.TEXCLASS.CLOSE){p+=e.close}p+=j.nest*e.nestfactor;var s=e[r.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(s)){if(s||m>=0){p=s*j.nest}}else{p=Math.max(1,p+s[0]*j.nest)}if(p>=j.penalty){return false}j.penalty=p;j.values=r;j.W=k;j.w=q;r.lineleading=g.length2em(r.lineleading,1,h.VALUES.lineleading);r.last=this;return true}});a.mspace.Augment({SVGbetterBreak:function(i,h){if(i.values&&i.values.last===this){return false}var p=this.getValues("linebreak");var n=p.linebreak;if(!n||this.hasDimAttr()){n=a.LINEBREAK.AUTO}var j=i.scanW,l=this.SVGdata,o=l.w+l.x;if(j-i.shift===0){return false}var k=g.linebreakWidth-j;var m=Math.floor(k/g.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}m+=i.nest*e.nestfactor;var q=e[n]||0;if(n===a.LINEBREAK.AUTO&&o>=e.spacelimit*1000&&!this.mathbackground&&!this.backrgound){q=[(o/1000+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(q)){if(q||k>=0){m=q*i.nest}}else{m=Math.max(1,m+q[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=p;i.W=j;i.w=o;p.lineleading=h.VALUES.lineleading;p.linebreakstyle="before";p.last=this;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)}})});a.maction.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)},});a.semantics.Augment({SVGbetterBreak:function(i,h){return(this.data[0]?this.data[0].SVGbetterBreak(i,h):false)},SVGmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].SVGmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/multiline.js")}); +MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.7.6";var a=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG,b=g.BBOX;var f=a.mo().With({SVGdata:{w:0,x:0}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(l){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var o=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=g.length2em(q.lineleading,1,0.5);l=this.SVG();if(o&&p.type!=="mtd"){if(g.linebreakWidth=g.linebreakWidth||k.penalty===e.newline)){this.SVGaddLine(l,i,k.index,h,k.values,m);i=k.index.slice(0);m=true;n=this.SVGgetAlign(h,k.values);j=this.SVGgetShift(h,k.values,n);if(n===a.INDENTALIGN.CENTER){j=0}k.W=k.shift=k.scanW=j;k.penalty=e.nobreak}h.isLast=true;this.SVGaddLine(l,i,[],h,c,m);this.SVGhandleSpace(l);this.SVGhandleColor(l);l.isMultiline=true;this.SVGsaveData(l);return l}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().SVGbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p0){var n=g.FONTDATA.baselineskip*h.scale;var k=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;h.Y-=Math.max(n,h.d+r.h+k)}if(r.w+j>m.w){m.w=r.w+j}m.Align(r,p,0,h.Y,j);h.d=r.d;h.values=q;h.n++},SVGgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===a.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===a.INDENTALIGN.AUTO){m=(k.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return m},SVGgetShift:function(m,j,o){var n=j,k=m.values,l=m.VALUES,i;if(m.n===0){i=n.indentshiftfirst||k.indentshiftfirst||l.indentshiftfirst}else{if(m.isLast){i=k.indentshiftlast||l.indentshiftlast}else{i=k.indentshift||l.indentshift}}if(i===a.INDENTSHIFT.INDENTSHIFT){i=k.indentshift||l.indentshift}if(i==="auto"||i===""){i="0"}i=g.length2em(i,1,g.cwidth);if(m.isTop&&this.displayIndent!=="0"){var h=g.length2em(this.displayIndent,1,g.cwidth);i+=(o===a.INDENTALIGN.RIGHT?-h:h)}return i},SVGmoveLine:function(q,h,l,p,k){var n=q[0],m=h[0];if(n==null){n=-1}if(m==null){m=this.data.length-1}if(n===m&&q.length>1){this.data[n].SVGmoveSlice(q.slice(1),h.slice(1),l,p,k,"paddingLeft")}else{var o=p.last;p.last=false;while(n0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s1){this.data[this.dataI[p]].SVGmoveSlice(l.slice(1),n.slice(1),q,h,s,"paddingLeft")}else{var r=h.last;h.last=false;var m=this.dataI[p];while(p0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===e.newline){j=o=true}}if(!o){this.SVGaddWidth(this.base,k,l)}k.scanW+=this.SVGdata.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},SVGmoveLine:function(j,k,n,i,p){if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),k.slice(1),n,i,p,"paddingLeft")}else{if(k.length<=1){this.data[this.base].SVGmove(n,i,p)}else{this.data[this.base].SVGmoveSlice([],k.slice(1),n,i,p,"paddingRight")}}}if(k.length===0){var m=this.data[this.sup],h=this.data[this.sub],o=n.w,l;if(m){l=m.SVGdata||{};n.Add(m.toSVG(),o+(l.dx||0),l.dy)}if(h){l=h.SVGdata||{};n.Add(h.toSVG(),o+(l.dx||0),l.dy)}}}});a.mmultiscripts.Augment({SVGbetterBreak:function(k,i){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var h=this.SVGdata.w-this.data[this.base].SVGdata.w-this.SVGdata.dx;k.scanW+=this.SVGdata.dx;l=k.scanW;if(this.data[this.base].SVGbetterBreak(k,i)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.SVGaddWidth(this.base,k,l)}k.scanW+=h;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},SVGmoveLine:function(j,l,o,i,q){var r,n=this.SVGdata;if(j.length<1){this.scriptBox=this.SVGgetScripts(this.SVGdata.s);var k=this.scriptBox[2],p=this.scriptBox[3];r=o.w+n.dx;if(p){o.Add(p,r+n.delta-p.w,n.u)}if(k){o.Add(k,r-k.w,-n.v)}}if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),l.slice(1),o,i,q,"paddingLeft")}else{if(l.length<=1){this.data[this.base].SVGmove(o,i,q)}else{this.data[this.base].SVGmoveSlice([],l.slice(1),o,i,q,"paddingRight")}}}if(l.length===0){var h=this.scriptBox[0],m=this.scriptBox[1];r=o.w+n.s;if(m){o.Add(m,r,n.u)}if(h){o.Add(h,r-n.delta,-n.v)}delete this.scriptBox}}});a.mo.Augment({SVGbetterBreak:function(j,h){if(j.values&&j.values.last===this){return false}var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(r.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}if(r.texClass===a.TEXCLASS.OPEN){j.nest++}if(r.texClass===a.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW,l=j.embellished;delete j.embellished;if(!l||!l.SVGdata){l=this}var n=l.SVGdata,q=n.w+n.x;if(r.linebreakstyle===a.LINEBREAKSTYLE.AFTER){k+=q;q=0}if(k-j.shift===0&&r.linebreak!==a.LINEBREAK.NEWLINE){return false}var m=g.linebreakWidth-k;if(h.n===0&&(r.indentshiftfirst!==h.VALUES.indentshiftfirst||r.indentalignfirst!==h.VALUES.indentalignfirst)){var o=this.SVGgetAlign(h,r),i=this.SVGgetShift(h,r,o);m+=(j.shift-i)}var p=Math.floor(m/g.linebreakWidth*1000);if(p<0){p=e.toobig-3*p}if(r.fence){p+=e.fence}if((r.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&r.texClass===a.TEXCLASS.OPEN)||r.texClass===a.TEXCLASS.CLOSE){p+=e.close}p+=j.nest*e.nestfactor;var s=e[r.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(s)){if(s||m>=0){p=s*j.nest}}else{p=Math.max(1,p+s[0]*j.nest)}if(p>=j.penalty){return false}j.penalty=p;j.values=r;j.W=k;j.w=q;r.lineleading=g.length2em(r.lineleading,1,h.VALUES.lineleading);r.last=this;return true}});a.mspace.Augment({SVGbetterBreak:function(i,h){if(i.values&&i.values.last===this){return false}var p=this.getValues("linebreak");var n=p.linebreak;if(!n||this.hasDimAttr()){n=a.LINEBREAK.AUTO}var j=i.scanW,l=this.SVGdata,o=l.w+l.x;if(j-i.shift===0){return false}var k=g.linebreakWidth-j;var m=Math.floor(k/g.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}m+=i.nest*e.nestfactor;var q=e[n]||0;if(n===a.LINEBREAK.AUTO&&o>=e.spacelimit*1000&&!this.mathbackground&&!this.backrgound){q=[(o/1000+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(q)){if(q||k>=0){m=q*i.nest}}else{m=Math.max(1,m+q[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=p;i.W=j;i.w=o;p.lineleading=h.VALUES.lineleading;p.linebreakstyle="before";p.last=this;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)}})});a.maction.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)},});a.semantics.Augment({SVGbetterBreak:function(i,h){return(this.data[0]?this.data[0].SVGbetterBreak(i,h):false)},SVGmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].SVGmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/multiline.js")}); diff --git a/jax/output/SVG/config.js b/jax/output/SVG/config.js index 1b69816296..94707ff628 100644 --- a/jax/output/SVG/config.js +++ b/jax/output/SVG/config.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.5",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); +MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js"); diff --git a/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js b/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js index c1989911b2..42e8f0c8f3 100644 --- a/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js +++ b/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(x){var z="2.7.5";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="AsanaMathJax_Alphabets",u="AsanaMathJax_Arrows",w="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",t="AsanaMathJax_Main",l="AsanaMathJax_Marks",v="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",q="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",s="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:p,HW:[[282,t],[384,k],[542,j],[922,i],[1762,h]]},819:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:p,HW:[[558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:p,HW:[[558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:p,HW:[[558,l],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:p,HW:[[558,t],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{rep:[57358,e],right:[8407,t]}},8417:{dir:p,HW:[[557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,t]}},8425:{dir:p,HW:[[630,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:p,HW:[[557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:p,HW:[[557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:p,HW:[[884,t]],stretch:{left:[57363,e],rep:[9135,s],right:[57370,e]}},8618:{dir:p,HW:[[884,t]],stretch:{left:[57371,e],rep:[9135,s],right:[57367,e]}},8720:{dir:d,HW:[[937,B],[1349,k],[1942,j],[2797,i]]},8721:{dir:d,HW:[[930,B],[1339,k],[1928,j],[2776,i]]},8745:{dir:d,HW:[[603,t],[1559,k],[2245,j],[2588,i]]},8747:{dir:d,HW:[[1327,t],[1964,k],[2711,j],[3470,i]],stretch:{bot:[8993,s],ext:[9134,s],top:[8992,s]}},8748:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8749:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8750:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8751:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8752:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8753:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8754:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8755:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8896:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8897:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8898:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8899:{dir:d,HW:[[939,B],[1559,k],[2245,j],[2588,i]]},9140:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},9185:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},10214:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10215:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10218:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10219:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10748:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10749:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10752:{dir:d,HW:[[1146,B],[1650,k],[2376,j]]},10753:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10754:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10755:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10756:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10757:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10758:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10759:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10760:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10761:{dir:d,HW:[[926,B],[1333,k],[1920,j]]},10764:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10765:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10766:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10767:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10768:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10769:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10770:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10771:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10772:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10773:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10774:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10775:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10776:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10777:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10778:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10779:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]},10780:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(x){var z="2.7.6";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="AsanaMathJax_Alphabets",u="AsanaMathJax_Arrows",w="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",t="AsanaMathJax_Main",l="AsanaMathJax_Marks",v="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",q="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",s="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:p,HW:[[282,t],[384,k],[542,j],[922,i],[1762,h]]},819:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:p,HW:[[558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:p,HW:[[558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:p,HW:[[558,l],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:p,HW:[[558,t],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{rep:[57358,e],right:[8407,t]}},8417:{dir:p,HW:[[557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,t]}},8425:{dir:p,HW:[[630,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:p,HW:[[557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:p,HW:[[557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:p,HW:[[884,t]],stretch:{left:[57363,e],rep:[9135,s],right:[57370,e]}},8618:{dir:p,HW:[[884,t]],stretch:{left:[57371,e],rep:[9135,s],right:[57367,e]}},8720:{dir:d,HW:[[937,B],[1349,k],[1942,j],[2797,i]]},8721:{dir:d,HW:[[930,B],[1339,k],[1928,j],[2776,i]]},8745:{dir:d,HW:[[603,t],[1559,k],[2245,j],[2588,i]]},8747:{dir:d,HW:[[1327,t],[1964,k],[2711,j],[3470,i]],stretch:{bot:[8993,s],ext:[9134,s],top:[8992,s]}},8748:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8749:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8750:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8751:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8752:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8753:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8754:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8755:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8896:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8897:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8898:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8899:{dir:d,HW:[[939,B],[1559,k],[2245,j],[2588,i]]},9140:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},9185:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},10214:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10215:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10218:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10219:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10748:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10749:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10752:{dir:d,HW:[[1146,B],[1650,k],[2376,j]]},10753:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10754:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10755:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10756:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10757:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10758:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10759:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10760:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10761:{dir:d,HW:[[926,B],[1333,k],[1920,j]]},10764:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10765:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10766:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10767:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10768:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10769:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10770:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10771:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10772:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10773:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10774:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10775:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10776:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10777:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10778:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10779:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]},10780:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/Asana-Math/fontdata.js b/jax/output/SVG/fonts/Asana-Math/fontdata.js index 53f5683441..969c711558 100644 --- a/jax/output/SVG/fonts/Asana-Math/fontdata.js +++ b/jax/output/SVG/fonts/Asana-Math/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(z,e,E,o){var B="2.7.5";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",C="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",F="AsanaMathJax_Monospace",A="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",D="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",q="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",p="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[883,v],[1270,v,1.439],[1719,v,1.946],[2167,v,2.454],[2615,v,2.961]]},93:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i],[2712,g],[3177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:8722,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[312,v],[453,m],[633,l],[1055,k],[2017,i],[3026,g]]},771:{dir:r,HW:[[330,v],[701,m],[1053,l],[1403,k],[1865,i],[2797,g]]},773:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[312,v],[737,m],[1105,l],[1474,k],[1960,i],[2940,g]]},818:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[837,v],[1205,m],[1471,l],[1795,k],[2189,i],[2615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[937,D],[1349,m],[1942,l],[2797,k]]},8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.23,-0.23]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1138,v],[1280,m],[1912,l],[2543,k],[3175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[885,v,null,124],[1270,v,1.435,124],[1719,v,1.942,124],[2167,v,2.448,124],[2615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10182:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10217:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size6/Regular/Main.js",function(){var G;G=z.FONTDATA.DELIMITERS[9182].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100;G=z.FONTDATA.DELIMITERS[9183].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;z.FONTDATA.FONTS[m][8747][2]-=300;for(G=8748;G<=8755;G++){z.FONTDATA.FONTS[m][G][2]-=420}for(G=10764;G<=10780;G++){z.FONTDATA.FONTS[m][G][2]-=420}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); +(function(z,e,E,o){var B="2.7.6";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",C="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",F="AsanaMathJax_Monospace",A="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",D="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",q="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",p="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[883,v],[1270,v,1.439],[1719,v,1.946],[2167,v,2.454],[2615,v,2.961]]},93:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i],[2712,g],[3177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:8722,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[312,v],[453,m],[633,l],[1055,k],[2017,i],[3026,g]]},771:{dir:r,HW:[[330,v],[701,m],[1053,l],[1403,k],[1865,i],[2797,g]]},773:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[312,v],[737,m],[1105,l],[1474,k],[1960,i],[2940,g]]},818:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[837,v],[1205,m],[1471,l],[1795,k],[2189,i],[2615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[937,D],[1349,m],[1942,l],[2797,k]]},8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.23,-0.23]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1138,v],[1280,m],[1912,l],[2543,k],[3175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[885,v,null,124],[1270,v,1.435,124],[1719,v,1.942,124],[2167,v,2.448,124],[2615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10182:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10217:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size6/Regular/Main.js",function(){var G;G=z.FONTDATA.DELIMITERS[9182].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100;G=z.FONTDATA.DELIMITERS[9183].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;z.FONTDATA.FONTS[m][8747][2]-=300;for(G=8748;G<=8755;G++){z.FONTDATA.FONTS[m][G][2]-=420}for(G=10764;G<=10780;G++){z.FONTDATA.FONTS[m][G][2]-=420}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); diff --git a/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js b/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js index 13b072d90d..6dbc6a3980 100644 --- a/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js +++ b/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(x){var z="2.7.5";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyrePagellaMathJax_Alphabets",u="GyrePagellaMathJax_Arrows",w="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",t="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",v="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",q="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",s="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:p,HW:[[362,t],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},785:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},812:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},813:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},814:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},815:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},816:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1042,h],[1247,f],[1496,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[367,l],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[558,t],[876,k]]},8599:{dir:d,HW:[[558,t],[876,k]]},8600:{dir:d,HW:[[558,t],[876,k]]},8601:{dir:d,HW:[[558,t],[876,k]]},8602:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[845,t],[1295,k]]},8622:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[645,t],[915,k]]},8625:{dir:d,HW:[[644,t],[915,k]]},8626:{dir:d,HW:[[645,u],[915,k]]},8627:{dir:d,HW:[[644,u],[915,k]]},8630:{dir:p,HW:[[685,t],[1022,k]]},8631:{dir:p,HW:[[685,t],[1022,k]]},8636:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[622,u],[940,k]]},8663:{dir:d,HW:[[622,u],[940,k]]},8664:{dir:d,HW:[[622,u],[940,k]]},8665:{dir:d,HW:[[622,u],[940,k]]},8666:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[760,u],[1210,k]]},8669:{dir:p,HW:[[760,t],[1210,k]]},8678:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[910,u],[1360,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[760,u],[1210,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,B],[1442,k]]},8720:{dir:d,HW:[[1000,B],[1442,k]]},8721:{dir:d,HW:[[1000,B],[1442,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57656,e],ext:[9134,s],bot:[57657,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[600,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[600,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[974,B],[1411,k]]},8897:{dir:d,HW:[[974,B],[1411,k]]},8898:{dir:d,HW:[[978,B],[1402,k]]},8899:{dir:d,HW:[[978,B],[1402,k]]},9140:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[835,v],[1285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10219:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10752:{dir:d,HW:[[916,B],[1188,k]]},10753:{dir:d,HW:[[916,B],[1188,k]]},10754:{dir:d,HW:[[916,B],[1188,k]]},10755:{dir:d,HW:[[978,B],[1402,k]]},10756:{dir:d,HW:[[978,B],[1402,k]]},10757:{dir:d,HW:[[960,B],[1384,k]]},10758:{dir:d,HW:[[960,B],[1384,k]]},10761:{dir:d,HW:[[770,B],[974,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[909,b],[1359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[835,b],[1285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[845,b],[1295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[845,b],[1295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[760,b],[1210,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(x){var z="2.7.6";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyrePagellaMathJax_Alphabets",u="GyrePagellaMathJax_Arrows",w="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",t="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",v="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",q="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",s="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:p,HW:[[362,t],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},785:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},812:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},813:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},814:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},815:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},816:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1042,h],[1247,f],[1496,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[367,l],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[558,t],[876,k]]},8599:{dir:d,HW:[[558,t],[876,k]]},8600:{dir:d,HW:[[558,t],[876,k]]},8601:{dir:d,HW:[[558,t],[876,k]]},8602:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[845,t],[1295,k]]},8622:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[645,t],[915,k]]},8625:{dir:d,HW:[[644,t],[915,k]]},8626:{dir:d,HW:[[645,u],[915,k]]},8627:{dir:d,HW:[[644,u],[915,k]]},8630:{dir:p,HW:[[685,t],[1022,k]]},8631:{dir:p,HW:[[685,t],[1022,k]]},8636:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[622,u],[940,k]]},8663:{dir:d,HW:[[622,u],[940,k]]},8664:{dir:d,HW:[[622,u],[940,k]]},8665:{dir:d,HW:[[622,u],[940,k]]},8666:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[760,u],[1210,k]]},8669:{dir:p,HW:[[760,t],[1210,k]]},8678:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[910,u],[1360,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[760,u],[1210,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,B],[1442,k]]},8720:{dir:d,HW:[[1000,B],[1442,k]]},8721:{dir:d,HW:[[1000,B],[1442,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57656,e],ext:[9134,s],bot:[57657,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[600,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[600,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[974,B],[1411,k]]},8897:{dir:d,HW:[[974,B],[1411,k]]},8898:{dir:d,HW:[[978,B],[1402,k]]},8899:{dir:d,HW:[[978,B],[1402,k]]},9140:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[835,v],[1285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10219:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10752:{dir:d,HW:[[916,B],[1188,k]]},10753:{dir:d,HW:[[916,B],[1188,k]]},10754:{dir:d,HW:[[916,B],[1188,k]]},10755:{dir:d,HW:[[978,B],[1402,k]]},10756:{dir:d,HW:[[978,B],[1402,k]]},10757:{dir:d,HW:[[960,B],[1384,k]]},10758:{dir:d,HW:[[960,B],[1384,k]]},10761:{dir:d,HW:[[770,B],[974,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[909,b],[1359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[835,b],[1285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[845,b],[1295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[845,b],[1295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[760,b],[1210,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js b/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js index fdc90d0b7a..4ce44554b5 100644 --- a/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js +++ b/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(z,e,E,o){var B="2.7.5";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",C="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",F="GyrePagellaMathJax_Monospace",A="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",D="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",q="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",p="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[600,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},771:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1042,i],[1247,g],[1496,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1000,y],[1442,m]]},8592:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[760,w],[1210,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.27,-0.28]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[790,v],[1150,m],[1510,l],[1870,k],[2230,i],[2590,g],[2950,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9002:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1269,v,1.586,124],[1717,v,2.146,124],[2164,v,2.705,124],[2612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10217:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10218:j,10219:j,10222:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=190}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=100}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); +(function(z,e,E,o){var B="2.7.6";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",C="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",F="GyrePagellaMathJax_Monospace",A="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",D="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",q="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",p="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[600,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},771:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1042,i],[1247,g],[1496,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1000,y],[1442,m]]},8592:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[760,w],[1210,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.27,-0.28]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[790,v],[1150,m],[1510,l],[1870,k],[2230,i],[2590,g],[2950,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9002:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1269,v,1.586,124],[1717,v,2.146,124],[2164,v,2.705,124],[2612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10217:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10218:j,10219:j,10222:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=190}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=100}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); diff --git a/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js b/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js index c68765c984..7a271ff98c 100644 --- a/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js +++ b/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(x){var z="2.7.5";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyreTermesMathJax_Alphabets",u="GyreTermesMathJax_Arrows",w="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",t="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",v="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",q="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",s="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:p,HW:[[350,t],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},785:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},812:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},813:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},814:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},815:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},816:{dir:p,HW:[[334,l],[601,k],[720,j],[863,i],[1037,h],[1241,f],[1491,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[375,l],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[506,t],[733,k]]},8599:{dir:d,HW:[[506,t],[733,k]]},8600:{dir:d,HW:[[506,t],[733,k]]},8601:{dir:d,HW:[[506,t],[733,k]]},8602:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[880,t],[1200,k]]},8622:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[696,t],[888,k]]},8625:{dir:d,HW:[[696,t],[888,k]]},8626:{dir:d,HW:[[696,u],[888,k]]},8627:{dir:d,HW:[[696,u],[888,k]]},8630:{dir:p,HW:[[639,t],[879,k]]},8631:{dir:p,HW:[[639,t],[879,k]]},8636:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[560,u],[787,k]]},8663:{dir:d,HW:[[560,u],[787,k]]},8664:{dir:d,HW:[[560,u],[787,k]]},8665:{dir:d,HW:[[560,u],[787,k]]},8666:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[690,u],[1010,k]]},8669:{dir:p,HW:[[690,t],[1010,k]]},8678:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[930,u],[1250,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[690,u],[1010,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[954,B],[1374,k]]},8720:{dir:d,HW:[[954,B],[1374,k]]},8721:{dir:d,HW:[[954,B],[1374,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57653,e],ext:[9134,s],bot:[57654,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[500,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[500,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[888,B],[1165,k]]},8897:{dir:d,HW:[[888,B],[1165,k]]},8898:{dir:d,HW:[[898,B],[1170,k]]},8899:{dir:d,HW:[[898,B],[1170,k]]},9140:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[870,v],[1190,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10219:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10752:{dir:d,HW:[[876,B],[1132,k]]},10753:{dir:d,HW:[[876,B],[1132,k]]},10754:{dir:d,HW:[[876,B],[1132,k]]},10755:{dir:d,HW:[[898,B],[1170,k]]},10756:{dir:d,HW:[[898,B],[1170,k]]},10757:{dir:d,HW:[[880,B],[1152,k]]},10758:{dir:d,HW:[[880,B],[1152,k]]},10761:{dir:d,HW:[[716,B],[906,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]]},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[931,b],[1251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[870,b],[1190,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[880,b],[1200,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[880,b],[1200,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[690,b],[1010,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(x){var z="2.7.6";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyreTermesMathJax_Alphabets",u="GyreTermesMathJax_Arrows",w="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",t="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",v="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",q="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",s="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:p,HW:[[350,t],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},785:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},812:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},813:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},814:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},815:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},816:{dir:p,HW:[[334,l],[601,k],[720,j],[863,i],[1037,h],[1241,f],[1491,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[375,l],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[506,t],[733,k]]},8599:{dir:d,HW:[[506,t],[733,k]]},8600:{dir:d,HW:[[506,t],[733,k]]},8601:{dir:d,HW:[[506,t],[733,k]]},8602:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[880,t],[1200,k]]},8622:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[696,t],[888,k]]},8625:{dir:d,HW:[[696,t],[888,k]]},8626:{dir:d,HW:[[696,u],[888,k]]},8627:{dir:d,HW:[[696,u],[888,k]]},8630:{dir:p,HW:[[639,t],[879,k]]},8631:{dir:p,HW:[[639,t],[879,k]]},8636:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[560,u],[787,k]]},8663:{dir:d,HW:[[560,u],[787,k]]},8664:{dir:d,HW:[[560,u],[787,k]]},8665:{dir:d,HW:[[560,u],[787,k]]},8666:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[690,u],[1010,k]]},8669:{dir:p,HW:[[690,t],[1010,k]]},8678:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[930,u],[1250,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[690,u],[1010,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[954,B],[1374,k]]},8720:{dir:d,HW:[[954,B],[1374,k]]},8721:{dir:d,HW:[[954,B],[1374,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57653,e],ext:[9134,s],bot:[57654,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[500,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[500,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[888,B],[1165,k]]},8897:{dir:d,HW:[[888,B],[1165,k]]},8898:{dir:d,HW:[[898,B],[1170,k]]},8899:{dir:d,HW:[[898,B],[1170,k]]},9140:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[870,v],[1190,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10219:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10752:{dir:d,HW:[[876,B],[1132,k]]},10753:{dir:d,HW:[[876,B],[1132,k]]},10754:{dir:d,HW:[[876,B],[1132,k]]},10755:{dir:d,HW:[[898,B],[1170,k]]},10756:{dir:d,HW:[[898,B],[1170,k]]},10757:{dir:d,HW:[[880,B],[1152,k]]},10758:{dir:d,HW:[[880,B],[1152,k]]},10761:{dir:d,HW:[[716,B],[906,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]]},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[931,b],[1251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[870,b],[1190,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[880,b],[1200,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[880,b],[1200,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[690,b],[1010,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/Gyre-Termes/fontdata.js b/jax/output/SVG/fonts/Gyre-Termes/fontdata.js index 27e3caeaec..04d53b5185 100644 --- a/jax/output/SVG/fonts/Gyre-Termes/fontdata.js +++ b/jax/output/SVG/fonts/Gyre-Termes/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(z,e,E,o){var B="2.7.5";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",C="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",F="GyreTermesMathJax_Monospace",A="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",D="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",q="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",p="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[500,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},771:{dir:r,HW:[[334,v],[601,m],[720,l],[863,k],[1037,i],[1241,g],[1491,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[956,y],[1360,m]]},8592:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[690,w],[1010,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.224,-0.224]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[706,v],[1090,m],[1474,l],[1858,k],[2242,i],[2626,g],[3010,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9002:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1350,v,1.688,124],[1827,v,2.283,124],[2303,v,2.879,124],[2780,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10217:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=200}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=150}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); +(function(z,e,E,o){var B="2.7.6";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",C="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",F="GyreTermesMathJax_Monospace",A="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",D="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",q="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",p="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[500,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},771:{dir:r,HW:[[334,v],[601,m],[720,l],[863,k],[1037,i],[1241,g],[1491,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[956,y],[1360,m]]},8592:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[690,w],[1010,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.224,-0.224]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[706,v],[1090,m],[1474,l],[1858,k],[2242,i],[2626,g],[3010,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9002:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1350,v,1.688,124],[1827,v,2.283,124],[2303,v,2.879,124],[2780,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10217:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=200}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=150}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); diff --git a/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js b/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js index f6f8ebd991..8518269482 100644 --- a/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js +++ b/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(y){var A="2.7.5";var p=y.FONTDATA.DELIMITERS;var q="H",d="V";var c="LatinModernMathJax_Alphabets",v="LatinModernMathJax_Arrows",x="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",u="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",w="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",r="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",t="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:q,HW:[[374,u],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},785:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},812:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},813:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},814:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},815:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},816:{dir:q,HW:[[370,m],[652,l],[778,k],[931,j],[1115,i],[1335,g],[1599,f],[1915,e]]},819:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[416,u],[547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[470,m],[603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[360,m],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[917,u],[1383,l]]},8599:{dir:d,HW:[[917,u],[1383,l]]},8600:{dir:d,HW:[[917,u],[1383,l]]},8601:{dir:d,HW:[[917,u],[1383,l]]},8602:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[884,u],[1330,l]]},8622:{dir:q,HW:[[884,u],[1330,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[858,u],[1168,l]]},8625:{dir:d,HW:[[858,u],[1168,l]]},8626:{dir:d,HW:[[858,v],[1168,l]]},8627:{dir:d,HW:[[858,v],[1168,l]]},8630:{dir:q,HW:[[868,u],[1218,l]]},8631:{dir:q,HW:[[868,u],[1218,l]]},8636:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[956,u],[1422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[954,v],[1420,l]]},8663:{dir:d,HW:[[954,v],[1420,l]]},8664:{dir:d,HW:[[954,v],[1420,l]]},8665:{dir:d,HW:[[954,v],[1420,l]]},8666:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[885,v],[1351,l]]},8669:{dir:q,HW:[[885,u],[1351,l]]},8678:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[950,v],[1396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[885,v],[1351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,C],[1400,l]]},8720:{dir:d,HW:[[1000,C],[1400,l]]},8721:{dir:d,HW:[[1000,C],[1400,l]]},8747:{dir:d,HW:[[1111,u],[2222,l]]},8748:{dir:d,HW:[[1111,C],[2222,l]]},8749:{dir:d,HW:[[1111,C],[2222,l]]},8750:{dir:d,HW:[[1111,C],[2222,l]]},8751:{dir:d,HW:[[1111,C],[2222,l]]},8752:{dir:d,HW:[[1111,C],[2222,l]]},8753:{dir:d,HW:[[1111,C],[2222,l]]},8754:{dir:d,HW:[[1111,C],[2222,l]]},8755:{dir:d,HW:[[1111,C],[2222,l]]},8801:{dir:q,HW:[[666,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[684,u],[868,l]]},8867:{dir:d,HW:[[684,u],[868,l]]},8868:{dir:d,HW:[[684,u],[868,l]]},8869:{dir:d,HW:[[684,u],[868,l]]},8896:{dir:d,HW:[[1044,C],[1393,l]]},8897:{dir:d,HW:[[1044,C],[1393,l]]},8898:{dir:d,HW:[[1022,C],[1356,l]]},8899:{dir:d,HW:[[1022,C],[1356,l]]},9140:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[865,w],[1311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10219:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10752:{dir:d,HW:[[986,C],[1304,l]]},10753:{dir:d,HW:[[986,C],[1304,l]]},10754:{dir:d,HW:[[986,C],[1304,l]]},10755:{dir:d,HW:[[1022,C],[1356,l]]},10756:{dir:d,HW:[[1022,C],[1356,l]]},10757:{dir:d,HW:[[1028,C],[1372,l]]},10758:{dir:d,HW:[[1028,C],[1372,l]]},10761:{dir:d,HW:[[980,C],[1259,l]]},10764:{dir:d,HW:[[1111,C],[2222,l]]},10769:{dir:d,HW:[[1111,C],[2222,l]]},11012:{dir:q,HW:[[950,b],[1396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[865,b],[1311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[844,b],[1290,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[844,b],[1290,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[885,b],[1351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in D){if(D.hasOwnProperty(s)){p[s]=D[s]}}MathJax.Ajax.loadComplete(y.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(y){var A="2.7.6";var p=y.FONTDATA.DELIMITERS;var q="H",d="V";var c="LatinModernMathJax_Alphabets",v="LatinModernMathJax_Arrows",x="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",u="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",w="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",r="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",t="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:q,HW:[[374,u],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},785:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},812:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},813:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},814:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},815:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},816:{dir:q,HW:[[370,m],[652,l],[778,k],[931,j],[1115,i],[1335,g],[1599,f],[1915,e]]},819:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[416,u],[547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[470,m],[603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[360,m],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[917,u],[1383,l]]},8599:{dir:d,HW:[[917,u],[1383,l]]},8600:{dir:d,HW:[[917,u],[1383,l]]},8601:{dir:d,HW:[[917,u],[1383,l]]},8602:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[884,u],[1330,l]]},8622:{dir:q,HW:[[884,u],[1330,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[858,u],[1168,l]]},8625:{dir:d,HW:[[858,u],[1168,l]]},8626:{dir:d,HW:[[858,v],[1168,l]]},8627:{dir:d,HW:[[858,v],[1168,l]]},8630:{dir:q,HW:[[868,u],[1218,l]]},8631:{dir:q,HW:[[868,u],[1218,l]]},8636:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[956,u],[1422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[954,v],[1420,l]]},8663:{dir:d,HW:[[954,v],[1420,l]]},8664:{dir:d,HW:[[954,v],[1420,l]]},8665:{dir:d,HW:[[954,v],[1420,l]]},8666:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[885,v],[1351,l]]},8669:{dir:q,HW:[[885,u],[1351,l]]},8678:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[950,v],[1396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[885,v],[1351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,C],[1400,l]]},8720:{dir:d,HW:[[1000,C],[1400,l]]},8721:{dir:d,HW:[[1000,C],[1400,l]]},8747:{dir:d,HW:[[1111,u],[2222,l]]},8748:{dir:d,HW:[[1111,C],[2222,l]]},8749:{dir:d,HW:[[1111,C],[2222,l]]},8750:{dir:d,HW:[[1111,C],[2222,l]]},8751:{dir:d,HW:[[1111,C],[2222,l]]},8752:{dir:d,HW:[[1111,C],[2222,l]]},8753:{dir:d,HW:[[1111,C],[2222,l]]},8754:{dir:d,HW:[[1111,C],[2222,l]]},8755:{dir:d,HW:[[1111,C],[2222,l]]},8801:{dir:q,HW:[[666,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[684,u],[868,l]]},8867:{dir:d,HW:[[684,u],[868,l]]},8868:{dir:d,HW:[[684,u],[868,l]]},8869:{dir:d,HW:[[684,u],[868,l]]},8896:{dir:d,HW:[[1044,C],[1393,l]]},8897:{dir:d,HW:[[1044,C],[1393,l]]},8898:{dir:d,HW:[[1022,C],[1356,l]]},8899:{dir:d,HW:[[1022,C],[1356,l]]},9140:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[865,w],[1311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10219:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10752:{dir:d,HW:[[986,C],[1304,l]]},10753:{dir:d,HW:[[986,C],[1304,l]]},10754:{dir:d,HW:[[986,C],[1304,l]]},10755:{dir:d,HW:[[1022,C],[1356,l]]},10756:{dir:d,HW:[[1022,C],[1356,l]]},10757:{dir:d,HW:[[1028,C],[1372,l]]},10758:{dir:d,HW:[[1028,C],[1372,l]]},10761:{dir:d,HW:[[980,C],[1259,l]]},10764:{dir:d,HW:[[1111,C],[2222,l]]},10769:{dir:d,HW:[[1111,C],[2222,l]]},11012:{dir:q,HW:[[950,b],[1396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[865,b],[1311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[844,b],[1290,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[844,b],[1290,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[885,b],[1351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in D){if(D.hasOwnProperty(s)){p[s]=D[s]}}MathJax.Ajax.loadComplete(y.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/Latin-Modern/fontdata.js b/jax/output/SVG/fonts/Latin-Modern/fontdata.js index 49fcb6a106..bcf087bf03 100644 --- a/jax/output/SVG/fonts/Latin-Modern/fontdata.js +++ b/jax/output/SVG/fonts/Latin-Modern/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(A,f,F,p){var C="2.7.5";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",D="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",G="LatinModernMathJax_Monospace",B="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",E="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",r="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",q="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};A.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},bold:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[D],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[D],bold:true,offsetA:120172},script:{fonts:[r],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[r],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[G],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[q,w,t,G,i,c,o,x,E,v,b,y,B,n]},"-tex-caligraphic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true},"-tex-oldstyle":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},"-tex-caligraphic-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true},"-tex-mathit":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:8722,dir:s},47:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},61:{dir:s,HW:[[666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},93:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:8722,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},771:{dir:s,HW:[[370,w],[652,n],[778,m],[931,l],[1115,j],[1335,h],[1599,g],[1915,e]]},8722:{HW:[],stretch:{rep:[8722,w,0,0,0,-0.31,-0.31]}},774:u,780:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:8722,dir:s},8214:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:8722,dir:s},8254:{alias:8722,dir:s},8260:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[884,w],[1330,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1014,w],[1014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[865,x],[1331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[865,w],[1331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[956,w],[1422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[956,w],[1422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1000,w],[1200,n],[1800,m],[2400,l],[3000,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9002:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9130:{dir:d,HW:[[748,v]],stretch:{ext:[9130,v]}},9135:{alias:8722,dir:s},9136:{dir:d,HW:[[750,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[750,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1000,w,null,124],[1309,w,1.309,124],[1771,w,1.771,124],[2233,w,2.233,124],[2695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:8722,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10217:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(A.fontDir+"/Main/Regular/Main.js",function(){A.FONTDATA.FONTS[w][8722][0]=A.FONTDATA.FONTS[w][43][0];A.FONTDATA.FONTS[w][8722][1]=A.FONTDATA.FONTS[w][43][1]});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size7/Regular/Main.js",function(){var H;H=A.FONTDATA.DELIMITERS[9182].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200;H=A.FONTDATA.DELIMITERS[9183].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size1/Regular/Main.js",function(){A.FONTDATA.FONTS[n][8747][2]-=425;A.FONTDATA.FONTS[n][8748][2]-=425;A.FONTDATA.FONTS[n][8749][2]-=425;A.FONTDATA.FONTS[n][8750][2]-=425;A.FONTDATA.FONTS[n][8751][2]-=425;A.FONTDATA.FONTS[n][8752][2]-=425;A.FONTDATA.FONTS[n][8753][2]-=425;A.FONTDATA.FONTS[n][8754][2]-=425;A.FONTDATA.FONTS[n][8755][2]-=425;A.FONTDATA.FONTS[n][10764][2]-=425;A.FONTDATA.FONTS[n][10769][2]-=425});F.loadComplete(A.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); +(function(A,f,F,p){var C="2.7.6";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",D="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",G="LatinModernMathJax_Monospace",B="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",E="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",r="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",q="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};A.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},bold:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[D],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[D],bold:true,offsetA:120172},script:{fonts:[r],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[r],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[G],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[q,w,t,G,i,c,o,x,E,v,b,y,B,n]},"-tex-caligraphic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true},"-tex-oldstyle":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},"-tex-caligraphic-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true},"-tex-mathit":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:8722,dir:s},47:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},61:{dir:s,HW:[[666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},93:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:8722,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},771:{dir:s,HW:[[370,w],[652,n],[778,m],[931,l],[1115,j],[1335,h],[1599,g],[1915,e]]},8722:{HW:[],stretch:{rep:[8722,w,0,0,0,-0.31,-0.31]}},774:u,780:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:8722,dir:s},8214:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:8722,dir:s},8254:{alias:8722,dir:s},8260:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[884,w],[1330,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1014,w],[1014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[865,x],[1331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[865,w],[1331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[956,w],[1422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[956,w],[1422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1000,w],[1200,n],[1800,m],[2400,l],[3000,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9002:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9130:{dir:d,HW:[[748,v]],stretch:{ext:[9130,v]}},9135:{alias:8722,dir:s},9136:{dir:d,HW:[[750,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[750,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1000,w,null,124],[1309,w,1.309,124],[1771,w,1.771,124],[2233,w,2.233,124],[2695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:8722,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10217:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(A.fontDir+"/Main/Regular/Main.js",function(){A.FONTDATA.FONTS[w][8722][0]=A.FONTDATA.FONTS[w][43][0];A.FONTDATA.FONTS[w][8722][1]=A.FONTDATA.FONTS[w][43][1]});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size7/Regular/Main.js",function(){var H;H=A.FONTDATA.DELIMITERS[9182].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200;H=A.FONTDATA.DELIMITERS[9183].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size1/Regular/Main.js",function(){A.FONTDATA.FONTS[n][8747][2]-=425;A.FONTDATA.FONTS[n][8748][2]-=425;A.FONTDATA.FONTS[n][8749][2]-=425;A.FONTDATA.FONTS[n][8750][2]-=425;A.FONTDATA.FONTS[n][8751][2]-=425;A.FONTDATA.FONTS[n][8752][2]-=425;A.FONTDATA.FONTS[n][8753][2]-=425;A.FONTDATA.FONTS[n][8754][2]-=425;A.FONTDATA.FONTS[n][8755][2]-=425;A.FONTDATA.FONTS[n][10764][2]-=425;A.FONTDATA.FONTS[n][10769][2]-=425});F.loadComplete(A.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); diff --git a/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js b/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js index 262b77ff40..f5b5a02716 100644 --- a/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js +++ b/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(u){var w="2.7.5";var l=u.FONTDATA.DELIMITERS;var n="H",d="V";var b="NeoEulerMathJax_Alphabets",s="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",r="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",o="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",q="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",t="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[912,r],[1199,j],[1799,h],[2399,g],[2999,f]]},8417:{dir:n,HW:[[449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,r]}},8430:{dir:n,HW:[[418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:n,HW:[[418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1000,y],[1400,j]]},8720:{dir:d,HW:[[1000,y],[1400,j]]},8721:{dir:d,HW:[[1000,y],[1400,j]]},8743:{dir:d,HW:[[718,r],[998,j],[1395,h]]},8744:{dir:d,HW:[[700,r],[998,j],[1395,h]]},8745:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8746:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8747:{dir:d,HW:[[1111,r],[2222,j]]},8748:{dir:d,HW:[[1111,y],[2222,j]]},8749:{dir:d,HW:[[1111,y],[2222,j]]},8750:{dir:d,HW:[[1111,y],[2222,j]]},8846:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8896:{dir:d,HW:[[718,y],[998,j],[1395,h]]},8897:{dir:d,HW:[[700,y],[998,j],[1395,h]]},8898:{dir:d,HW:[[600,y],[965,j],[1358,h]]},8899:{dir:d,HW:[[600,y],[965,j],[1358,h]]},9180:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1111,y],[2222,j]]}};for(var p in z){if(z.hasOwnProperty(p)){l[p]=z[p]}}MathJax.Ajax.loadComplete(u.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(u){var w="2.7.6";var l=u.FONTDATA.DELIMITERS;var n="H",d="V";var b="NeoEulerMathJax_Alphabets",s="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",r="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",o="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",q="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",t="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[912,r],[1199,j],[1799,h],[2399,g],[2999,f]]},8417:{dir:n,HW:[[449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,r]}},8430:{dir:n,HW:[[418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:n,HW:[[418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1000,y],[1400,j]]},8720:{dir:d,HW:[[1000,y],[1400,j]]},8721:{dir:d,HW:[[1000,y],[1400,j]]},8743:{dir:d,HW:[[718,r],[998,j],[1395,h]]},8744:{dir:d,HW:[[700,r],[998,j],[1395,h]]},8745:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8746:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8747:{dir:d,HW:[[1111,r],[2222,j]]},8748:{dir:d,HW:[[1111,y],[2222,j]]},8749:{dir:d,HW:[[1111,y],[2222,j]]},8750:{dir:d,HW:[[1111,y],[2222,j]]},8846:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8896:{dir:d,HW:[[718,y],[998,j],[1395,h]]},8897:{dir:d,HW:[[700,y],[998,j],[1395,h]]},8898:{dir:d,HW:[[600,y],[965,j],[1358,h]]},8899:{dir:d,HW:[[600,y],[965,j],[1358,h]]},9180:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1111,y],[2222,j]]}};for(var p in z){if(z.hasOwnProperty(p)){l[p]=z[p]}}MathJax.Ajax.loadComplete(u.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/Neo-Euler/fontdata.js b/jax/output/SVG/fonts/Neo-Euler/fontdata.js index c5f8669c5c..0da1675f33 100644 --- a/jax/output/SVG/fonts/Neo-Euler/fontdata.js +++ b/jax/output/SVG/fonts/Neo-Euler/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(w,e,B,m){var y="2.7.5";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",z="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",x="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Operators",o="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",n="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",C="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};w.Augment({FONTDATA:{version:y,baselineskip:1200,lineH:800,lineD:200,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,A,s,c,n,x,l]},bold:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[z],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[z],bold:true,offsetA:120172},script:{fonts:[o],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[o],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[C],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[912,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},61:{dir:p,HW:[[668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[914,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},93:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[867,t],[1567,l]]},8657:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[867,t],[1567,l]]},8659:{dir:p,HW:[[640,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[867,t,null,8656],[1632,l]]},8661:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{dir:p,HW:[],stretch:{rep:[8722,t,0,0,0,-0.31,-0.31]}},8725:{dir:d,HW:[[912,t],[1199,l],[1799,j],[2399,i],[2999,g]]},8730:{dir:d,HW:[[989,t],[1209,l],[1801,j],[2403,i],[3003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[795,t],[1505,l],[2105,j],[2706,i],[3306,g]]},8741:{dir:d,HW:[[905,t],[905,l],[1505,j],[2105,i],[2706,g],[3306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},8978:{alias:9180,dir:p},8994:{alias:9180,dir:p},8995:{alias:9181,dir:p},9001:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9002:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9130:{dir:d,HW:[[320,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[905,t,null,124],[1150,t,1.271,124],[1556,t,1.719,124],[1961,t,2.167,124],[2367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10217:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(w.fontDir+"/Main/Regular/Main.js",function(){w.FONTDATA.FONTS[t][8722][0]=w.FONTDATA.FONTS[t][43][0];w.FONTDATA.FONTS[t][8722][1]=w.FONTDATA.FONTS[t][43][1]});MathJax.Hub.Register.LoadHook(w.fontDir+"/Size5/Regular/Main.js",function(){var D;D=w.FONTDATA.DELIMITERS[9182].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200;D=w.FONTDATA.DELIMITERS[9183].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200});B.loadComplete(w.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); +(function(w,e,B,m){var y="2.7.6";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",z="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",x="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Operators",o="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",n="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",C="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};w.Augment({FONTDATA:{version:y,baselineskip:1200,lineH:800,lineD:200,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,A,s,c,n,x,l]},bold:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[z],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[z],bold:true,offsetA:120172},script:{fonts:[o],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[o],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[C],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[912,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},61:{dir:p,HW:[[668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[914,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},93:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[867,t],[1567,l]]},8657:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[867,t],[1567,l]]},8659:{dir:p,HW:[[640,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[867,t,null,8656],[1632,l]]},8661:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{dir:p,HW:[],stretch:{rep:[8722,t,0,0,0,-0.31,-0.31]}},8725:{dir:d,HW:[[912,t],[1199,l],[1799,j],[2399,i],[2999,g]]},8730:{dir:d,HW:[[989,t],[1209,l],[1801,j],[2403,i],[3003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[795,t],[1505,l],[2105,j],[2706,i],[3306,g]]},8741:{dir:d,HW:[[905,t],[905,l],[1505,j],[2105,i],[2706,g],[3306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},8978:{alias:9180,dir:p},8994:{alias:9180,dir:p},8995:{alias:9181,dir:p},9001:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9002:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9130:{dir:d,HW:[[320,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[905,t,null,124],[1150,t,1.271,124],[1556,t,1.719,124],[1961,t,2.167,124],[2367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10217:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(w.fontDir+"/Main/Regular/Main.js",function(){w.FONTDATA.FONTS[t][8722][0]=w.FONTDATA.FONTS[t][43][0];w.FONTDATA.FONTS[t][8722][1]=w.FONTDATA.FONTS[t][43][1]});MathJax.Hub.Register.LoadHook(w.fontDir+"/Size5/Regular/Main.js",function(){var D;D=w.FONTDATA.DELIMITERS[9182].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200;D=w.FONTDATA.DELIMITERS[9183].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200});B.loadComplete(w.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); diff --git a/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js b/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js index 42c00a4acc..f1dcab6305 100644 --- a/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js +++ b/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(L){var B="2.7.5";var t=L.FONTDATA.DELIMITERS;var s="H",f="V";var ah=[8722,E,0,0,0,-0.26,-0.26];var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",aa="STIXMathJax_Marks",ai="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ae="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ac="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",X="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",af="STIXMathJax_Size1",ad="STIXMathJax_Size2",ab="STIXMathJax_Size3",Z="STIXMathJax_Size4",Y="STIXMathJax_Size5",ag="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",aj="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var n={61:{dir:s,HW:[[589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[311,E],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},717:{dir:s,HW:[[312,aa]],stretch:{rep:[717,aa]}},759:{dir:s,HW:[[330,aa],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},8400:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57365,Y],rep:[57366,Y]}},8401:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57366,Y],right:[57367,Y]}},8406:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57368,Y],rep:[57366,Y]}},8417:{dir:s,HW:[[478,aa]],stretch:{left:[57368,Y],rep:[57366,Y],right:[57369,Y]}},8428:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57371,Y]}},8429:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57372,Y],rep:[57370,Y]}},8430:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57373,Y],rep:[57370,Y]}},8431:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57374,Y]}},8512:{dir:f,HW:[[1022,b],[1450,af]]},8606:{dir:s,HW:[[786,E]],stretch:{left:[8606,E],rep:ah}},8607:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[786,E]],stretch:{right:[8608,E],rep:ah}},8609:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[816,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[786,E]],stretch:{left:[8592,E],rep:ah,right:[57525,x]}},8618:{dir:s,HW:[[786,E]],stretch:{left:[57524,x],rep:ah,right:[8594,E]}},8624:{dir:f,HW:[[818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[847,E]],stretch:{right:[8641,E],rep:ah}},8642:{dir:f,HW:[[818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[806,E]],stretch:{left:[8666,E],rep:[57377,Y]}},8667:{dir:s,HW:[[806,E]],stretch:{rep:[57377,Y],right:[8667,E]}},8672:{dir:s,HW:[[806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[806,x]],stretch:{left:[8676,x],rep:ah}},8677:{dir:s,HW:[[806,x]],stretch:{right:[8677,x],rep:ah}},8701:{dir:s,HW:[[806,x]],stretch:{left:[8701,x],rep:ah}},8702:{dir:s,HW:[[806,x]],stretch:{right:[8702,x],rep:ah}},8703:{dir:s,HW:[[886,x]],stretch:{left:[8701,x],rep:ah,right:[8702,x]}},8719:{dir:f,HW:[[1022,w],[1451,af]]},8720:{dir:f,HW:[[1022,w],[1451,af]]},8721:{dir:f,HW:[[1022,w],[1450,af]]},8731:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57381,Y],ext:[57379,Y],top:[57380,Y]}},8732:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57382,Y],ext:[57379,Y],top:[57380,Y]}},8747:{dir:f,HW:[[607,E],[979,af]],stretch:{top:[57404,Y],ext:[57405,Y],bot:[57406,Y]}},8748:{dir:f,HW:[[1144,w],[2269,af]]},8749:{dir:f,HW:[[1144,w],[2269,af]]},8750:{dir:f,HW:[[1144,w],[2269,af]]},8751:{dir:f,HW:[[1144,w],[2269,af]]},8752:{dir:f,HW:[[1144,w],[2269,af]]},8753:{dir:f,HW:[[1144,w],[2269,af]]},8754:{dir:f,HW:[[1144,w],[2269,af]]},8755:{dir:f,HW:[[1144,w],[2269,af]]},8896:{dir:f,HW:[[1022,w],[1451,af]]},8897:{dir:f,HW:[[1022,w],[1451,af]]},8898:{dir:f,HW:[[1032,w],[1461,af]]},8899:{dir:f,HW:[[1032,w],[1461,af]]},9130:{dir:f,HW:[[1010,Y,null,57357]],stretch:{top:[57357,Y],ext:[57357,Y],bot:[57357,Y]}},9140:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57383,Y],rep:[57384,Y],right:[57385,Y]}},9141:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57386,Y],rep:[57387,Y],right:[57388,Y]}},9168:{dir:f,HW:[[304,E],[690,af],[879,ad],[1350,ad,1.536],[1827,ad,2.078],[2303,ad,2.62],[2780,ad,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57389,Y],rep:[57384,Y],right:[57390,Y]}},9181:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57391,Y],rep:[57387,Y],right:[57392,Y]}},9184:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},9185:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},10098:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10099:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10214:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10219:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10224:{dir:f,HW:[[818,x]],stretch:{ext:[57399,Y],top:[10224,x]}},10225:{dir:f,HW:[[818,x]],stretch:{bot:[10225,x],ext:[57399,Y]}},10502:{dir:s,HW:[[816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[818,x]],stretch:{ext:[57400,Y],top:[10506,x]}},10507:{dir:f,HW:[[818,x]],stretch:{bot:[10507,x],ext:[57400,Y]}},10514:{dir:f,HW:[[818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[850,x]],stretch:{left:[8636,E],rep:ah,right:[8640,E]}},10575:{dir:f,HW:[[818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[850,x]],stretch:{left:[8637,E],rep:ah,right:[8641,E]}},10577:{dir:f,HW:[[818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[816,x]],stretch:{left:[10578,x],rep:ah}},10579:{dir:s,HW:[[816,x]],stretch:{right:[10579,x],rep:ah}},10580:{dir:f,HW:[[818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[816,x]],stretch:{left:[10582,x],rep:ah}},10583:{dir:s,HW:[[816,x]],stretch:{right:[10583,x],rep:ah}},10584:{dir:f,HW:[[818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[816,x]],stretch:{left:[8636,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10587:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8640,E]}},10588:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[816,x]],stretch:{left:[8637,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10591:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8641,E]}},10592:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10628:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10629:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10630:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10647:{dir:f,HW:[[932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1022,w],[1451,af]]},10753:{dir:f,HW:[[1022,w],[1451,af]]},10754:{dir:f,HW:[[1022,w],[1451,af]]},10755:{dir:f,HW:[[1032,w],[1461,af]]},10756:{dir:f,HW:[[1032,w],[1461,af]]},10757:{dir:f,HW:[[1022,w],[1451,af]]},10758:{dir:f,HW:[[1022,w],[1451,af]]},10759:{dir:f,HW:[[1022,w],[1451,af]]},10760:{dir:f,HW:[[1022,w],[1451,af]]},10761:{dir:f,HW:[[1022,w],[1451,af]]},10762:{dir:f,HW:[[1022,w],[1450,af]]},10763:{dir:f,HW:[[1144,w],[2269,af]]},10764:{dir:f,HW:[[1144,w],[2269,af]]},10765:{dir:f,HW:[[1144,w],[2269,af]]},10766:{dir:f,HW:[[1144,w],[2269,af]]},10767:{dir:f,HW:[[1144,w],[2269,af]]},10768:{dir:f,HW:[[1144,w],[2269,af]]},10769:{dir:f,HW:[[1144,w],[2269,af]]},10770:{dir:f,HW:[[1144,w],[2269,af]]},10771:{dir:f,HW:[[1144,w],[2269,af]]},10772:{dir:f,HW:[[1144,w],[2269,af]]},10773:{dir:f,HW:[[1144,w],[2269,af]]},10774:{dir:f,HW:[[1144,w],[2269,af]]},10775:{dir:f,HW:[[1144,w],[2269,af]]},10776:{dir:f,HW:[[1144,w],[2269,af]]},10777:{dir:f,HW:[[1144,w],[2269,af]]},10778:{dir:f,HW:[[1144,w],[2269,af]]},10779:{dir:f,HW:[[1267,w],[2426,af]]},10780:{dir:f,HW:[[1267,w],[2426,af]]},11004:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11007:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11077:{dir:s,HW:[[818,l]],stretch:{left:[11077,l],rep:[57401,Y]}}};for(var W in n){if(n.hasOwnProperty(W)){t[W]=n[W]}}MathJax.Ajax.loadComplete(L.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(L){var B="2.7.6";var t=L.FONTDATA.DELIMITERS;var s="H",f="V";var ah=[8722,E,0,0,0,-0.26,-0.26];var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",aa="STIXMathJax_Marks",ai="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ae="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ac="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",X="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",af="STIXMathJax_Size1",ad="STIXMathJax_Size2",ab="STIXMathJax_Size3",Z="STIXMathJax_Size4",Y="STIXMathJax_Size5",ag="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",aj="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var n={61:{dir:s,HW:[[589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[311,E],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},717:{dir:s,HW:[[312,aa]],stretch:{rep:[717,aa]}},759:{dir:s,HW:[[330,aa],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},8400:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57365,Y],rep:[57366,Y]}},8401:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57366,Y],right:[57367,Y]}},8406:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57368,Y],rep:[57366,Y]}},8417:{dir:s,HW:[[478,aa]],stretch:{left:[57368,Y],rep:[57366,Y],right:[57369,Y]}},8428:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57371,Y]}},8429:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57372,Y],rep:[57370,Y]}},8430:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57373,Y],rep:[57370,Y]}},8431:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57374,Y]}},8512:{dir:f,HW:[[1022,b],[1450,af]]},8606:{dir:s,HW:[[786,E]],stretch:{left:[8606,E],rep:ah}},8607:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[786,E]],stretch:{right:[8608,E],rep:ah}},8609:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[816,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[786,E]],stretch:{left:[8592,E],rep:ah,right:[57525,x]}},8618:{dir:s,HW:[[786,E]],stretch:{left:[57524,x],rep:ah,right:[8594,E]}},8624:{dir:f,HW:[[818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[847,E]],stretch:{right:[8641,E],rep:ah}},8642:{dir:f,HW:[[818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[806,E]],stretch:{left:[8666,E],rep:[57377,Y]}},8667:{dir:s,HW:[[806,E]],stretch:{rep:[57377,Y],right:[8667,E]}},8672:{dir:s,HW:[[806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[806,x]],stretch:{left:[8676,x],rep:ah}},8677:{dir:s,HW:[[806,x]],stretch:{right:[8677,x],rep:ah}},8701:{dir:s,HW:[[806,x]],stretch:{left:[8701,x],rep:ah}},8702:{dir:s,HW:[[806,x]],stretch:{right:[8702,x],rep:ah}},8703:{dir:s,HW:[[886,x]],stretch:{left:[8701,x],rep:ah,right:[8702,x]}},8719:{dir:f,HW:[[1022,w],[1451,af]]},8720:{dir:f,HW:[[1022,w],[1451,af]]},8721:{dir:f,HW:[[1022,w],[1450,af]]},8731:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57381,Y],ext:[57379,Y],top:[57380,Y]}},8732:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57382,Y],ext:[57379,Y],top:[57380,Y]}},8747:{dir:f,HW:[[607,E],[979,af]],stretch:{top:[57404,Y],ext:[57405,Y],bot:[57406,Y]}},8748:{dir:f,HW:[[1144,w],[2269,af]]},8749:{dir:f,HW:[[1144,w],[2269,af]]},8750:{dir:f,HW:[[1144,w],[2269,af]]},8751:{dir:f,HW:[[1144,w],[2269,af]]},8752:{dir:f,HW:[[1144,w],[2269,af]]},8753:{dir:f,HW:[[1144,w],[2269,af]]},8754:{dir:f,HW:[[1144,w],[2269,af]]},8755:{dir:f,HW:[[1144,w],[2269,af]]},8896:{dir:f,HW:[[1022,w],[1451,af]]},8897:{dir:f,HW:[[1022,w],[1451,af]]},8898:{dir:f,HW:[[1032,w],[1461,af]]},8899:{dir:f,HW:[[1032,w],[1461,af]]},9130:{dir:f,HW:[[1010,Y,null,57357]],stretch:{top:[57357,Y],ext:[57357,Y],bot:[57357,Y]}},9140:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57383,Y],rep:[57384,Y],right:[57385,Y]}},9141:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57386,Y],rep:[57387,Y],right:[57388,Y]}},9168:{dir:f,HW:[[304,E],[690,af],[879,ad],[1350,ad,1.536],[1827,ad,2.078],[2303,ad,2.62],[2780,ad,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57389,Y],rep:[57384,Y],right:[57390,Y]}},9181:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57391,Y],rep:[57387,Y],right:[57392,Y]}},9184:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},9185:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},10098:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10099:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10214:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10219:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10224:{dir:f,HW:[[818,x]],stretch:{ext:[57399,Y],top:[10224,x]}},10225:{dir:f,HW:[[818,x]],stretch:{bot:[10225,x],ext:[57399,Y]}},10502:{dir:s,HW:[[816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[818,x]],stretch:{ext:[57400,Y],top:[10506,x]}},10507:{dir:f,HW:[[818,x]],stretch:{bot:[10507,x],ext:[57400,Y]}},10514:{dir:f,HW:[[818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[850,x]],stretch:{left:[8636,E],rep:ah,right:[8640,E]}},10575:{dir:f,HW:[[818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[850,x]],stretch:{left:[8637,E],rep:ah,right:[8641,E]}},10577:{dir:f,HW:[[818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[816,x]],stretch:{left:[10578,x],rep:ah}},10579:{dir:s,HW:[[816,x]],stretch:{right:[10579,x],rep:ah}},10580:{dir:f,HW:[[818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[816,x]],stretch:{left:[10582,x],rep:ah}},10583:{dir:s,HW:[[816,x]],stretch:{right:[10583,x],rep:ah}},10584:{dir:f,HW:[[818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[816,x]],stretch:{left:[8636,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10587:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8640,E]}},10588:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[816,x]],stretch:{left:[8637,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10591:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8641,E]}},10592:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10628:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10629:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10630:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10647:{dir:f,HW:[[932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1022,w],[1451,af]]},10753:{dir:f,HW:[[1022,w],[1451,af]]},10754:{dir:f,HW:[[1022,w],[1451,af]]},10755:{dir:f,HW:[[1032,w],[1461,af]]},10756:{dir:f,HW:[[1032,w],[1461,af]]},10757:{dir:f,HW:[[1022,w],[1451,af]]},10758:{dir:f,HW:[[1022,w],[1451,af]]},10759:{dir:f,HW:[[1022,w],[1451,af]]},10760:{dir:f,HW:[[1022,w],[1451,af]]},10761:{dir:f,HW:[[1022,w],[1451,af]]},10762:{dir:f,HW:[[1022,w],[1450,af]]},10763:{dir:f,HW:[[1144,w],[2269,af]]},10764:{dir:f,HW:[[1144,w],[2269,af]]},10765:{dir:f,HW:[[1144,w],[2269,af]]},10766:{dir:f,HW:[[1144,w],[2269,af]]},10767:{dir:f,HW:[[1144,w],[2269,af]]},10768:{dir:f,HW:[[1144,w],[2269,af]]},10769:{dir:f,HW:[[1144,w],[2269,af]]},10770:{dir:f,HW:[[1144,w],[2269,af]]},10771:{dir:f,HW:[[1144,w],[2269,af]]},10772:{dir:f,HW:[[1144,w],[2269,af]]},10773:{dir:f,HW:[[1144,w],[2269,af]]},10774:{dir:f,HW:[[1144,w],[2269,af]]},10775:{dir:f,HW:[[1144,w],[2269,af]]},10776:{dir:f,HW:[[1144,w],[2269,af]]},10777:{dir:f,HW:[[1144,w],[2269,af]]},10778:{dir:f,HW:[[1144,w],[2269,af]]},10779:{dir:f,HW:[[1267,w],[2426,af]]},10780:{dir:f,HW:[[1267,w],[2426,af]]},11004:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11007:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11077:{dir:s,HW:[[818,l]],stretch:{left:[11077,l],rep:[57401,Y]}}};for(var W in n){if(n.hasOwnProperty(W)){t[W]=n[W]}}MathJax.Ajax.loadComplete(L.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/STIX-Web/fontdata.js b/jax/output/SVG/fonts/STIX-Web/fontdata.js index a0c0c9a578..9d8f8a4ed7 100644 --- a/jax/output/SVG/fonts/STIX-Web/fontdata.js +++ b/jax/output/SVG/fonts/STIX-Web/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(N,l,an,s){var C="2.7.5";var u="STIXMathJax_Alphabets-bold-italic",I="STIXMathJax_Alphabets-bold",A="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",U="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",X="STIXMathJax_Latin-bold-italic",D="STIXMathJax_Latin-bold",E="STIXMathJax_Latin-italic",L="STIXMathJax_Latin",T="STIXMathJax_Main-bold-italic",al="STIXMathJax_Main-bold",R="STIXMathJax_Main-italic",F="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",J="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",ab="STIXMathJax_Marks",aj="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",af="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",am="STIXMathJax_Monospace",ad="STIXMathJax_Normal-bold-italic",S="STIXMathJax_Normal-bold",W="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",P="STIXMathJax_SansSerif-bold-italic",B="STIXMathJax_SansSerif-bold",ao="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",Q="STIXMathJax_Script-italic",Y="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",K="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ag="STIXMathJax_Size1",ae="STIXMathJax_Size2",ac="STIXMathJax_Size3",aa="STIXMathJax_Size4",Z="STIXMathJax_Size5",ah="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",G="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ak="STIXMathJax_Variants-italic",O="STIXMathJax_Variants";var t="H",f="V",M={load:"extra",dir:t},z={load:"extra",dir:f};var ai=[8722,F,0,0,0,-0.26,-0.26];N.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[F,am,L,e,ab,x,w,v,m,y,O,ag],remap:{124:[124,"-STIX-Web-variant"]}},bold:{fonts:[al,S,q,i,B,D,I,J,U,j,ah,K,h,o,ag],offsetA:119808,offsetG:120488,remap:{8706:120539,8711:120513},bold:true},italic:{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],offsetA:119860,offsetG:120546,remap:{119893:8462,8706:120597,8711:120571},italic:true},"bold-italic":{fonts:[T,ad,a,g,P,X,u,k,r,aj,G,ag],offsetA:119860,offsetG:120604,remap:{119893:8462,8706:120655,8711:120629},bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],offsetA:120172,bold:true},script:{fonts:[Q],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],offsetA:120016,bold:true,italic:true},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{fonts:[B],offsetA:120276,offsetN:120812,offsetG:120662,remap:{8706:120713,8711:120687},bold:true},"sans-serif-italic":{fonts:[ao],offsetA:120328,offsetN:57780,offsetP:57791,remap:{8706:57790},italic:true},"sans-serif-bold-italic":{fonts:[P],offsetA:120380,offsetN:57846,offsetG:120720,remap:{8706:120771,8711:120745},bold:true,italic:true},monospace:{fonts:[am],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663,124:[124,l.VARIANT.NORMAL]},fonts:[O,m,w,F,am,L,e,ab,x,v,y,ag]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ak,R,W,Q,c,ao,E,A,n,af,ag],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[O,F,am,L,e,ab,x,w,v,m,y,ag]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[G,T,ad,a,g,P,X,u,k,r,aj,ag],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,al,S,q,i,B,D,I,J,U,j,ah,K,h,ag],bold:true},"-tex-mathit":{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],italic:true,noIC:true},"-largeOp":{fonts:[ag,F]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:9135,REMAP:{10:32,12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},41:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},45:{alias:9135,dir:t},47:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},61:M,91:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z],top:[57352,Z]}},92:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},93:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z],top:[57355,Z]}},94:{alias:710,dir:t},95:{alias:9135,dir:t},123:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57356,Z],ext:[57357,Z],mid:[57358,Z],top:[57359,Z]}},124:{dir:f,HW:[[690,F]],stretch:{bot:[124,F],ext:[124,F]}},125:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57360,Z],ext:[57357,Z],mid:[57361,Z],top:[57362,Z]}},126:{alias:732,dir:t},175:{alias:9135,dir:t},710:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},711:M,713:{alias:9135,dir:t},717:M,732:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},759:M,770:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},771:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},773:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57363,Z],rep:[57363,Z]}},780:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},816:{dir:t,HW:[[330,ab],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},818:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57364,Z],rep:[57364,Z]}},824:{dir:f,HW:[[818,F],[553,ag],[662,ae],[818,ac],[959,aa],[1414,Z]]},8213:{alias:9135,dir:t},8214:{dir:f,HW:[[879,F]],stretch:{bot:[8214,F],ext:[8214,F]}},8215:{alias:9135,dir:t},8254:{dir:t,HW:[[500,F],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[8254,F],rep:[8254,F]}},8400:M,8401:M,8406:M,8407:{dir:t,HW:[[436,F],[872,ag],[1308,ae],[1744,ac],[2180,aa],[3000,Z]],stretch:{rep:[57366,Z],right:[57369,Z]}},8417:M,8428:M,8429:M,8430:M,8431:M,8512:z,8592:{dir:t,HW:[[786,F]],stretch:{left:[8592,F],rep:ai}},8593:{dir:f,HW:[[818,F]],stretch:{ext:[9168,F],top:[8593,F]}},8594:{dir:t,HW:[[786,F]],stretch:{rep:ai,right:[8594,F]}},8595:{dir:f,HW:[[818,F]],stretch:{bot:[8595,F],ext:[9168,F]}},8596:{dir:t,HW:[[850,F]],stretch:{left:[8592,F],rep:ai,right:[8594,F]}},8597:{dir:f,HW:[[954,F]],stretch:{bot:[8595,F],ext:[9168,F],top:[8593,F]}},8606:M,8607:z,8608:M,8609:z,8612:M,8613:z,8614:M,8615:z,8616:z,8617:M,8618:M,8624:z,8625:z,8626:z,8627:z,8628:M,8629:z,8636:M,8637:M,8638:z,8639:z,8640:M,8641:M,8642:z,8643:z,8651:M,8652:M,8656:{dir:t,HW:[[806,F]],stretch:{left:[8656,F],rep:[57375,Z]}},8657:{dir:f,HW:[[818,F]],stretch:{ext:[57376,Z],top:[8657,F]}},8658:{dir:t,HW:[[806,F]],stretch:{rep:[57375,Z],right:[8658,F]}},8659:{dir:f,HW:[[818,F]],stretch:{bot:[8659,F],ext:[57376,Z]}},8660:{dir:t,HW:[[886,F]],stretch:{left:[8656,F],rep:[57375,Z],right:[8658,F]}},8661:{dir:f,HW:[[954,F]],stretch:{bot:[8659,F],ext:[57376,Z],top:[8657,F]}},8666:M,8667:M,8672:M,8673:z,8674:M,8675:z,8676:M,8677:M,8701:M,8702:M,8703:M,8719:z,8720:z,8721:z,8722:{alias:9135,dir:t},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1232,F],[1847,ag],[2460,ae],[3075,ac]],stretch:{bot:[57378,Z],ext:[57379,Z],top:[57380,Z]}},8731:z,8732:z,8739:{dir:f,HW:[[879,F]],stretch:{ext:[8739,F]}},8741:{dir:f,HW:[[879,F]],stretch:{ext:[8741,F]}},8747:z,8748:z,8749:z,8750:z,8751:z,8752:z,8753:z,8754:z,8755:z,8896:z,8897:z,8898:z,8899:z,8968:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57351,Z],top:[57352,Z]}},8969:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57354,Z],top:[57355,Z]}},8970:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z]}},8971:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z]}},8978:{alias:9180,dir:t},8994:{alias:9180,dir:t},8995:{alias:9181,dir:t},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:z,9135:{dir:t,HW:[[315,v]],stretch:{rep:[9135,v]}},9136:{dir:f,HW:[[1000,Z,null,57402]],stretch:{top:[57359,Z],ext:[57357,Z],bot:[57360,Z]}},9137:{dir:f,HW:[[1000,Z,null,57403]],stretch:{top:[57362,Z],ext:[57357,Z],bot:[57356,Z]}},9140:M,9141:M,9168:z,9180:M,9181:M,9182:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57393,Z],rep:[57384,Z],mid:[57394,Z],right:[57395,Z]}},9183:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57396,Z],rep:[57387,Z],mid:[57397,Z],right:[57398,Z]}},9184:M,9185:M,9472:{alias:8722,dir:t},10072:{alias:8739,dir:f},10098:z,10099:z,10214:z,10215:z,10216:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10217:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10218:z,10219:z,10222:{dir:f,HW:[[853,F]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},10223:{dir:f,HW:[[853,F]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},10224:z,10225:z,10229:{alias:8592,dir:t},10230:{alias:8594,dir:t},10231:{alias:8596,dir:t},10232:{alias:8656,dir:t},10233:{alias:8658,dir:t},10234:{alias:8660,dir:t},10235:{alias:8612,dir:t},10236:{alias:8614,dir:t},10237:{alias:10502,dir:t},10238:{alias:10503,dir:t},10502:M,10503:M,10506:z,10507:z,10514:z,10515:z,10574:M,10575:z,10576:M,10577:z,10578:M,10579:M,10580:z,10581:z,10582:M,10583:M,10584:z,10585:z,10586:M,10587:M,10588:z,10589:z,10590:M,10591:M,10592:z,10593:z,10624:z,10627:z,10628:z,10629:z,10630:z,10647:z,10648:z,10744:{dir:f,HW:[[1020,F],[1845,ag]]},10745:{dir:f,HW:[[1020,F],[1845,ag]]},10752:z,10753:z,10754:z,10755:z,10756:z,10757:z,10758:z,10759:z,10760:z,10761:z,10762:z,10763:z,10764:z,10765:z,10766:z,10767:z,10768:z,10769:z,10770:z,10771:z,10772:z,10773:z,10774:z,10775:z,10776:z,10777:z,10778:z,10779:z,10780:z,11004:z,11007:z,11077:M,11078:{dir:t,HW:[[818,m]],stretch:{rep:[57401,Z],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:t},65080:{alias:9183,dir:t}}}});MathJax.Hub.Register.LoadHook(N.fontDir+"/Main/Regular/Main.js",function(){N.FONTDATA.FONTS[F][8942][0]+=400;N.FONTDATA.FONTS[F][8945][0]+=500;N.FONTDATA.FONTS[F][8722][0]=N.FONTDATA.FONTS[F][43][0];N.FONTDATA.FONTS[F][8722][1]=N.FONTDATA.FONTS[F][43][1];N.FONTDATA.FONTS[F][61][1]+=100});MathJax.Hub.Register.LoadHook(N.fontDir+"/Size5/Regular/Main.js",function(){var H;H=N.FONTDATA.DELIMITERS[9182].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200;H=N.FONTDATA.DELIMITERS[9183].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200});an.loadComplete(N.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); +(function(N,l,an,s){var C="2.7.6";var u="STIXMathJax_Alphabets-bold-italic",I="STIXMathJax_Alphabets-bold",A="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",U="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",X="STIXMathJax_Latin-bold-italic",D="STIXMathJax_Latin-bold",E="STIXMathJax_Latin-italic",L="STIXMathJax_Latin",T="STIXMathJax_Main-bold-italic",al="STIXMathJax_Main-bold",R="STIXMathJax_Main-italic",F="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",J="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",ab="STIXMathJax_Marks",aj="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",af="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",am="STIXMathJax_Monospace",ad="STIXMathJax_Normal-bold-italic",S="STIXMathJax_Normal-bold",W="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",P="STIXMathJax_SansSerif-bold-italic",B="STIXMathJax_SansSerif-bold",ao="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",Q="STIXMathJax_Script-italic",Y="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",K="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ag="STIXMathJax_Size1",ae="STIXMathJax_Size2",ac="STIXMathJax_Size3",aa="STIXMathJax_Size4",Z="STIXMathJax_Size5",ah="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",G="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ak="STIXMathJax_Variants-italic",O="STIXMathJax_Variants";var t="H",f="V",M={load:"extra",dir:t},z={load:"extra",dir:f};var ai=[8722,F,0,0,0,-0.26,-0.26];N.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[F,am,L,e,ab,x,w,v,m,y,O,ag],remap:{124:[124,"-STIX-Web-variant"]}},bold:{fonts:[al,S,q,i,B,D,I,J,U,j,ah,K,h,o,ag],offsetA:119808,offsetG:120488,remap:{8706:120539,8711:120513},bold:true},italic:{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],offsetA:119860,offsetG:120546,remap:{119893:8462,8706:120597,8711:120571},italic:true},"bold-italic":{fonts:[T,ad,a,g,P,X,u,k,r,aj,G,ag],offsetA:119860,offsetG:120604,remap:{119893:8462,8706:120655,8711:120629},bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],offsetA:120172,bold:true},script:{fonts:[Q],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],offsetA:120016,bold:true,italic:true},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{fonts:[B],offsetA:120276,offsetN:120812,offsetG:120662,remap:{8706:120713,8711:120687},bold:true},"sans-serif-italic":{fonts:[ao],offsetA:120328,offsetN:57780,offsetP:57791,remap:{8706:57790},italic:true},"sans-serif-bold-italic":{fonts:[P],offsetA:120380,offsetN:57846,offsetG:120720,remap:{8706:120771,8711:120745},bold:true,italic:true},monospace:{fonts:[am],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663,124:[124,l.VARIANT.NORMAL]},fonts:[O,m,w,F,am,L,e,ab,x,v,y,ag]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ak,R,W,Q,c,ao,E,A,n,af,ag],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[O,F,am,L,e,ab,x,w,v,m,y,ag]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[G,T,ad,a,g,P,X,u,k,r,aj,ag],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,al,S,q,i,B,D,I,J,U,j,ah,K,h,ag],bold:true},"-tex-mathit":{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],italic:true,noIC:true},"-largeOp":{fonts:[ag,F]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:9135,REMAP:{10:32,12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},41:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},45:{alias:9135,dir:t},47:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},61:M,91:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z],top:[57352,Z]}},92:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},93:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z],top:[57355,Z]}},94:{alias:710,dir:t},95:{alias:9135,dir:t},123:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57356,Z],ext:[57357,Z],mid:[57358,Z],top:[57359,Z]}},124:{dir:f,HW:[[690,F]],stretch:{bot:[124,F],ext:[124,F]}},125:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57360,Z],ext:[57357,Z],mid:[57361,Z],top:[57362,Z]}},126:{alias:732,dir:t},175:{alias:9135,dir:t},710:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},711:M,713:{alias:9135,dir:t},717:M,732:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},759:M,770:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},771:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},773:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57363,Z],rep:[57363,Z]}},780:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},816:{dir:t,HW:[[330,ab],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},818:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57364,Z],rep:[57364,Z]}},824:{dir:f,HW:[[818,F],[553,ag],[662,ae],[818,ac],[959,aa],[1414,Z]]},8213:{alias:9135,dir:t},8214:{dir:f,HW:[[879,F]],stretch:{bot:[8214,F],ext:[8214,F]}},8215:{alias:9135,dir:t},8254:{dir:t,HW:[[500,F],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[8254,F],rep:[8254,F]}},8400:M,8401:M,8406:M,8407:{dir:t,HW:[[436,F],[872,ag],[1308,ae],[1744,ac],[2180,aa],[3000,Z]],stretch:{rep:[57366,Z],right:[57369,Z]}},8417:M,8428:M,8429:M,8430:M,8431:M,8512:z,8592:{dir:t,HW:[[786,F]],stretch:{left:[8592,F],rep:ai}},8593:{dir:f,HW:[[818,F]],stretch:{ext:[9168,F],top:[8593,F]}},8594:{dir:t,HW:[[786,F]],stretch:{rep:ai,right:[8594,F]}},8595:{dir:f,HW:[[818,F]],stretch:{bot:[8595,F],ext:[9168,F]}},8596:{dir:t,HW:[[850,F]],stretch:{left:[8592,F],rep:ai,right:[8594,F]}},8597:{dir:f,HW:[[954,F]],stretch:{bot:[8595,F],ext:[9168,F],top:[8593,F]}},8606:M,8607:z,8608:M,8609:z,8612:M,8613:z,8614:M,8615:z,8616:z,8617:M,8618:M,8624:z,8625:z,8626:z,8627:z,8628:M,8629:z,8636:M,8637:M,8638:z,8639:z,8640:M,8641:M,8642:z,8643:z,8651:M,8652:M,8656:{dir:t,HW:[[806,F]],stretch:{left:[8656,F],rep:[57375,Z]}},8657:{dir:f,HW:[[818,F]],stretch:{ext:[57376,Z],top:[8657,F]}},8658:{dir:t,HW:[[806,F]],stretch:{rep:[57375,Z],right:[8658,F]}},8659:{dir:f,HW:[[818,F]],stretch:{bot:[8659,F],ext:[57376,Z]}},8660:{dir:t,HW:[[886,F]],stretch:{left:[8656,F],rep:[57375,Z],right:[8658,F]}},8661:{dir:f,HW:[[954,F]],stretch:{bot:[8659,F],ext:[57376,Z],top:[8657,F]}},8666:M,8667:M,8672:M,8673:z,8674:M,8675:z,8676:M,8677:M,8701:M,8702:M,8703:M,8719:z,8720:z,8721:z,8722:{alias:9135,dir:t},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1232,F],[1847,ag],[2460,ae],[3075,ac]],stretch:{bot:[57378,Z],ext:[57379,Z],top:[57380,Z]}},8731:z,8732:z,8739:{dir:f,HW:[[879,F]],stretch:{ext:[8739,F]}},8741:{dir:f,HW:[[879,F]],stretch:{ext:[8741,F]}},8747:z,8748:z,8749:z,8750:z,8751:z,8752:z,8753:z,8754:z,8755:z,8896:z,8897:z,8898:z,8899:z,8968:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57351,Z],top:[57352,Z]}},8969:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57354,Z],top:[57355,Z]}},8970:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z]}},8971:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z]}},8978:{alias:9180,dir:t},8994:{alias:9180,dir:t},8995:{alias:9181,dir:t},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:z,9135:{dir:t,HW:[[315,v]],stretch:{rep:[9135,v]}},9136:{dir:f,HW:[[1000,Z,null,57402]],stretch:{top:[57359,Z],ext:[57357,Z],bot:[57360,Z]}},9137:{dir:f,HW:[[1000,Z,null,57403]],stretch:{top:[57362,Z],ext:[57357,Z],bot:[57356,Z]}},9140:M,9141:M,9168:z,9180:M,9181:M,9182:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57393,Z],rep:[57384,Z],mid:[57394,Z],right:[57395,Z]}},9183:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57396,Z],rep:[57387,Z],mid:[57397,Z],right:[57398,Z]}},9184:M,9185:M,9472:{alias:8722,dir:t},10072:{alias:8739,dir:f},10098:z,10099:z,10214:z,10215:z,10216:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10217:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10218:z,10219:z,10222:{dir:f,HW:[[853,F]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},10223:{dir:f,HW:[[853,F]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},10224:z,10225:z,10229:{alias:8592,dir:t},10230:{alias:8594,dir:t},10231:{alias:8596,dir:t},10232:{alias:8656,dir:t},10233:{alias:8658,dir:t},10234:{alias:8660,dir:t},10235:{alias:8612,dir:t},10236:{alias:8614,dir:t},10237:{alias:10502,dir:t},10238:{alias:10503,dir:t},10502:M,10503:M,10506:z,10507:z,10514:z,10515:z,10574:M,10575:z,10576:M,10577:z,10578:M,10579:M,10580:z,10581:z,10582:M,10583:M,10584:z,10585:z,10586:M,10587:M,10588:z,10589:z,10590:M,10591:M,10592:z,10593:z,10624:z,10627:z,10628:z,10629:z,10630:z,10647:z,10648:z,10744:{dir:f,HW:[[1020,F],[1845,ag]]},10745:{dir:f,HW:[[1020,F],[1845,ag]]},10752:z,10753:z,10754:z,10755:z,10756:z,10757:z,10758:z,10759:z,10760:z,10761:z,10762:z,10763:z,10764:z,10765:z,10766:z,10767:z,10768:z,10769:z,10770:z,10771:z,10772:z,10773:z,10774:z,10775:z,10776:z,10777:z,10778:z,10779:z,10780:z,11004:z,11007:z,11077:M,11078:{dir:t,HW:[[818,m]],stretch:{rep:[57401,Z],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:t},65080:{alias:9183,dir:t}}}});MathJax.Hub.Register.LoadHook(N.fontDir+"/Main/Regular/Main.js",function(){N.FONTDATA.FONTS[F][8942][0]+=400;N.FONTDATA.FONTS[F][8945][0]+=500;N.FONTDATA.FONTS[F][8722][0]=N.FONTDATA.FONTS[F][43][0];N.FONTDATA.FONTS[F][8722][1]=N.FONTDATA.FONTS[F][43][1];N.FONTDATA.FONTS[F][61][1]+=100});MathJax.Hub.Register.LoadHook(N.fontDir+"/Size5/Regular/Main.js",function(){var H;H=N.FONTDATA.DELIMITERS[9182].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200;H=N.FONTDATA.DELIMITERS[9183].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200});an.loadComplete(N.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub); diff --git a/jax/output/SVG/fonts/TeX/fontdata-extra.js b/jax/output/SVG/fonts/TeX/fontdata-extra.js index 445efbd2e2..c526c68e9b 100644 --- a/jax/output/SVG/fonts/TeX/fontdata-extra.js +++ b/jax/output/SVG/fonts/TeX/fontdata-extra.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(a){var n="2.7.5";var m=a.FONTDATA.DELIMITERS;var h="MathJax_Main",i="MathJax_Main-bold",k="MathJax_AMS",f="MathJax_Size1",b="MathJax_Size4";var l="H",g="V";var j=[8722,h,0,0,0,-0.31,-0.31];var d=[61,h,0,0,0,0,0.1];var e={61:{dir:l,HW:[[767,h]],stretch:{rep:[61,h]}},8606:{dir:l,HW:[[1000,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1000,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,h],rep:j,right:[8739,f,0,-0.05,0.9]}},8613:{dir:g,HW:[],stretch:{min:0.6,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8593,f]}},8614:{dir:l,HW:[[1000,h]],stretch:{left:[8739,f,-0.09,-0.05,0.9],rep:j,right:[8594,h]}},8615:{dir:g,HW:[],stretch:{min:0.6,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8595,f]}},8624:{dir:g,HW:[[722,k]],stretch:{top:[8624,k],ext:[9168,f,0.097]}},8625:{dir:g,HW:[[722,k]],stretch:{top:[8625,k,0.27],ext:[9168,f]}},8636:{dir:l,HW:[[1000,h]],stretch:{left:[8636,h],rep:j}},8637:{dir:l,HW:[[1000,h]],stretch:{left:[8637,h],rep:j}},8638:{dir:g,HW:[[888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,f]}},8639:{dir:g,HW:[[888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,f]}},8640:{dir:l,HW:[[1000,h]],stretch:{right:[8640,h],rep:j}},8641:{dir:l,HW:[[1000,h]],stretch:{right:[8641,h],rep:j}},8642:{dir:g,HW:[[888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,f]}},8643:{dir:g,HW:[[888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,f]}},8666:{dir:l,HW:[[1000,k]],stretch:{left:[8666,k],rep:[8801,h]}},8667:{dir:l,HW:[[1000,k]],stretch:{right:[8667,k],rep:[8801,h]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,h,0,0.325],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,h,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[778,k,0,8994],[100,h,0,8994]],stretch:{left:[57680,b],rep:[57684,b],right:[57681,b]}},9181:{dir:l,HW:[[778,k,0,8995],[100,h,0,8995]],stretch:{left:[57682,b],rep:[57684,b],right:[57683,b]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,h,-0.1],rep:[713,h,-0.05,0.13],right:[715,h],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,h,-0.1,0.1],rep:[713,h,-0.1],right:[714,h,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,h],rep:d,right:[8739,f,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:d,right:[8658,h]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,h],rep:j,right:[8640,h]}},10575:{dir:g,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,h],rep:j,right:[8641,h]}},10577:{dir:g,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8640,h]}},10588:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8638,k,0.12,0,1.1]}},10589:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8641,h]}},10592:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8639,k,0.12,0,1.1]}},10593:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}}};for(var c in e){if(e.hasOwnProperty(c)){m[c]=e[c]}}MathJax.Ajax.loadComplete(a.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); +(function(a){var n="2.7.6";var m=a.FONTDATA.DELIMITERS;var h="MathJax_Main",i="MathJax_Main-bold",k="MathJax_AMS",f="MathJax_Size1",b="MathJax_Size4";var l="H",g="V";var j=[8722,h,0,0,0,-0.31,-0.31];var d=[61,h,0,0,0,0,0.1];var e={61:{dir:l,HW:[[767,h]],stretch:{rep:[61,h]}},8606:{dir:l,HW:[[1000,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1000,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,h],rep:j,right:[8739,f,0,-0.05,0.9]}},8613:{dir:g,HW:[],stretch:{min:0.6,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8593,f]}},8614:{dir:l,HW:[[1000,h]],stretch:{left:[8739,f,-0.09,-0.05,0.9],rep:j,right:[8594,h]}},8615:{dir:g,HW:[],stretch:{min:0.6,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8595,f]}},8624:{dir:g,HW:[[722,k]],stretch:{top:[8624,k],ext:[9168,f,0.097]}},8625:{dir:g,HW:[[722,k]],stretch:{top:[8625,k,0.27],ext:[9168,f]}},8636:{dir:l,HW:[[1000,h]],stretch:{left:[8636,h],rep:j}},8637:{dir:l,HW:[[1000,h]],stretch:{left:[8637,h],rep:j}},8638:{dir:g,HW:[[888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,f]}},8639:{dir:g,HW:[[888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,f]}},8640:{dir:l,HW:[[1000,h]],stretch:{right:[8640,h],rep:j}},8641:{dir:l,HW:[[1000,h]],stretch:{right:[8641,h],rep:j}},8642:{dir:g,HW:[[888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,f]}},8643:{dir:g,HW:[[888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,f]}},8666:{dir:l,HW:[[1000,k]],stretch:{left:[8666,k],rep:[8801,h]}},8667:{dir:l,HW:[[1000,k]],stretch:{right:[8667,k],rep:[8801,h]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,h,0,0.325],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,h,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[778,k,0,8994],[100,h,0,8994]],stretch:{left:[57680,b],rep:[57684,b],right:[57681,b]}},9181:{dir:l,HW:[[778,k,0,8995],[100,h,0,8995]],stretch:{left:[57682,b],rep:[57684,b],right:[57683,b]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,h,-0.1],rep:[713,h,-0.05,0.13],right:[715,h],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,h,-0.1,0.1],rep:[713,h,-0.1],right:[714,h,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,h],rep:d,right:[8739,f,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:d,right:[8658,h]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,h],rep:j,right:[8640,h]}},10575:{dir:g,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,h],rep:j,right:[8641,h]}},10577:{dir:g,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8640,h]}},10588:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8638,k,0.12,0,1.1]}},10589:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8641,h]}},10592:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8639,k,0.12,0,1.1]}},10593:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}}};for(var c in e){if(e.hasOwnProperty(c)){m[c]=e[c]}}MathJax.Ajax.loadComplete(a.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG); diff --git a/jax/output/SVG/fonts/TeX/fontdata.js b/jax/output/SVG/fonts/TeX/fontdata.js index daea76382e..4676c94290 100644 --- a/jax/output/SVG/fonts/TeX/fontdata.js +++ b/jax/output/SVG/fonts/TeX/fontdata.js @@ -16,4 +16,4 @@ * limitations under the License. */ -(function(o,b,r,h){var q="2.7.5";var m="MathJax_Main",s="MathJax_Main-bold",p="MathJax_Math-italic",i="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var k="H",a="V",l={load:"extra",dir:k},d={load:"extra",dir:a};var t=[[1000,m],[1200,g],[1800,f],[2400,e],[3000,c]];var j=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];o.Augment({FONTDATA:{version:q,baselineskip:1200,lineH:800,lineD:200,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[m,g,i],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8214:8741,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[s,g,i],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[p,"MathJax_Main-italic",m,g,i],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",s,g,i],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,i]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",s,g,i],bold:true},script:{fonts:["MathJax_Script",m,g,i]},"bold-script":{fonts:["MathJax_Script",s,g,i],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,i]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",s,g,i],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,i]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",p,m,g,i],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,160:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(x,w){for(var v=0,u=this.PLANE1MAP.length;v\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[p,"MathJax_Main-italic",m,g,i],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",s,g,i],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,i]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",s,g,i],bold:true},script:{fonts:["MathJax_Script",m,g,i]},"bold-script":{fonts:["MathJax_Script",s,g,i],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,i]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",s,g,i],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,i]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",p,m,g,i],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,160:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(x,w){for(var v=0,u=this.PLANE1MAP.length;v element")}}function i(){var q=e();if(q){o(q.src.replace(/\/latest\.js/,"/MathJax.js"))}else{g("Can't determine the URL for loading MathJax")}}function m(q,r,s){var t=j();if(t){t.onreadystatechange=function(){if(t.readyState===4){if(t.status===200){var v=JSON.parse(t.responseText);if(v instanceof Array){v=v[0]}var u=v[q.version];if(u.substr(0,2)==="2."){c(u);o(q.mathjax+v[q.version]+s+"/MathJax.js"+r);return}}else{g("Problem acquiring MathJax version: status = "+t.status)}i()}};t.open("GET",q.api,true);t.send(null)}else{g("Can't create XMLHttpRequest object");i()}}var n=e();var p=a(n);if(p){var b=n.src.replace(/.*?(\?|$)/,"$1");b+=(b?"&":"?")+"latest";var f=(n.src.match(/\/unpacked\/latest\.js/)?"/unpacked":"");var k=d();if(k){o(p.mathjax+k+f+"/MathJax.js"+b)}else{m(p,b,f)}}else{i()}})(); +(function(){var k={"cdnjs.cloudflare.com":{api:"https://api.cdnjs.com/libraries/mathjax?fields=version",key:"version",base:"https://cdnjs.cloudflare.com/ajax/libs/mathjax/"},"rawcdn.githack.com":{api:"https://api.github.com/repos/mathjax/mathjax/releases/latest",key:"tag_name",base:"https://rawcdn.githack.com/mathjax/MathJax/"},"gitcdn.xyz":{api:"https://api.github.com/repos/mathjax/mathjax/releases/latest",key:"tag_name",base:"https://gitcdn.xyz/mathjax/MathJax/"},"cdn.statically.io":{api:"https://api.github.com/repos/mathjax/mathjax/releases/latest",key:"tag_name",base:"https://cdn.statically.io/gh/mathjax/MathJax/"},"unpkg.com":{api:"https://api.github.com/repos/mathjax/mathjax/releases/latest",key:"tag_name",base:"https://unpkg.com/mathjax@"},"cdn.jsdelivr.net":{api:"https://api.github.com/repos/mathjax/mathjax/releases/latest",key:"tag_name",base:"https://cdn.jsdelivr.net/npm/mathjax@"}};var t={api:"https://api.github.com/repos/mathjax/mathjax/releases",key:"tag_name"};var r=2;var n="mjx-latest-version"+r;var g=1000*60*60*24*7;var s=null;function u(v){if(console&&console.error){console.error("MathJax(latest.js): "+v)}}function o(w,v){w.parentNode.removeChild(w);var z=w.src;var x=z.replace(/.*?\/latest\.js(\?|$)/,"$1");var y=(z.match(/(\d+\.\d+\.\d+)(\/unpacked)?\/latest.js\?/)||["","",""]);return{tag:w,src:z,id:w.id,version:y[1],unpacked:y[2]||"",config:x,cdn:v}}function l(x){var A=Object.keys(k);for(var z=0,v=A.length;z element")}}function q(){if(s){a(s.src.replace(/\/latest\.js/,"/MathJax.js"),s.id)}else{u("Can't determine the URL for loading MathJax")}}function b(v){var w="MathJax.js"+s.config;if(s.version&&s.version!==v){w="latest.js"+s.config}a(s.cdn.base+v+s.unpacked+"/"+w,s.id)}function d(v){var w=parseInt(v.split(/\./)[0]);if(w===r&&!v.match(/-(beta|rc)/)){c(v);b(v);return true}return false}function f(){if(window.XMLHttpRequest){return new XMLHttpRequest()}if(window.ActiveXObject){try{return new window.ActiveXObject("Msxml2.XMLHTTP")}catch(v){}try{return new window.ActiveXObject("Microsoft.XMLHTTP")}catch(v){}}}function i(v,y,w){var x=f();if(x){x.onreadystatechange=function(){if(x.readyState===4){if(x.status===200){!y(JSON.parse(x.responseText))&&w()}else{u("Problem acquiring MathJax version: status = "+x.status);w()}}};x.open("GET",v.api,true);x.send(null)}else{u("Can't create XMLHttpRequest object");w()}}function h(){i(t,function(x){if(!(x instanceof Array)){return}for(var w=0,v=x.length;w=2&&a%10<=9&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/lt.js"); +MathJax.Localization.addTranslation("lt",null,{menuTitle:"lietuvi\u0173",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Matematikos apdorojimo klaida",MathError:"Matematikos klaida",LoadFile:"\u012Ekeliama %1",Loading:"\u012Ekeliama",LoadFailed:"Nepavyko \u012Fkelti bylos: %1",ProcessMath:"Apdorojama matematika: %1%%",Processing:"Apdorojama",TypesetMath:"Renkami matematikos \u017Eenklai: %1%%",Typesetting:"\u017Denkl\u0173 rinkimas",MathJaxNotSupported:"J\u016Bs\u0173 nar\u0161ykl\u0117 \u201EMathJax\u201C nenumato"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}else{if(a%10>=2&&a%10<=9&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/lt.js"); diff --git a/localization/mk/FontWarnings.js b/localization/mk/FontWarnings.js index 8b0e765238..f5322a138f 100644 --- a/localization/mk/FontWarnings.js +++ b/localization/mk/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",imageFonts:"MathJax \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043D\u0435\u0433\u043E\u0432\u0438\u0442\u0435 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043C\u0435\u0441\u043D\u0438 \u0438\u043B\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u043F\u0430\u043D\u0434\u0430\u043D\u0438. \u041E\u0432\u0438\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u043E\u0431\u0430\u0432\u043D\u043E \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u043E\u0433\u043E\u0434\u043D\u0438 \u0437\u0430 \u043F\u0435\u0447\u0430\u0442\u0435\u045A\u0435 \u043F\u0440\u0438 \u043F\u043E\u043B\u043D\u0430 \u0440\u0430\u0437\u0434\u0435\u043B\u0435\u043D\u0430 \u043C\u043E\u045C \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0440.",noFonts:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0435 \u0444\u043E\u043D\u0442\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438, \u0430 \u043D\u0435 \u043C\u0443 \u0441\u0435 \u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438 \u043D\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0442\u043F\u0440\u0435 \u043D\u0430 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438\u0442\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0437\u043D\u0430\u0446\u0438, \u0441\u043E \u043D\u0430\u0434\u0435\u0436 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u045C\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043F\u0440\u0438\u043A\u0430\u0436\u0435. \u041D\u0435\u043A\u043E\u0438 \u0437\u043D\u0430\u0446\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u0442 \u043A\u0430\u043A\u043E \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0438\u043B\u0438 \u043F\u0430\u043A \u0432\u043E\u043E\u043F\u0448\u0442\u043E \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0458\u0430\u0432\u0430\u0442.",webFonts:"\u041D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043E\u0432\u043E\u0437\u043E\u043C\u043E\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0437\u0435\u043C\u0430\u045A\u0435 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0441\u0435\u043C\u0440\u0435\u0436\u0458\u0435\u0442\u043E. \u041A\u0432\u0430\u043B\u0438\u0442\u0435\u0442\u043E\u0442 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0434\u043E\u0431\u0440\u0438 \u0430\u043A\u043E \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043F\u043E\u043D\u043E\u0432\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 (\u0438\u043B\u0438 \u043F\u0430\u043A \u0433\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u0435 \u0441\u043E \u0434\u0440\u0443\u0433).",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1) \u0438\u043B\u0438 [\u043E\u043D\u0438\u0435 \u043D\u0430 MathJax TeX](%2). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",STIXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",TeXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 MathJax TeX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/FontWarnings.js"); +MathJax.Localization.addTranslation("mk","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",imageFonts:"MathJax \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043D\u0435\u0433\u043E\u0432\u0438\u0442\u0435 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043C\u0435\u0441\u043D\u0438 \u0438\u043B\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u043F\u0430\u043D\u0434\u0430\u043D\u0438. \u041E\u0432\u0438\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u043E\u0431\u0430\u0432\u043D\u043E \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u043E\u0433\u043E\u0434\u043D\u0438 \u0437\u0430 \u043F\u0435\u0447\u0430\u0442\u0435\u045A\u0435 \u043F\u0440\u0438 \u043F\u043E\u043B\u043D\u0430 \u0440\u0430\u0437\u0434\u0435\u043B\u0435\u043D\u0430 \u043C\u043E\u045C \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0440.",noFonts:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0435 \u0444\u043E\u043D\u0442\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438, \u0430 \u043D\u0435 \u043C\u0443 \u0441\u0435 \u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438 \u043D\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0442\u043F\u0440\u0435 \u043D\u0430 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438\u0442\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0437\u043D\u0430\u0446\u0438, \u0441\u043E \u043D\u0430\u0434\u0435\u0436 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u045C\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043F\u0440\u0438\u043A\u0430\u0436\u0435. \u041D\u0435\u043A\u043E\u0438 \u0437\u043D\u0430\u0446\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u0442 \u043A\u0430\u043A\u043E \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0438\u043B\u0438 \u043F\u0430\u043A \u0432\u043E\u043E\u043F\u0448\u0442\u043E \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0458\u0430\u0432\u0430\u0442.",webFonts:"\u041D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043E\u0432\u043E\u0437\u043E\u043C\u043E\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0437\u0435\u043C\u0430\u045A\u0435 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0441\u0435\u043C\u0440\u0435\u0436\u0458\u0435\u0442\u043E. \u041A\u0432\u0430\u043B\u0438\u0442\u0435\u0442\u043E\u0442 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0434\u043E\u0431\u0440\u0438 \u0430\u043A\u043E \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043F\u043E\u043D\u043E\u0432\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 (\u0438\u043B\u0438 \u043F\u0430\u043A \u0433\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u0435 \u0441\u043E \u0434\u0440\u0443\u0433).",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1) \u0438\u043B\u0438 [\u043E\u043D\u0438\u0435 \u043D\u0430 MathJax TeX](%2). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",STIXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",TeXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 MathJax TeX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/FontWarnings.js"); diff --git a/localization/mk/HTML-CSS.js b/localization/mk/HTML-CSS.js index 47ff47a038..ce5d68c309 100644 --- a/localization/mk/HTML-CSS.js +++ b/localization/mk/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",CantLoadWebFont:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u0432\u0447\u0438\u0442\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0432\u0447\u0438\u0442\u0430 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0434\u0430\u043B\u0435\u0447\u0438\u043D\u0441\u043A\u0438 \u0434\u043E\u043C\u0430\u045C\u0438\u043D",CantFindFontUsing:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u043F\u0440\u0438\u043A\u043B\u0430\u0434\u0435\u043D \u0444\u043E\u043D\u0442 \u0448\u0442\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438 %1",WebFontsNotAvailable:"\u041C\u0440\u0435\u0436\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0441\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438. \u040C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043C \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HTML-CSS.js"); +MathJax.Localization.addTranslation("mk","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",CantLoadWebFont:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u0432\u0447\u0438\u0442\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0432\u0447\u0438\u0442\u0430 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0434\u0430\u043B\u0435\u0447\u0438\u043D\u0441\u043A\u0438 \u0434\u043E\u043C\u0430\u045C\u0438\u043D",CantFindFontUsing:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u043F\u0440\u0438\u043A\u043B\u0430\u0434\u0435\u043D \u0444\u043E\u043D\u0442 \u0448\u0442\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438 %1",WebFontsNotAvailable:"\u041C\u0440\u0435\u0436\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0441\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438. \u040C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043C \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HTML-CSS.js"); diff --git a/localization/mk/HelpDialog.js b/localization/mk/HelpDialog.js index 304f98f117..e3f69b5cb6 100644 --- a/localization/mk/HelpDialog.js +++ b/localization/mk/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",MathJax:"*MathJax* \u0435 JavaScript-\u0431\u0438\u0431\u043B\u0438\u043E\u0442\u043A\u0430 \u0448\u0442\u043E \u0438\u043C \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u043D\u0430 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435 \u0434\u0430 \u0441\u0442\u0430\u0432\u0430\u0430\u0442 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u0441\u0435\u043C\u0440\u0435\u0436\u043D\u0438 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438. \u041A\u0430\u043A\u043E \u0447\u0438\u0442\u0430\u0442\u0435\u043B \u043D\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u043F\u0440\u0430\u0432\u0438\u0442\u0435 \u043D\u0438\u0448\u0442\u043E, \u0431\u0438\u0434\u0435\u0458\u045C\u0438 \u0442\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435 \u045C\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442.",Browsers:"*\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438*: MathJax \u0440\u0430\u0431\u043E\u0442\u0438 \u043D\u0430 \u0441\u0438\u0442\u0435 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043A\u0430\u043A\u043E IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0438 \u043D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u043C\u043E\u0431\u0438\u043B\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u043E \u043C\u0435\u043D\u0438*: MathJax \u0441\u0442\u0430\u0432\u0430 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438 \u0432\u043E \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435. \u0414\u043E \u043D\u0435\u0433\u043E \u0441\u0435 \u0434\u043E\u0430\u0453\u0430 \u0441\u043E \u0434\u0435\u0441\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442 (\u0438\u043B\u0438 Ctrl-\u0441\u0442\u0438\u0441\u043E\u043A) \u043D\u0430 \u0431\u0438\u043B\u043E \u043A\u043E\u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430.",ShowMath:"*\u041F\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E* \u0432\u0438 \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u043E\u0440\u043D\u0438\u043E\u0442 \u043A\u043E\u0434 \u043D\u0430 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0442\u0430 \u0438 \u0434\u0430 \u0433\u043E \u043F\u0440\u0435\u043A\u043E\u043F\u0438\u0440\u0430\u0442\u0435 (\u043A\u0430\u043A\u043E MathML \u0438\u043B\u0438 \u0432\u043E \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u0444\u043E\u0440\u043C\u0430\u0442).",Settings:"*\u041F\u043E\u0441\u0442\u0430\u0432\u043A\u0438* \u0432\u0438 \u0434\u0430\u0432\u0430\u0430\u0442 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0430 \u0432\u0440\u0437 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043D\u0430 MathJax \u043A\u0430\u043A\u043E \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u043E\u0442 \u0438\u0441\u043F\u0438\u0441 \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 (\u0438\u0441\u043F\u0438\u0441) \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435.",Language:"*\u0408\u0430\u0437\u0438\u043A* \u0432\u0438 \u0434\u0430\u0432\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0442\u0435 \u0458\u0430\u0437\u0438\u043A \u043D\u0430 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043F\u0440\u0435\u0434\u0443\u043F\u0440\u0435\u0434\u0443\u0432\u0430\u0447\u043A\u0438\u0442\u0435 \u043F\u043E\u0440\u0430\u043A\u0438 \u043D\u0430 MathJax.",Zoom:"*\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442*: \u0410\u043A\u043E \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u0432\u0438 \u0435 \u0441\u0438\u0442\u0435\u043D \u0437\u0430 \u0447\u0438\u0442\u0430\u045A\u0435, MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438 \u0437\u0430 \u0434\u0430 \u0432\u0438 \u0431\u0438\u0434\u0435 \u043F\u043E\u0447\u0438\u0442\u043B\u0438\u0432.",Accessibilty:"*\u041F\u043E\u0442\u0435\u0448\u043A\u043E\u0442\u0438\u0438 \u0441\u043E \u0432\u0438\u0434\u043E\u0442*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E \u0435\u043A\u0440\u0430\u043D\u0441\u043A\u0438\u0442\u0435 \u0447\u0438\u0442\u0430\u0447\u0438 \u0437\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438\u0442\u0435 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u0458\u0430\u0441\u043D\u0438 \u0437\u0430 \u043B\u0438\u0446\u0430\u0442\u0430 \u0441\u043E \u0445\u0435\u043D\u0434\u0438\u043A\u0435\u043F\u0438\u0440\u0430\u043D \u0432\u0438\u0434.",Fonts:"*\u0424\u043E\u043D\u0442\u043E\u0432\u0438*: MathJax \u045C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0441\u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447. \u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E \u045C\u0435 \u0441\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0442 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0442\u0430\u0430 \u043D\u0430\u043C\u0435\u043D\u0430. \u0418\u0430\u043A\u043E \u043D\u0435 \u0441\u0435 \u0437\u0430\u0434\u043E\u043B\u0436\u0438\u0442\u0435\u043B\u043D\u0438, \u043C\u0435\u0441\u043D\u043E \u0432\u043E\u0441\u0442\u0430\u043D\u043E\u0432\u0435\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0433\u043E \u0437\u0430\u0431\u0440\u0437\u0443\u0432\u0430\u0430\u0442 \u0438\u0441\u043F\u0438\u0441\u043E\u0442. \u0412\u0438 \u043F\u0440\u0435\u0434\u043B\u0430\u0433\u0430\u043C\u0435 \u0434\u0430 \u0433\u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1).",CloseDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u043F\u043E\u043C\u043E\u0448\u043D\u0438\u043E\u0442 \u0434\u0438\u0458\u0430\u043B\u043E\u0433"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HelpDialog.js"); +MathJax.Localization.addTranslation("mk","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",MathJax:"*MathJax* \u0435 JavaScript-\u0431\u0438\u0431\u043B\u0438\u043E\u0442\u043A\u0430 \u0448\u0442\u043E \u0438\u043C \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u043D\u0430 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435 \u0434\u0430 \u0441\u0442\u0430\u0432\u0430\u0430\u0442 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u0441\u0435\u043C\u0440\u0435\u0436\u043D\u0438 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438. \u041A\u0430\u043A\u043E \u0447\u0438\u0442\u0430\u0442\u0435\u043B \u043D\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u043F\u0440\u0430\u0432\u0438\u0442\u0435 \u043D\u0438\u0448\u0442\u043E, \u0431\u0438\u0434\u0435\u0458\u045C\u0438 \u0442\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435 \u045C\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442.",Browsers:"*\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438*: MathJax \u0440\u0430\u0431\u043E\u0442\u0438 \u043D\u0430 \u0441\u0438\u0442\u0435 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043A\u0430\u043A\u043E IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0438 \u043D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u043C\u043E\u0431\u0438\u043B\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u043E \u043C\u0435\u043D\u0438*: MathJax \u0441\u0442\u0430\u0432\u0430 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438 \u0432\u043E \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435. \u0414\u043E \u043D\u0435\u0433\u043E \u0441\u0435 \u0434\u043E\u0430\u0453\u0430 \u0441\u043E \u0434\u0435\u0441\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442 (\u0438\u043B\u0438 Ctrl-\u0441\u0442\u0438\u0441\u043E\u043A) \u043D\u0430 \u0431\u0438\u043B\u043E \u043A\u043E\u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430.",ShowMath:"*\u041F\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E* \u0432\u0438 \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u043E\u0440\u043D\u0438\u043E\u0442 \u043A\u043E\u0434 \u043D\u0430 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0442\u0430 \u0438 \u0434\u0430 \u0433\u043E \u043F\u0440\u0435\u043A\u043E\u043F\u0438\u0440\u0430\u0442\u0435 (\u043A\u0430\u043A\u043E MathML \u0438\u043B\u0438 \u0432\u043E \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u0444\u043E\u0440\u043C\u0430\u0442).",Settings:"*\u041F\u043E\u0441\u0442\u0430\u0432\u043A\u0438* \u0432\u0438 \u0434\u0430\u0432\u0430\u0430\u0442 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0430 \u0432\u0440\u0437 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043D\u0430 MathJax \u043A\u0430\u043A\u043E \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u043E\u0442 \u0438\u0441\u043F\u0438\u0441 \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 (\u0438\u0441\u043F\u0438\u0441) \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435.",Language:"*\u0408\u0430\u0437\u0438\u043A* \u0432\u0438 \u0434\u0430\u0432\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0442\u0435 \u0458\u0430\u0437\u0438\u043A \u043D\u0430 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043F\u0440\u0435\u0434\u0443\u043F\u0440\u0435\u0434\u0443\u0432\u0430\u0447\u043A\u0438\u0442\u0435 \u043F\u043E\u0440\u0430\u043A\u0438 \u043D\u0430 MathJax.",Zoom:"*\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442*: \u0410\u043A\u043E \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u0432\u0438 \u0435 \u0441\u0438\u0442\u0435\u043D \u0437\u0430 \u0447\u0438\u0442\u0430\u045A\u0435, MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438 \u0437\u0430 \u0434\u0430 \u0432\u0438 \u0431\u0438\u0434\u0435 \u043F\u043E\u0447\u0438\u0442\u043B\u0438\u0432.",Accessibilty:"*\u041F\u043E\u0442\u0435\u0448\u043A\u043E\u0442\u0438\u0438 \u0441\u043E \u0432\u0438\u0434\u043E\u0442*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E \u0435\u043A\u0440\u0430\u043D\u0441\u043A\u0438\u0442\u0435 \u0447\u0438\u0442\u0430\u0447\u0438 \u0437\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438\u0442\u0435 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u0458\u0430\u0441\u043D\u0438 \u0437\u0430 \u043B\u0438\u0446\u0430\u0442\u0430 \u0441\u043E \u0445\u0435\u043D\u0434\u0438\u043A\u0435\u043F\u0438\u0440\u0430\u043D \u0432\u0438\u0434.",Fonts:"*\u0424\u043E\u043D\u0442\u043E\u0432\u0438*: MathJax \u045C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0441\u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447. \u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E \u045C\u0435 \u0441\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0442 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0442\u0430\u0430 \u043D\u0430\u043C\u0435\u043D\u0430. \u0418\u0430\u043A\u043E \u043D\u0435 \u0441\u0435 \u0437\u0430\u0434\u043E\u043B\u0436\u0438\u0442\u0435\u043B\u043D\u0438, \u043C\u0435\u0441\u043D\u043E \u0432\u043E\u0441\u0442\u0430\u043D\u043E\u0432\u0435\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0433\u043E \u0437\u0430\u0431\u0440\u0437\u0443\u0432\u0430\u0430\u0442 \u0438\u0441\u043F\u0438\u0441\u043E\u0442. \u0412\u0438 \u043F\u0440\u0435\u0434\u043B\u0430\u0433\u0430\u043C\u0435 \u0434\u0430 \u0433\u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1).",CloseDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u043F\u043E\u043C\u043E\u0448\u043D\u0438\u043E\u0442 \u0434\u0438\u0458\u0430\u043B\u043E\u0433"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HelpDialog.js"); diff --git a/localization/mk/MathML.js b/localization/mk/MathML.js index 515314f032..96e791dd70 100644 --- a/localization/mk/MathML.js +++ b/localization/mk/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",BadMglyphFont:"\u0413\u0440\u0435\u0448\u0435\u043D \u0444\u043E\u043D\u0442: %1",MathPlayer:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438 MathPlayer.\n\n\u0414\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0432\u0438 \u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D MathPlayer, \u045C\u0435 \u0442\u0440\u0435\u0431\u0430 \u043F\u0440\u0432\u043E \u0434\u0430 \u0433\u043E \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435.\n\u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E, \u043E\u0432\u0430 \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u0442\u0435 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0458\u0430 \u0441\u043F\u0440\u0435\u0447\u0443\u0432\u0430\u0430\u0442 \u0440\u0430\u0431\u043E\u0442\u0430\u0442\u0430 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438\u0442\u0435 \u0432\u043E ActiveX. \u041F\u043E\u0458\u0434\u0435\u0442\u0435 \u0432\u043E \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438\u0442\u0435 \u043D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 \u0438 \u0441\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u043E (Custom Level). \u0422\u0430\u043C\u0443 \u043F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0432\u0438 \u0441\u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0438 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u0437\u0430 \u0440\u0430\u0431\u043E\u0442\u0430 \u0441\u043E ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0438 \u0411\u0438\u043D\u0430\u0440\u043D\u0438 \u0438 \u0441\u043A\u0440\u0438\u043F\u0442\u043D\u0438 \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0458\u0430.\n\n\u0417\u0430\u0441\u0435\u0433\u0430 \u045C\u0435 \u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0430 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u0438\u0441\u043F\u0438\u0448\u0430\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438.",CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u043E\u0437\u0434\u0430\u0434\u0435 XML-\u043F\u0430\u0440\u0441\u0435\u0440 \u0437\u0430 MathML. \u041F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0430 \u0441\u0438\u0433\u0443\u0440\u043D\u043E\u0441\u043D\u0430\u0442\u0430 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0430 ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u0438 \u0437\u0430 \u0441\u043A\u0440\u0438\u043F\u0442\u0438\u0440\u0430\u045A\u0435 (\u0432\u043E \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u0438\u043E\u0442 \u0434\u0435\u043B (Custom Level) \u043D\u0430 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442).\n\nMathJax \u043D\u0435\u043C\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathML.",UnknownNodeType:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0442\u0438\u043F \u043D\u0430 \u0458\u0430\u0437\u043E\u043B: %1",UnexpectedTextNode:"\u041D\u0435\u043E\u0447\u0435\u043A\u0443\u0432\u0430\u043D \u0458\u0430\u0437\u043E\u043B \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442: %1",ErrorParsingMathML:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML",ParsingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML: %1",MathMLSingleElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u043E\u0434 \u0435\u0434\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",MathMLRootElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u0441\u043E \u0435\u043B\u0435\u043C\u0435\u043D\u0442 \u003Cmath\u003E, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathML.js"); +MathJax.Localization.addTranslation("mk","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",BadMglyphFont:"\u0413\u0440\u0435\u0448\u0435\u043D \u0444\u043E\u043D\u0442: %1",MathPlayer:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438 MathPlayer.\n\n\u0414\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0432\u0438 \u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D MathPlayer, \u045C\u0435 \u0442\u0440\u0435\u0431\u0430 \u043F\u0440\u0432\u043E \u0434\u0430 \u0433\u043E \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435.\n\u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E, \u043E\u0432\u0430 \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u0442\u0435 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0458\u0430 \u0441\u043F\u0440\u0435\u0447\u0443\u0432\u0430\u0430\u0442 \u0440\u0430\u0431\u043E\u0442\u0430\u0442\u0430 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438\u0442\u0435 \u0432\u043E ActiveX. \u041F\u043E\u0458\u0434\u0435\u0442\u0435 \u0432\u043E \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438\u0442\u0435 \u043D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 \u0438 \u0441\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u043E (Custom Level). \u0422\u0430\u043C\u0443 \u043F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0432\u0438 \u0441\u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0438 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u0437\u0430 \u0440\u0430\u0431\u043E\u0442\u0430 \u0441\u043E ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0438 \u0411\u0438\u043D\u0430\u0440\u043D\u0438 \u0438 \u0441\u043A\u0440\u0438\u043F\u0442\u043D\u0438 \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0458\u0430.\n\n\u0417\u0430\u0441\u0435\u0433\u0430 \u045C\u0435 \u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0430 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u0438\u0441\u043F\u0438\u0448\u0430\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438.",CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u043E\u0437\u0434\u0430\u0434\u0435 XML-\u043F\u0430\u0440\u0441\u0435\u0440 \u0437\u0430 MathML. \u041F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0430 \u0441\u0438\u0433\u0443\u0440\u043D\u043E\u0441\u043D\u0430\u0442\u0430 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0430 ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u0438 \u0437\u0430 \u0441\u043A\u0440\u0438\u043F\u0442\u0438\u0440\u0430\u045A\u0435 (\u0432\u043E \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u0438\u043E\u0442 \u0434\u0435\u043B (Custom Level) \u043D\u0430 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442).\n\nMathJax \u043D\u0435\u043C\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathML.",UnknownNodeType:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0442\u0438\u043F \u043D\u0430 \u0458\u0430\u0437\u043E\u043B: %1",UnexpectedTextNode:"\u041D\u0435\u043E\u0447\u0435\u043A\u0443\u0432\u0430\u043D \u0458\u0430\u0437\u043E\u043B \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442: %1",ErrorParsingMathML:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML",ParsingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML: %1",MathMLSingleElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u043E\u0434 \u0435\u0434\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",MathMLRootElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u0441\u043E \u0435\u043B\u0435\u043C\u0435\u043D\u0442 \u003Cmath\u003E, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathML.js"); diff --git a/localization/mk/MathMenu.js b/localization/mk/MathMenu.js index 2a0b759725..6827f5dede 100644 --- a/localization/mk/MathMenu.js +++ b/localization/mk/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",MathMLcode:"MathML-\u043A\u043E\u0434",OriginalMathML:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D MathML",TeXCommands:"TeX-\u043D\u0430\u0440\u0435\u0434\u0431\u0438",AsciiMathInput:"AsciiMathML-\u0432\u043D\u043E\u0441",Original:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A",ErrorMessage:"\u0418\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u041F\u0440\u0438\u0431\u0435\u043B\u0435\u0448\u043A\u0438",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043E\u0434\u0440\u0436\u0438\u043D\u0441\u043A\u0438 MathML",OpenMath:"OpenMath",texHints:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0458 \u043F\u043E\u043C\u043E\u0448\u043D\u0438 \u043F\u0440\u0435\u0434\u043B\u043E\u0437\u0438 \u043E\u0434 TeX \u0432\u043E MathML",Settings:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438",ZoomTrigger:"\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Hover:"\u0421\u0442\u0440\u0435\u043B\u043A\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Click:"\u0421\u0442\u0438\u0441\u043E\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A",NoZoom:"\u0411\u0435\u0437 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",TriggerRequires:"\u0417\u0430 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442:",Option:"\u041C\u043E\u0436\u043D\u043E\u0441\u0442",Alt:"Alt",Command:"\u2318",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0427\u0438\u043D\u0438\u0442\u0435\u043B \u2014 \u041F\u0440\u0438\u0431\u043B\u0438\u0436\u0443\u0432\u0430\u045A\u0435",Renderer:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447",MPHandles:"\u041D\u0435\u043A\u0430 MathPlayer \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E:",MenuEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E",MouseEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",MenuAndMouse:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",FontPrefs:"\u041D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0442",ForHTMLCSS:"\u0417\u0430 HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438",TeXLocal:"TeX (\u043C\u0435\u0441\u043D\u043E)",TeXWeb:"TeX (\u043C\u0440\u0435\u0436\u043D\u043E)",TeXImage:"TeX (\u0441\u043B\u0438\u043A\u0430)",STIXLocal:"STIX (\u043C\u0435\u0441\u043D\u043E)",STIXWeb:"STIX (\u043C\u0440\u0435\u0436\u043D\u043E)",AsanaMathWeb:"Asana Math (\u043C\u0440\u0435\u0436\u043D\u043E)",GyrePagellaWeb:"Gyre Pagella (\u043C\u0440\u0435\u0436\u043D\u043E)",GyreTermesWeb:"Gyre Termes (\u043C\u0440\u0435\u0436\u043D\u043E)",LatinModernWeb:"Latin Modern (\u043C\u0440\u0435\u0436\u043D\u043E)",NeoEulerWeb:"Neo Euler (\u043C\u0440\u0435\u0436\u043D\u043E)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438",Browser:"\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447",Scale:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430 \u0458\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0432\u043E \u0440\u0430\u0437\u043C\u0435\u0440...",Discoverable:"\u0418\u0441\u0442\u0430\u043A\u043D\u0443\u0432\u0430\u0458 (\u043F\u043E\u0442\u0446\u0440\u0442\u0443\u0432\u0430\u0458) \u043F\u0440\u0438 \u043E\u0434\u0435\u045A\u0435 \u0441\u043E \u0441\u0442\u0440\u0435\u043B\u043A\u0430\u0442\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Locale:"\u0408\u0430\u0437\u0438\u043A",LoadLocale:"\u0412\u0447\u0438\u0442\u0430\u0458 \u043E\u0434 URL ...",About:"\u0417\u0430 MathJax",Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",localTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",imagefonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",localSTIXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0435\u0441\u043D\u0438 STIX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webSVGfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",genericfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",wofforotffonts:"WOFF- \u0438\u043B\u0438 OTF-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",eotffonts:"EOT-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",svgfonts:"SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",WebkitNativeMMLWarning:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435\u043C\u0430 \u0432\u0433\u0440\u0430\u0434\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0430\u043A\u043E \u0441\u0435 \u043F\u0440\u0435\u0444\u0440\u043B\u0438\u0442\u0435 \u043D\u0430 \u043D\u0435\u0433\u043E, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0430\u0442 \u0434\u0430 \u0441\u0442\u0430\u043D\u0430\u0442 \u043D\u0435\u0447\u0438\u0442\u043B\u0438\u0432\u0438.",MSIENativeMMLWarning:"Internet Explorer \u0433\u043E \u0431\u0430\u0440\u0430 \u0434\u043E\u0434\u0430\u0442\u043E\u043A\u043E\u0442 MathPlayer \u0437\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E MathML.",OperaNativeMMLWarning:"Opera \u0438\u043C\u0430 \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",SafariNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",FirefoxNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",MSIESVGWarning:"Internet Explorer \u043D\u0435\u043C\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 SVG \u0432\u043E \u0432\u0435\u0440\u0437\u0438\u0438\u0442\u0435 \u043F\u0440\u0435\u0434 IE9 \u0438\u043B\u0438 \u043A\u043E\u0433\u0430 \u0435\u043C\u0443\u043B\u0438\u0440\u0430 IE8 \u0438\u043B\u0438 \u043F\u043E\u0441\u0442\u0430\u0440\u0438 \u0432\u0435\u0440\u0437\u0438\u0438. \u0417\u0430\u0442\u043E\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E.",LoadURL:"\u0412\u0447\u0438\u0442\u0430\u0458 \u0433\u0438 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 \u0441\u043B\u0435\u0434\u043D\u0430\u0432\u0430 URL:",BadURL:"URL-\u0430\u0434\u0440\u0435\u0441\u0430\u0442\u0430 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430 \u0441\u043E JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0448\u0442\u043E \u0433\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0437\u0430 MathJax. JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0438\u0442\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u0430\u0442 \u0441\u043E \u043D\u0430\u0441\u0442\u0430\u0432\u043A\u0430\u0442\u0430 \u201E.js\u201C",BadData:"\u041D\u0435 \u0443\u0441\u043F\u0435\u0430\u0432 \u0434\u0430 \u0433\u0438 \u0432\u0447\u0438\u0442\u0430\u043C \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 %1",SwitchAnyway:"\u0421\u0435\u043F\u0430\u043A \u0434\u0430 \u0433\u043E \u0441\u043C\u0435\u043D\u0430\u043C \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447\u043E\u0442?\n\n(\u041E\u041A \u0437\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043C\u0435\u043D\u0438 \u0438\u043B\u0438 \u041E\u0422\u041A\u0410\u0416\u0418 \u0437\u0430 \u0434\u0430 \u043F\u0440\u043E\u0434\u043E\u043B\u0436\u0438\u0442\u0435 \u0441\u043E \u043F\u043E\u0441\u0442\u043E\u0435\u0447\u043A\u0438\u043E\u0442)",ScaleMath:"\u0420\u0430\u0437\u043C\u0435\u0440 \u043D\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 (\u0432\u043E \u043E\u0434\u043D\u043E\u0441 \u043D\u0430 \u043E\u043A\u043E\u043B\u043D\u0438\u043E\u0442 \u0442\u0435\u043A\u0441\u0442, \u043A\u0430\u043A\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A):",NonZeroScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043D\u0443\u043B\u0430",PercentScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0435 \u0438\u0437\u0440\u0430\u0437\u0435\u043D \u0432\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A (\u043D\u0430 \u043F\u0440. 120%%)",IE8warning:"\u0421\u043E \u043E\u0432\u0430 \u045C\u0435 \u0433\u0438 \u0438\u0441\u043A\u043B\u0443\u0447\u0438\u0442\u0435 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043E\u0434 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043C\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u0432\u043E MathJax, \u043D\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u0441\u043E Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u043D\u0435\u043A\u043E\u0458 \u0438\u0437\u0440\u0430\u0437.\n\n\u041D\u0430\u0432\u0438\u0441\u0442\u0438\u043D\u0430 \u0434\u0430 \u0433\u0438 \u0438\u0437\u043C\u0435\u0430\u043C \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438\u0442\u0435 \u043D\u0430 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0442\u043E \u043C\u0435\u043D\u0438 \u043D\u0430 MathJax \u045C\u0435 \u0431\u0438\u0434\u0435 \u0438\u0441\u043A\u043B\u0443\u0447\u0435\u043D\u043E, \u043D\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u043D\u0430\u043F\u0440\u0430\u0432\u0438\u0442\u0435 Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u0438\u0437\u0440\u0430\u0437\u043E\u0442 \u0437\u0430 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u043C\u0435\u043D\u0438\u0442\u043E.",NoOriginalForm:"\u041D\u0435\u043C\u0430 \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A \u043D\u0430 \u0440\u0430\u0441\u043F\u043E\u043B\u0430\u0433\u0430\u045A\u0435",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438",EqSource:"\u0418\u0437\u0432\u043E\u0440 \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathJax",CloseAboutDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u0434\u0438\u0458\u0430\u043B\u043E\u0433\u043E\u0442 \u0437\u0430 MathJax",FastPreview:"\u0411\u0440\u0437 \u043F\u0440\u0435\u0433\u043B\u0435\u0434",AssistiveMML:"\u041F\u043E\u043C\u043E\u0448\u0435\u043D MathML",InTabOrder:"\u0412\u043A\u043B\u0443\u0447\u0438 \u0432\u043E \u0440\u0435\u0434\u043E\u0441\u043B\u0435\u0434\u043E\u0442 \u043D\u0430 \u0458\u0430\u0437\u0438\u0447\u0438\u045A\u0430"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathMenu.js"); +MathJax.Localization.addTranslation("mk","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",MathMLcode:"MathML-\u043A\u043E\u0434",OriginalMathML:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D MathML",TeXCommands:"TeX-\u043D\u0430\u0440\u0435\u0434\u0431\u0438",AsciiMathInput:"AsciiMathML-\u0432\u043D\u043E\u0441",Original:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A",ErrorMessage:"\u0418\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u041F\u0440\u0438\u0431\u0435\u043B\u0435\u0448\u043A\u0438",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043E\u0434\u0440\u0436\u0438\u043D\u0441\u043A\u0438 MathML",OpenMath:"OpenMath",texHints:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0458 \u043F\u043E\u043C\u043E\u0448\u043D\u0438 \u043F\u0440\u0435\u0434\u043B\u043E\u0437\u0438 \u043E\u0434 TeX \u0432\u043E MathML",Settings:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438",ZoomTrigger:"\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Hover:"\u0421\u0442\u0440\u0435\u043B\u043A\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Click:"\u0421\u0442\u0438\u0441\u043E\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A",NoZoom:"\u0411\u0435\u0437 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",TriggerRequires:"\u0417\u0430 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442:",Option:"\u041C\u043E\u0436\u043D\u043E\u0441\u0442",Alt:"Alt",Command:"\u2318",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0427\u0438\u043D\u0438\u0442\u0435\u043B \u2014 \u041F\u0440\u0438\u0431\u043B\u0438\u0436\u0443\u0432\u0430\u045A\u0435",Renderer:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447",MPHandles:"\u041D\u0435\u043A\u0430 MathPlayer \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E:",MenuEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E",MouseEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",MenuAndMouse:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",FontPrefs:"\u041D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0442",ForHTMLCSS:"\u0417\u0430 HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438",TeXLocal:"TeX (\u043C\u0435\u0441\u043D\u043E)",TeXWeb:"TeX (\u043C\u0440\u0435\u0436\u043D\u043E)",TeXImage:"TeX (\u0441\u043B\u0438\u043A\u0430)",STIXLocal:"STIX (\u043C\u0435\u0441\u043D\u043E)",STIXWeb:"STIX (\u043C\u0440\u0435\u0436\u043D\u043E)",AsanaMathWeb:"Asana Math (\u043C\u0440\u0435\u0436\u043D\u043E)",GyrePagellaWeb:"Gyre Pagella (\u043C\u0440\u0435\u0436\u043D\u043E)",GyreTermesWeb:"Gyre Termes (\u043C\u0440\u0435\u0436\u043D\u043E)",LatinModernWeb:"Latin Modern (\u043C\u0440\u0435\u0436\u043D\u043E)",NeoEulerWeb:"Neo Euler (\u043C\u0440\u0435\u0436\u043D\u043E)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438",Browser:"\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447",Scale:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430 \u0458\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0432\u043E \u0440\u0430\u0437\u043C\u0435\u0440...",Discoverable:"\u0418\u0441\u0442\u0430\u043A\u043D\u0443\u0432\u0430\u0458 (\u043F\u043E\u0442\u0446\u0440\u0442\u0443\u0432\u0430\u0458) \u043F\u0440\u0438 \u043E\u0434\u0435\u045A\u0435 \u0441\u043E \u0441\u0442\u0440\u0435\u043B\u043A\u0430\u0442\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Locale:"\u0408\u0430\u0437\u0438\u043A",LoadLocale:"\u0412\u0447\u0438\u0442\u0430\u0458 \u043E\u0434 URL ...",About:"\u0417\u0430 MathJax",Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",localTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",imagefonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",localSTIXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0435\u0441\u043D\u0438 STIX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webSVGfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",genericfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",wofforotffonts:"WOFF- \u0438\u043B\u0438 OTF-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",eotffonts:"EOT-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",svgfonts:"SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",WebkitNativeMMLWarning:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435\u043C\u0430 \u0432\u0433\u0440\u0430\u0434\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0430\u043A\u043E \u0441\u0435 \u043F\u0440\u0435\u0444\u0440\u043B\u0438\u0442\u0435 \u043D\u0430 \u043D\u0435\u0433\u043E, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0430\u0442 \u0434\u0430 \u0441\u0442\u0430\u043D\u0430\u0442 \u043D\u0435\u0447\u0438\u0442\u043B\u0438\u0432\u0438.",MSIENativeMMLWarning:"Internet Explorer \u0433\u043E \u0431\u0430\u0440\u0430 \u0434\u043E\u0434\u0430\u0442\u043E\u043A\u043E\u0442 MathPlayer \u0437\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E MathML.",OperaNativeMMLWarning:"Opera \u0438\u043C\u0430 \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",SafariNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",FirefoxNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",MSIESVGWarning:"Internet Explorer \u043D\u0435\u043C\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 SVG \u0432\u043E \u0432\u0435\u0440\u0437\u0438\u0438\u0442\u0435 \u043F\u0440\u0435\u0434 IE9 \u0438\u043B\u0438 \u043A\u043E\u0433\u0430 \u0435\u043C\u0443\u043B\u0438\u0440\u0430 IE8 \u0438\u043B\u0438 \u043F\u043E\u0441\u0442\u0430\u0440\u0438 \u0432\u0435\u0440\u0437\u0438\u0438. \u0417\u0430\u0442\u043E\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E.",LoadURL:"\u0412\u0447\u0438\u0442\u0430\u0458 \u0433\u0438 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 \u0441\u043B\u0435\u0434\u043D\u0430\u0432\u0430 URL:",BadURL:"URL-\u0430\u0434\u0440\u0435\u0441\u0430\u0442\u0430 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430 \u0441\u043E JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0448\u0442\u043E \u0433\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0437\u0430 MathJax. JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0438\u0442\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u0430\u0442 \u0441\u043E \u043D\u0430\u0441\u0442\u0430\u0432\u043A\u0430\u0442\u0430 \u201E.js\u201C",BadData:"\u041D\u0435 \u0443\u0441\u043F\u0435\u0430\u0432 \u0434\u0430 \u0433\u0438 \u0432\u0447\u0438\u0442\u0430\u043C \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 %1",SwitchAnyway:"\u0421\u0435\u043F\u0430\u043A \u0434\u0430 \u0433\u043E \u0441\u043C\u0435\u043D\u0430\u043C \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447\u043E\u0442?\n\n(\u041E\u041A \u0437\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043C\u0435\u043D\u0438 \u0438\u043B\u0438 \u041E\u0422\u041A\u0410\u0416\u0418 \u0437\u0430 \u0434\u0430 \u043F\u0440\u043E\u0434\u043E\u043B\u0436\u0438\u0442\u0435 \u0441\u043E \u043F\u043E\u0441\u0442\u043E\u0435\u0447\u043A\u0438\u043E\u0442)",ScaleMath:"\u0420\u0430\u0437\u043C\u0435\u0440 \u043D\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 (\u0432\u043E \u043E\u0434\u043D\u043E\u0441 \u043D\u0430 \u043E\u043A\u043E\u043B\u043D\u0438\u043E\u0442 \u0442\u0435\u043A\u0441\u0442, \u043A\u0430\u043A\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A):",NonZeroScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043D\u0443\u043B\u0430",PercentScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0435 \u0438\u0437\u0440\u0430\u0437\u0435\u043D \u0432\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A (\u043D\u0430 \u043F\u0440. 120%%)",IE8warning:"\u0421\u043E \u043E\u0432\u0430 \u045C\u0435 \u0433\u0438 \u0438\u0441\u043A\u043B\u0443\u0447\u0438\u0442\u0435 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043E\u0434 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043C\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u0432\u043E MathJax, \u043D\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u0441\u043E Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u043D\u0435\u043A\u043E\u0458 \u0438\u0437\u0440\u0430\u0437.\n\n\u041D\u0430\u0432\u0438\u0441\u0442\u0438\u043D\u0430 \u0434\u0430 \u0433\u0438 \u0438\u0437\u043C\u0435\u0430\u043C \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438\u0442\u0435 \u043D\u0430 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0442\u043E \u043C\u0435\u043D\u0438 \u043D\u0430 MathJax \u045C\u0435 \u0431\u0438\u0434\u0435 \u0438\u0441\u043A\u043B\u0443\u0447\u0435\u043D\u043E, \u043D\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u043D\u0430\u043F\u0440\u0430\u0432\u0438\u0442\u0435 Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u0438\u0437\u0440\u0430\u0437\u043E\u0442 \u0437\u0430 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u043C\u0435\u043D\u0438\u0442\u043E.",NoOriginalForm:"\u041D\u0435\u043C\u0430 \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A \u043D\u0430 \u0440\u0430\u0441\u043F\u043E\u043B\u0430\u0433\u0430\u045A\u0435",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438",EqSource:"\u0418\u0437\u0432\u043E\u0440 \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathJax",CloseAboutDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u0434\u0438\u0458\u0430\u043B\u043E\u0433\u043E\u0442 \u0437\u0430 MathJax",FastPreview:"\u0411\u0440\u0437 \u043F\u0440\u0435\u0433\u043B\u0435\u0434",AssistiveMML:"\u041F\u043E\u043C\u043E\u0448\u0435\u043D MathML",InTabOrder:"\u0412\u043A\u043B\u0443\u0447\u0438 \u0432\u043E \u0440\u0435\u0434\u043E\u0441\u043B\u0435\u0434\u043E\u0442 \u043D\u0430 \u0458\u0430\u0437\u0438\u0447\u0438\u045A\u0430"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathMenu.js"); diff --git a/localization/mk/TeX.js b/localization/mk/TeX.js index 69a88db278..bc8f754d17 100644 --- a/localization/mk/TeX.js +++ b/localization/mk/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430",MissingLeftExtraRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\right\u201C",MissingScript:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043B\u0438 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\right\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\left\u201C",Misplaced:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",AmbiguousUseOf:"\u041D\u0435\u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u0431\u0440\u0448\u0438 \u0441\u043E \\end{%2}",EnvMissingEnd:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043A\u0443\u0442\u0438\u0458\u043A\u0430 \u0437\u0430 %1",MissingCloseBrace:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430",UndefinedControlSequence:"\u041D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430 %1",DoubleExponent:"\u0414\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleExponentPrime:"\u041F\u0440\u0438\u043C\u043E\u0442 \u043F\u0440\u0430\u0432\u0438 \u0434\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043B\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438\u0442\u0435 \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440\u0441\u043A\u0438\u043E\u0442 \u0437\u043D\u0430\u043A \u201E#\u201C \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u201E\\right\u201C",MisplacedLimits:"%1 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0441\u0430\u043C\u043E \u0437\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u0441\u0430\u043C\u043E \u0432\u043E \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"%1 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0446\u0435\u043B \u0431\u0440\u043E\u0458",NotMathMLToken:"%1 \u043D\u0435 \u0435 \u0448\u0438\u0444\u0440\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 MathML-\u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u043F\u0440\u0438\u0437\u043D\u0430\u0435\u043D \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0437\u0430 %2",MaxMacroSub1:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0430\u0442\u0430?",MaxMacroSub2:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0430\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u0430 LaTeX-\u043E\u043A\u043E\u043B\u0438\u043D\u0430?",MissingArgFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u0435\u043D \u0437\u043D\u0430\u043A \u0437\u0430 \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442 \u043D\u0430 \u201E\\cases\u201C",BracketMustBeDimension:"\u0417\u0430\u0433\u0440\u0430\u0434\u0435\u043D\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430",InvalidEnv:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u201E%1\u201C",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430 \u201E%1\u201C",ExtraCloseLooking:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0432\u043E \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0432\u043E %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0435\u043D \u0438\u043B\u0438 \u043D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0438\u043B\u0438 \u043D\u0435\u0458\u0437\u0438\u043D\u0438 \u0435\u0434\u0438\u043D\u0438\u0446\u0438 \u0437\u0430 %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C %1 \u0437\u0430 %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430 \u043D\u0435 \u0435 \u0437\u0430\u0432\u0440\u0448\u0435\u043D\u0430 \u0432\u043E \u043F\u043E\u043B\u0435\u0442\u043E \u0437\u0430 \u0442\u0435\u043A\u0441\u0442",IllegalMacroParam:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440",MaxBufferSize:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442\u0430 \u0435 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u0432\u043D\u0430\u0442\u0440\u0435\u0448\u043D\u0438\u043E\u0442 \u043C\u0435\u0453\u0443\u0441\u043A\u043B\u0430\u0434 \u043D\u0430 MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043C\u0430\u043A\u0440\u043E\u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0432\u043E \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %2",MultipleLabel:"\u041D\u0430\u0442\u043F\u0438\u0441\u043E\u0442 \u201E%1\u201C \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",CommandAtTheBeginingOfLine:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0434\u043E\u0458\u0434\u0435 \u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043E\u043A\u043E\u0442 \u043E\u0434 \u0440\u0435\u0434\u043E\u0442",IllegalAlign:"\u0423\u043A\u0430\u0436\u0430\u043D\u043E \u0435 \u043D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D\u043E \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E %1",BadMathStyleFor:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u0442\u0438\u043B \u0437\u0430 %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0437\u0438\u0442\u0438\u0432\u0435\u043D \u0446\u0435\u043B \u0431\u0440\u043E\u0458",ErroneousNestingEq:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0432\u043C\u0435\u0442\u043D\u0430\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u0441\u043A\u0438 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u0438",MultlineRowsOneCol:"\u0420\u0435\u0434\u043E\u0432\u0438\u0442\u0435 \u0432\u043E \u0441\u043E\u0441\u0442\u0430\u0432 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u0442\u043E\u0447\u043D\u043E \u043F\u043E \u0435\u0434\u043D\u0430 \u043A\u043E\u043B\u043E\u043D\u0430",MultipleBBoxProperty:"%1 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D\u043E \u0434\u0432\u0430\u043F\u0430\u0442\u0438 \u0432\u043E %2",InvalidBBoxProperty:"\u201E%1\u201C \u043D\u0435 \u0435 \u0431\u043E\u0458\u0430, \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0437\u0430 \u0441\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u0438\u043B\u0438 \u0441\u0442\u0438\u043B",ExtraEndMissingBegin:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u043E %1 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u043E \u043E\u0434 \u201E\\let\u201C, \u201E\\def\u201C \u0438\u043B\u0438 \u201E\\newcommand\u201C",UndefinedColorModel:"\u0411\u043E\u0458\u043D\u0438\u043E\u0442 \u043C\u043E\u0434\u0435\u043B \u201E%1\u201C \u043D\u0435 \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D",ModelArg1:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u043F\u043E \u0442\u0440\u0438 \u0431\u0440\u043E\u0458\u043A\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0434\u0435\u0446\u0438\u043C\u0430\u043B\u0435\u043D \u0431\u0440\u043E\u0458",ModelArg2:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u043F\u043E\u043C\u0435\u0453\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0431\u0440\u043E\u0458",NewextarrowArg1:"\u041F\u0440\u0432\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0435\u043D\u0443\u0432\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043E\u0441\u0442\u043E\u0438 \u043E\u0434 \u0434\u0432\u0430 \u0446\u0435\u043B\u0438 \u0431\u0440\u043E\u0458\u0430 \u043E\u0434\u0434\u0435\u043B\u0435\u043D\u0438 \u0441\u043E \u0437\u0430\u043F\u0438\u0440\u043A\u0430",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u0435\u043D \u0431\u0440\u043E\u0435\u043D \u0437\u043D\u0430\u043A",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E %1",IllegalControlSequenceName:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430\u0442\u0430 \u043D\u0438\u0437\u0430 \u0437\u0430 %1",IllegalParamNumber:"\u041D\u0430 %1 \u043C\u0443 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D \u043D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438",MissingCS:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0435 \u043F\u0440\u043E\u0441\u043B\u0435\u0434\u0435\u043D \u043E\u0434 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u201E#\u201C \u0432\u043E \u0448\u0430\u0431\u043B\u043E\u043D\u043E\u0442 \u0437\u0430 %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0442\u0435 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043D\u0443\u043C\u0435\u0440\u0438\u0440\u0430\u043D\u0438 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E",MissingReplacementString:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u043C\u0435\u043D\u0430 \u0437\u0430 \u043D\u0438\u0437\u0430\u0442\u0430 \u0432\u043E \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E \u043D\u0430 %1",MismatchUseDef:"\u0423\u043F\u043E\u0442\u0440\u0435\u0431\u0430\u0442\u0430 \u043D\u0430 %1 \u043D\u0435 \u043E\u0434\u0433\u043E\u0432\u0430\u0440\u0430 \u043D\u0430 \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E",RunawayArgument:"\u041D\u0435\u0441\u043A\u043B\u0430\u0434\u0435\u043D \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1?",NoClosingDelim:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u0438\u043E\u0442 \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/TeX.js"); +MathJax.Localization.addTranslation("mk","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430",MissingLeftExtraRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\right\u201C",MissingScript:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043B\u0438 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\right\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\left\u201C",Misplaced:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",AmbiguousUseOf:"\u041D\u0435\u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u0431\u0440\u0448\u0438 \u0441\u043E \\end{%2}",EnvMissingEnd:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043A\u0443\u0442\u0438\u0458\u043A\u0430 \u0437\u0430 %1",MissingCloseBrace:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430",UndefinedControlSequence:"\u041D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430 %1",DoubleExponent:"\u0414\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleExponentPrime:"\u041F\u0440\u0438\u043C\u043E\u0442 \u043F\u0440\u0430\u0432\u0438 \u0434\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043B\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438\u0442\u0435 \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440\u0441\u043A\u0438\u043E\u0442 \u0437\u043D\u0430\u043A \u201E#\u201C \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u201E\\right\u201C",MisplacedLimits:"%1 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0441\u0430\u043C\u043E \u0437\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u0441\u0430\u043C\u043E \u0432\u043E \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"%1 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0446\u0435\u043B \u0431\u0440\u043E\u0458",NotMathMLToken:"%1 \u043D\u0435 \u0435 \u0448\u0438\u0444\u0440\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 MathML-\u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u043F\u0440\u0438\u0437\u043D\u0430\u0435\u043D \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0437\u0430 %2",MaxMacroSub1:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0430\u0442\u0430?",MaxMacroSub2:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0430\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u0430 LaTeX-\u043E\u043A\u043E\u043B\u0438\u043D\u0430?",MissingArgFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u0435\u043D \u0437\u043D\u0430\u043A \u0437\u0430 \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442 \u043D\u0430 \u201E\\cases\u201C",BracketMustBeDimension:"\u0417\u0430\u0433\u0440\u0430\u0434\u0435\u043D\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430",InvalidEnv:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u201E%1\u201C",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430 \u201E%1\u201C",ExtraCloseLooking:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0432\u043E \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0432\u043E %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0435\u043D \u0438\u043B\u0438 \u043D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0438\u043B\u0438 \u043D\u0435\u0458\u0437\u0438\u043D\u0438 \u0435\u0434\u0438\u043D\u0438\u0446\u0438 \u0437\u0430 %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C %1 \u0437\u0430 %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430 \u043D\u0435 \u0435 \u0437\u0430\u0432\u0440\u0448\u0435\u043D\u0430 \u0432\u043E \u043F\u043E\u043B\u0435\u0442\u043E \u0437\u0430 \u0442\u0435\u043A\u0441\u0442",IllegalMacroParam:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440",MaxBufferSize:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442\u0430 \u0435 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u0432\u043D\u0430\u0442\u0440\u0435\u0448\u043D\u0438\u043E\u0442 \u043C\u0435\u0453\u0443\u0441\u043A\u043B\u0430\u0434 \u043D\u0430 MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043C\u0430\u043A\u0440\u043E\u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0432\u043E \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %2",MultipleLabel:"\u041D\u0430\u0442\u043F\u0438\u0441\u043E\u0442 \u201E%1\u201C \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",CommandAtTheBeginingOfLine:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0434\u043E\u0458\u0434\u0435 \u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043E\u043A\u043E\u0442 \u043E\u0434 \u0440\u0435\u0434\u043E\u0442",IllegalAlign:"\u0423\u043A\u0430\u0436\u0430\u043D\u043E \u0435 \u043D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D\u043E \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E %1",BadMathStyleFor:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u0442\u0438\u043B \u0437\u0430 %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0437\u0438\u0442\u0438\u0432\u0435\u043D \u0446\u0435\u043B \u0431\u0440\u043E\u0458",ErroneousNestingEq:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0432\u043C\u0435\u0442\u043D\u0430\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u0441\u043A\u0438 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u0438",MultlineRowsOneCol:"\u0420\u0435\u0434\u043E\u0432\u0438\u0442\u0435 \u0432\u043E \u0441\u043E\u0441\u0442\u0430\u0432 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u0442\u043E\u0447\u043D\u043E \u043F\u043E \u0435\u0434\u043D\u0430 \u043A\u043E\u043B\u043E\u043D\u0430",MultipleBBoxProperty:"%1 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D\u043E \u0434\u0432\u0430\u043F\u0430\u0442\u0438 \u0432\u043E %2",InvalidBBoxProperty:"\u201E%1\u201C \u043D\u0435 \u0435 \u0431\u043E\u0458\u0430, \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0437\u0430 \u0441\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u0438\u043B\u0438 \u0441\u0442\u0438\u043B",ExtraEndMissingBegin:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u043E %1 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u043E \u043E\u0434 \u201E\\let\u201C, \u201E\\def\u201C \u0438\u043B\u0438 \u201E\\newcommand\u201C",UndefinedColorModel:"\u0411\u043E\u0458\u043D\u0438\u043E\u0442 \u043C\u043E\u0434\u0435\u043B \u201E%1\u201C \u043D\u0435 \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D",ModelArg1:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u043F\u043E \u0442\u0440\u0438 \u0431\u0440\u043E\u0458\u043A\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0434\u0435\u0446\u0438\u043C\u0430\u043B\u0435\u043D \u0431\u0440\u043E\u0458",ModelArg2:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u043F\u043E\u043C\u0435\u0453\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0431\u0440\u043E\u0458",NewextarrowArg1:"\u041F\u0440\u0432\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0435\u043D\u0443\u0432\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043E\u0441\u0442\u043E\u0438 \u043E\u0434 \u0434\u0432\u0430 \u0446\u0435\u043B\u0438 \u0431\u0440\u043E\u0458\u0430 \u043E\u0434\u0434\u0435\u043B\u0435\u043D\u0438 \u0441\u043E \u0437\u0430\u043F\u0438\u0440\u043A\u0430",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u0435\u043D \u0431\u0440\u043E\u0435\u043D \u0437\u043D\u0430\u043A",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E %1",IllegalControlSequenceName:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430\u0442\u0430 \u043D\u0438\u0437\u0430 \u0437\u0430 %1",IllegalParamNumber:"\u041D\u0430 %1 \u043C\u0443 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D \u043D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438",MissingCS:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0435 \u043F\u0440\u043E\u0441\u043B\u0435\u0434\u0435\u043D \u043E\u0434 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u201E#\u201C \u0432\u043E \u0448\u0430\u0431\u043B\u043E\u043D\u043E\u0442 \u0437\u0430 %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0442\u0435 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043D\u0443\u043C\u0435\u0440\u0438\u0440\u0430\u043D\u0438 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E",MissingReplacementString:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u043C\u0435\u043D\u0430 \u0437\u0430 \u043D\u0438\u0437\u0430\u0442\u0430 \u0432\u043E \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E \u043D\u0430 %1",MismatchUseDef:"\u0423\u043F\u043E\u0442\u0440\u0435\u0431\u0430\u0442\u0430 \u043D\u0430 %1 \u043D\u0435 \u043E\u0434\u0433\u043E\u0432\u0430\u0440\u0430 \u043D\u0430 \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E",RunawayArgument:"\u041D\u0435\u0441\u043A\u043B\u0430\u0434\u0435\u043D \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1?",NoClosingDelim:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u0438\u043E\u0442 \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/TeX.js"); diff --git a/localization/mk/mk.js b/localization/mk/mk.js index 9d2bdc1e6b..415871d68d 100644 --- a/localization/mk/mk.js +++ b/localization/mk/mk.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("mk",null,{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C %1",Loading:"\u0412\u0447\u0438\u0442\u0443\u0432\u0430\u043C",LoadFailed:"\u041F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430\u0442\u0430 \u043D\u0435 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u0443\u0432\u0430\u043C",TypesetMath:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442: %1%%",Typesetting:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u043C \u0438\u0441\u043F\u0438\u0441",MathJaxNotSupported:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u043E \u043F\u043E\u0434\u0434\u0440\u0436\u0443\u0432\u0430 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u0438 \u0437\u0430 \u0438\u0441\u043F\u0440\u0430\u0432\u0430\u045A\u0435 \u0433\u0440\u0435\u0448\u043A\u0438: \u043A\u043E\u0440\u0438\u0441\u0442\u0435\u0442\u0435 %%1, \u043F\u0440\u0435\u0433\u043B\u0435\u0434\u0430\u0458\u0442\u0435 \u0433\u043E %%2 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043A\u0430\u0442\u0430 \u043A\u043E\u043D\u0437\u043E\u043B\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a!==11){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/mk.js"); +MathJax.Localization.addTranslation("mk",null,{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C %1",Loading:"\u0412\u0447\u0438\u0442\u0443\u0432\u0430\u043C",LoadFailed:"\u041F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430\u0442\u0430 \u043D\u0435 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u0443\u0432\u0430\u043C",TypesetMath:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442: %1%%",Typesetting:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u043C \u0438\u0441\u043F\u0438\u0441",MathJaxNotSupported:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u043E \u043F\u043E\u0434\u0434\u0440\u0436\u0443\u0432\u0430 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u0438 \u0437\u0430 \u0438\u0441\u043F\u0440\u0430\u0432\u0430\u045A\u0435 \u0433\u0440\u0435\u0448\u043A\u0438: \u043A\u043E\u0440\u0438\u0441\u0442\u0435\u0442\u0435 %%1, \u043F\u0440\u0435\u0433\u043B\u0435\u0434\u0430\u0458\u0442\u0435 \u0433\u043E %%2 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043A\u0430\u0442\u0430 \u043A\u043E\u043D\u0437\u043E\u043B\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a!==11){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/mk.js"); diff --git a/localization/nl/FontWarnings.js b/localization/nl/FontWarnings.js index 000c7220d4..83783acc91 100644 --- a/localization/nl/FontWarnings.js +++ b/localization/nl/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",imageFonts:"MathJax gebruikt zijn beeldlettertypes en niet zijn lokale of webgebaseerde lettertypes. Dit geeft een tragere weergave dan normaal en de wiskunde wordt wellicht niet op de hoogste resolutie van uw printer afgedrukt.",noFonts:"MathJax is niet in staat een lettertype te vinden waarmee het zijn wiskunde kan weergeven, en beeld-lettertypes zijn niet beschikbaar, dus valt het nu terug op generieke Unicodetekens in de hoop dat uw browsers in staat is ze weer te geven. Sommige tekens worden wellicht niet goed weergegeven en mogelijkerwijs helemaal niet.",webFonts:"De meeste moderne browsers kunnen lettertypes via het web downloaden. Updaten naar een recentere versie van uw browser (of een andere browser gaan gebruiken) zou de kwaliteit van de wiskunde op deze pagina kunnen verbeteren.",fonts:"MathJax kan de [STIX fonts](%1) \u00F3f de [MathJax TeX fonts](%2) gebruiken. Download en installeer een van deze lettertypes om uw MathJax ervaring te verbeteren.",STIXPage:"Deze pagina is ontworpen om de [STIX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren.",TeXPage:"Deze pagina is ontworpen om de [MathJax TeX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/FontWarnings.js"); +MathJax.Localization.addTranslation("nl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",imageFonts:"MathJax gebruikt zijn beeldlettertypes en niet zijn lokale of webgebaseerde lettertypes. Dit geeft een tragere weergave dan normaal en de wiskunde wordt wellicht niet op de hoogste resolutie van uw printer afgedrukt.",noFonts:"MathJax is niet in staat een lettertype te vinden waarmee het zijn wiskunde kan weergeven, en beeld-lettertypes zijn niet beschikbaar, dus valt het nu terug op generieke Unicodetekens in de hoop dat uw browsers in staat is ze weer te geven. Sommige tekens worden wellicht niet goed weergegeven en mogelijkerwijs helemaal niet.",webFonts:"De meeste moderne browsers kunnen lettertypes via het web downloaden. Updaten naar een recentere versie van uw browser (of een andere browser gaan gebruiken) zou de kwaliteit van de wiskunde op deze pagina kunnen verbeteren.",fonts:"MathJax kan de [STIX fonts](%1) \u00F3f de [MathJax TeX fonts](%2) gebruiken. Download en installeer een van deze lettertypes om uw MathJax ervaring te verbeteren.",STIXPage:"Deze pagina is ontworpen om de [STIX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren.",TeXPage:"Deze pagina is ontworpen om de [MathJax TeX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/FontWarnings.js"); diff --git a/localization/nl/HTML-CSS.js b/localization/nl/HTML-CSS.js index 1d0d4c3136..a774fc7ed5 100644 --- a/localization/nl/HTML-CSS.js +++ b/localization/nl/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"Weblettertype %1 aan het laden",CantLoadWebFont:"Het weblettertype %1 kan niet geladen worden.",FirefoxCantLoadWebFont:"Firefox kan geen web-lettertypes laden van een externe host",CantFindFontUsing:"Kan met gebruik van %1 geen geldig lettertype vinden",WebFontsNotAvailable:"Weblettertypes zijn niet beschikbaar. In plaats daarvan worden afbeeldingslettertypes gebruikt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HTML-CSS.js"); +MathJax.Localization.addTranslation("nl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Weblettertype %1 aan het laden",CantLoadWebFont:"Het weblettertype %1 kan niet geladen worden.",FirefoxCantLoadWebFont:"Firefox kan geen web-lettertypes laden van een externe host",CantFindFontUsing:"Kan met gebruik van %1 geen geldig lettertype vinden",WebFontsNotAvailable:"Weblettertypes zijn niet beschikbaar. In plaats daarvan worden afbeeldingslettertypes gebruikt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HTML-CSS.js"); diff --git a/localization/nl/HelpDialog.js b/localization/nl/HelpDialog.js index 1f7650dd4b..f461ca9a82 100644 --- a/localization/nl/HelpDialog.js +++ b/localization/nl/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"MathJax-hulp",MathJax:"*MathJax* is een JavaScript bibliotheek die het mogelijk maakt dat auteurs wiskunde kunnen toevoegen aan hun web-pagina's. Als een lezer hoeft u niks te doen om dat mogelijk te maken.",Browsers:"*Browsers*: MathJax werkt met alle moderne browsers, inclusief IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ en de meeste mobiele browsers.",Menu:"*Math menu*:MathJax voegt een context menu toe aan vergelijkingen. Rechtsklik of Ctrl-klik op willekeurige wiskunde om het menu weer te geven.",ShowMath:"*Wiskunde weergeven als* geeft de formule in bron opmaak weer voor knippen en plakken (als MathML of in de originele opmaak).",Settings:"Via *Instellingen* kunt u de functionaliteit van MathJax beheersen, zoals de grootte van de wiskunde en het mechanisme dat gebruikt wordt om vergelijkingen weer te geven.",Language:"Via *Taal* kunt u de taal kiezen die MathJax gebruikt voor de menu's en waarschuwingsboodschappen.",Zoom:"*Wiskunde zoom*: Als u moeite heeft met het lezen van een vergelijking dan kan MathJax deze vergroten zodat u het beter kunt zien.",Accessibilty:"*Toegankelijkheid*: MathJax werkt automatisch samen met schermlezers waardoor wiskunde toegankelijk wordt voor slechtzienden.",Fonts:"*Lettertypes*: MathJax gebruikt bepaalde wiskunde lettertypes als die ge\u00EFnstalleerd zijn op uw computer; anders gebruikt het webgebaseerde lettertypes. Alhoewel het niet noodzakelijk is, versnellen lokaal ge\u00EFnstalleerde lettertypes het zetwerk. We raden aan om de [STIX fonts](%1) te installeren.",CloseDialog:"Hulpvenster sluiten"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HelpDialog.js"); +MathJax.Localization.addTranslation("nl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax-hulp",MathJax:"*MathJax* is een JavaScript bibliotheek die het mogelijk maakt dat auteurs wiskunde kunnen toevoegen aan hun web-pagina's. Als een lezer hoeft u niks te doen om dat mogelijk te maken.",Browsers:"*Browsers*: MathJax werkt met alle moderne browsers, inclusief IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ en de meeste mobiele browsers.",Menu:"*Math menu*:MathJax voegt een context menu toe aan vergelijkingen. Rechtsklik of Ctrl-klik op willekeurige wiskunde om het menu weer te geven.",ShowMath:"*Wiskunde weergeven als* geeft de formule in bron opmaak weer voor knippen en plakken (als MathML of in de originele opmaak).",Settings:"Via *Instellingen* kunt u de functionaliteit van MathJax beheersen, zoals de grootte van de wiskunde en het mechanisme dat gebruikt wordt om vergelijkingen weer te geven.",Language:"Via *Taal* kunt u de taal kiezen die MathJax gebruikt voor de menu's en waarschuwingsboodschappen.",Zoom:"*Wiskunde zoom*: Als u moeite heeft met het lezen van een vergelijking dan kan MathJax deze vergroten zodat u het beter kunt zien.",Accessibilty:"*Toegankelijkheid*: MathJax werkt automatisch samen met schermlezers waardoor wiskunde toegankelijk wordt voor slechtzienden.",Fonts:"*Lettertypes*: MathJax gebruikt bepaalde wiskunde lettertypes als die ge\u00EFnstalleerd zijn op uw computer; anders gebruikt het webgebaseerde lettertypes. Alhoewel het niet noodzakelijk is, versnellen lokaal ge\u00EFnstalleerde lettertypes het zetwerk. We raden aan om de [STIX fonts](%1) te installeren.",CloseDialog:"Hulpvenster sluiten"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HelpDialog.js"); diff --git a/localization/nl/MathML.js b/localization/nl/MathML.js index 83fc92bad3..c1942f06f7 100644 --- a/localization/nl/MathML.js +++ b/localization/nl/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"Onjuiste mglyph: %1",BadMglyphFont:"Verkeerd lettertype: %1",MathPlayer:'MathJax was niet in staat MathPlayer in te stellen.\n\nAls MathPlay niet ge\u00EFnstalleerd is, doe dat dan eerst.\nAnders kan het zijn dat beveiligingsinstellingen de uitvoering van ActiveX-besturingselementen verhinderen. Gebruik de keuze Internet Opties in het menu Extra en selecteer het tabblad Beveiligingsinstellingen en druk op de knop Aangepaste niveau.\nControleer dat de instellingen voor "Uitvoeren van ActiveX-besturingselementen" en "Gedrag van binaire elementen en scripts" ingeschakeld zijn.\n\nMomenteel zie u foutmeldingen in plaats van opgemaakte wiskunde.',CantCreateXMLParser:'MathJax kan geen XML-verwerker cre\u00EBren voor MathML. Controleer of de beveiligingsinstelling "ActiveX-besturingselementen die zijn gemarkeerd als veilig voor uitvoeren in scripts" is ingeschakeld. Gebruik de keuze Internet Opties in het menu Extra en selecteer het paneel Beveiliging, druk dan op de knop Aangepast niveau om dit te controleren.\n\nMathML-vergelijkingen kunnen niet verwerkt worden door MathJax.',UnknownNodeType:"Onbekend knooptype: %1",UnexpectedTextNode:"Onverwachte tekstknoop: %1",ErrorParsingMathML:"Fout tijdens verwerken MathML",ParsingError:"Fout tijdens verwerken MathML: %1",MathMLSingleElement:"MathML moet bestaan uit \u00E9\u00E9n element",MathMLRootElement:"MathML moet bestaan uit een \u003Cmath\u003E element, niet %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathML.js"); +MathJax.Localization.addTranslation("nl","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Onjuiste mglyph: %1",BadMglyphFont:"Verkeerd lettertype: %1",MathPlayer:'MathJax was niet in staat MathPlayer in te stellen.\n\nAls MathPlay niet ge\u00EFnstalleerd is, doe dat dan eerst.\nAnders kan het zijn dat beveiligingsinstellingen de uitvoering van ActiveX-besturingselementen verhinderen. Gebruik de keuze Internet Opties in het menu Extra en selecteer het tabblad Beveiligingsinstellingen en druk op de knop Aangepaste niveau.\nControleer dat de instellingen voor "Uitvoeren van ActiveX-besturingselementen" en "Gedrag van binaire elementen en scripts" ingeschakeld zijn.\n\nMomenteel zie u foutmeldingen in plaats van opgemaakte wiskunde.',CantCreateXMLParser:'MathJax kan geen XML-verwerker cre\u00EBren voor MathML. Controleer of de beveiligingsinstelling "ActiveX-besturingselementen die zijn gemarkeerd als veilig voor uitvoeren in scripts" is ingeschakeld. Gebruik de keuze Internet Opties in het menu Extra en selecteer het paneel Beveiliging, druk dan op de knop Aangepast niveau om dit te controleren.\n\nMathML-vergelijkingen kunnen niet verwerkt worden door MathJax.',UnknownNodeType:"Onbekend knooptype: %1",UnexpectedTextNode:"Onverwachte tekstknoop: %1",ErrorParsingMathML:"Fout tijdens verwerken MathML",ParsingError:"Fout tijdens verwerken MathML: %1",MathMLSingleElement:"MathML moet bestaan uit \u00E9\u00E9n element",MathMLRootElement:"MathML moet bestaan uit een \u003Cmath\u003E element, niet %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathML.js"); diff --git a/localization/nl/MathMenu.js b/localization/nl/MathMenu.js index f49997f199..508cdd8cb4 100644 --- a/localization/nl/MathMenu.js +++ b/localization/nl/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Wiskunde weergeven als",MathMLcode:"MathML-code",OriginalMathML:"Oorspronkelijke MathML",TeXCommands:"TeX-commando's",AsciiMathInput:"AsciiMathML-invoer",Original:"Oorspronkelijke vorm",ErrorMessage:"Foutmelding",Annotation:"Annotatie",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Inhoud MathML",OpenMath:"OpenMath",texHints:"TeX-hints weergeven in MathML",Settings:"Instellingen voor wiskundige formules",ZoomTrigger:"Inzoomen als",Hover:"Aanwijseffect",Click:"Klik",DoubleClick:"Dubbelklik",NoZoom:"Niet zoomen",TriggerRequires:"Trigger vereist:",Option:"Optie",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoomfactor",Renderer:"Mathverwerking",MPHandles:"MathPlayer de volgende gebeurtenissen laten afhandelen:",MenuEvents:"Menugebeurtenissen",MouseEvents:"Muisgebeurtenissen",MenuAndMouse:"Muis- en menugebeurtenissen",FontPrefs:"Lettertypevoorkeuren",ForHTMLCSS:"Voor HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (lokaal)",TeXWeb:"TeX (web)",TeXImage:"TeX (afbeelding)",STIXLocal:"STIX (lokaal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextueel menu",Browser:"Browser",Scale:"Alle wiskunde schalen als ...",Discoverable:"Uitlichten bij aanwijzen",Locale:"Taal",LoadLocale:"Laden van URL ...",About:"Over MathJax",Help:"MathJax-hulp",localTeXfonts:"met behulp van lokale TeX-lettertypen",webTeXfonts:"met behulp van weblettertype TeX",imagefonts:"met behulp van afbeeldingslettertypes",localSTIXfonts:"met behulp van lokale STIX-lettertypes",webSVGfonts:"met behulp van SVG-weblettertypen",genericfonts:"met behulp van standaard Unicodelettertypen",wofforotffonts:"WOFF- of OTF-lettertypen",eotffonts:"EOT-lettertypen",svgfonts:"SVG-lettertypen",WebkitNativeMMLWarning:"Uw browser lijkt MathML niet te ondersteunen. Door te kiezen voor MathML-uitvoer kunnen de wiskundige formules op de pagina onleesbaar worden.",MSIENativeMMLWarning:"Internet Explorer vereist de MathPlayer plug-in om MathML-uitvoer te verwerken",OperaNativeMMLWarning:"De ondersteuning voor MathML in Opera is beperkt, dus als u overschakelt naar weergave via MathML kunnen sommige expressies slecht worden weergegeven.",SafariNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",FirefoxNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",MSIESVGWarning:"SVG is niet ge\u00EFmplementeerd in Internet Explorer versies v\u00F3\u00F3r IE9 en ook niet wanneer het IE8 of lager emuleert. Kiezen voor SVG-uitvoer veroorzaakt onjuiste weergave van de wiskundige formules.",LoadURL:"Vertalingsdata van deze URL laden:",BadURL:'De URL moet naar een JavaScriptbestand wijzen waarin vertaalgegevens voor MathJax staan. De naam van het JavaScriptbestand moet eindigen op ".js".',BadData:"Vertalingsdata laden van %1 niet gelukt",SwitchAnyway:"Evengoed de weergever wijzigen?\n\nDruk op OK om te wijzigen, ANNULEREN om door te gaan met de huidige wijze van weergeven.",ScaleMath:"Alle wiskundige formules schalen (in vergelijking tot de omliggende tekst) met",NonZeroScale:"De schaal hoort geen nul te zijn",PercentScale:"De schaal moet een percentage zijn (bijvoorbeeld 120%%)",IE8warning:"Hierdoor wordt het MathJaxmenu en zoomfuncties uitgeschakeld, maar u kunt via Alt-klik op een expressie het MathJamenu weergeven.\n\nWilt u inderdaad de instellingen van MathPlayer wijzigen?",IE9warning:"Het context menu van MathJax wordt uitgeschakeld, maar u kunt in plaats daarvan door Alt-klikken op een expressie het MathJax menu weergeven.",NoOriginalForm:"Geen oorspronkelijke vorm beschikbaar",Close:"Sluiten",EqSource:"MathJax Vergelijking Bron",CloseAboutDialog:"Over Mathjax sluiten",FastPreview:"Snell voorvertoning",AssistiveMML:"Assistieve MathML",InTabOrder:"Opnemen in tabvolgorde"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathMenu.js"); +MathJax.Localization.addTranslation("nl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Wiskunde weergeven als",MathMLcode:"MathML-code",OriginalMathML:"Oorspronkelijke MathML",TeXCommands:"TeX-commando's",AsciiMathInput:"AsciiMathML-invoer",Original:"Oorspronkelijke vorm",ErrorMessage:"Foutmelding",Annotation:"Annotatie",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Inhoud MathML",OpenMath:"OpenMath",texHints:"TeX-hints weergeven in MathML",Settings:"Instellingen voor wiskundige formules",ZoomTrigger:"Inzoomen als",Hover:"Aanwijseffect",Click:"Klik",DoubleClick:"Dubbelklik",NoZoom:"Niet zoomen",TriggerRequires:"Trigger vereist:",Option:"Optie",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoomfactor",Renderer:"Mathverwerking",MPHandles:"MathPlayer de volgende gebeurtenissen laten afhandelen:",MenuEvents:"Menugebeurtenissen",MouseEvents:"Muisgebeurtenissen",MenuAndMouse:"Muis- en menugebeurtenissen",FontPrefs:"Lettertypevoorkeuren",ForHTMLCSS:"Voor HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (lokaal)",TeXWeb:"TeX (web)",TeXImage:"TeX (afbeelding)",STIXLocal:"STIX (lokaal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextueel menu",Browser:"Browser",Scale:"Alle wiskunde schalen als ...",Discoverable:"Uitlichten bij aanwijzen",Locale:"Taal",LoadLocale:"Laden van URL ...",About:"Over MathJax",Help:"MathJax-hulp",localTeXfonts:"met behulp van lokale TeX-lettertypen",webTeXfonts:"met behulp van weblettertype TeX",imagefonts:"met behulp van afbeeldingslettertypes",localSTIXfonts:"met behulp van lokale STIX-lettertypes",webSVGfonts:"met behulp van SVG-weblettertypen",genericfonts:"met behulp van standaard Unicodelettertypen",wofforotffonts:"WOFF- of OTF-lettertypen",eotffonts:"EOT-lettertypen",svgfonts:"SVG-lettertypen",WebkitNativeMMLWarning:"Uw browser lijkt MathML niet te ondersteunen. Door te kiezen voor MathML-uitvoer kunnen de wiskundige formules op de pagina onleesbaar worden.",MSIENativeMMLWarning:"Internet Explorer vereist de MathPlayer plug-in om MathML-uitvoer te verwerken",OperaNativeMMLWarning:"De ondersteuning voor MathML in Opera is beperkt, dus als u overschakelt naar weergave via MathML kunnen sommige expressies slecht worden weergegeven.",SafariNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",FirefoxNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",MSIESVGWarning:"SVG is niet ge\u00EFmplementeerd in Internet Explorer versies v\u00F3\u00F3r IE9 en ook niet wanneer het IE8 of lager emuleert. Kiezen voor SVG-uitvoer veroorzaakt onjuiste weergave van de wiskundige formules.",LoadURL:"Vertalingsdata van deze URL laden:",BadURL:'De URL moet naar een JavaScriptbestand wijzen waarin vertaalgegevens voor MathJax staan. De naam van het JavaScriptbestand moet eindigen op ".js".',BadData:"Vertalingsdata laden van %1 niet gelukt",SwitchAnyway:"Evengoed de weergever wijzigen?\n\nDruk op OK om te wijzigen, ANNULEREN om door te gaan met de huidige wijze van weergeven.",ScaleMath:"Alle wiskundige formules schalen (in vergelijking tot de omliggende tekst) met",NonZeroScale:"De schaal hoort geen nul te zijn",PercentScale:"De schaal moet een percentage zijn (bijvoorbeeld 120%%)",IE8warning:"Hierdoor wordt het MathJaxmenu en zoomfuncties uitgeschakeld, maar u kunt via Alt-klik op een expressie het MathJamenu weergeven.\n\nWilt u inderdaad de instellingen van MathPlayer wijzigen?",IE9warning:"Het context menu van MathJax wordt uitgeschakeld, maar u kunt in plaats daarvan door Alt-klikken op een expressie het MathJax menu weergeven.",NoOriginalForm:"Geen oorspronkelijke vorm beschikbaar",Close:"Sluiten",EqSource:"MathJax Vergelijking Bron",CloseAboutDialog:"Over Mathjax sluiten",FastPreview:"Snell voorvertoning",AssistiveMML:"Assistieve MathML",InTabOrder:"Opnemen in tabvolgorde"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathMenu.js"); diff --git a/localization/nl/TeX.js b/localization/nl/TeX.js index d7b89757d7..dc0e6089d9 100644 --- a/localization/nl/TeX.js +++ b/localization/nl/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Overtollige openende accolade of ontbrekende afsluitende accolade",ExtraCloseMissingOpen:"Overtollige afsluitende accolade of ontbrekende openende accolade",MissingLeftExtraRight:"Ontbrekende \\left of overtollige \\right",MissingScript:"Ontbrekend superschrift- of subschriftargument",ExtraLeftMissingRight:"Overtollige \\left of ontbrekende \\right",Misplaced:"Onjuist geplaatste %1",MissingOpenForSub:"Ontbrekende openende accolade voor subschrift",MissingOpenForSup:"Ontbrekende openende accolade voor superschrift",AmbiguousUseOf:"Dubbelzinnig gebruik van %1",EnvBadEnd:"\\begin{%1} eindigde met \\end{%2}",EnvMissingEnd:"Ontbrekende \\end{%1}",MissingBoxFor:"Ontbrekende box voor %1",MissingCloseBrace:"Ontbrekende afsluitende accolade",UndefinedControlSequence:"Ongedefinieerde bewerkingsvolgorde %1",DoubleExponent:"Dubbele exponent: gebruik accolades om te verduidelijken",DoubleSubscripts:"Dubbele subschriften: gebruik accolades om te verduidelijken",DoubleExponentPrime:"Priem veroorzaakt een dubbele exponent: Gebruik accolades om te verduidelijken.",CantUseHash1:"U kunt 'macroparameterteken #' niet gebruiken in mathmodus",MisplacedMiddle:"%1 moet zich tussen \\left en \\right bevinden",MisplacedLimits:"%1 is alleen toegestaan op bewerkingstekens",MisplacedMoveRoot:"%1 kan alleen voorkomen in een root",MultipleCommand:"Meerdere %1",IntegerArg:"Het argument voor %1 moet een geheel getal zijn",NotMathMLToken:"%1 is geen symboolelement",InvalidMathMLAttr:"Ongeldige MathML-eigenschap: %1",UnknownAttrForElement:"%1 is geen bekende eigenschap voor %2",MaxMacroSub1:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve macro-aanroep?",MaxMacroSub2:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve LaTeX-omgeving?",MissingArgFor:"Ontbrekend argument voor %1",ExtraAlignTab:"Overtollige uitlijningtab in \\cases-tekst",BracketMustBeDimension:"Rechte haak argument voor %1 moet een dimensie zijn",InvalidEnv:'Ongeldige omgevingsnaam "%1"',UnknownEnv:'Onbekende omgeving "%1"',ExtraCloseLooking:"Overtollige afsluitende accolade terwijl gezocht wordt naar %1",MissingCloseBracket:"Kon afsluitende ']' niet vinden als argument voor %1",MissingOrUnrecognizedDelim:"Ontbrekend of onbekend scheidingsteken voor %1",MissingDimOrUnits:"Ontbrekende dimensie of zijn eenheden voor %1",TokenNotFoundForCommand:"Kon %1 niet vinden voor %2",MathNotTerminated:"Math niet afgerond in een tekstblok",IllegalMacroParam:"Niet toegestane macroparameterverwijzing",MaxBufferSize:"MathJax interne bufferomvang overschreden; is er een recursieve macro-aanroep?",CommandNotAllowedInEnv:"%1 niet toegestaan in de omgeving %2",MultipleLabel:'Label "%1" meerdere keren gedefinieerd',CommandAtTheBeginingOfLine:"%1 moet aan het begin van een regel staan",IllegalAlign:"Niet toegestane uitlijning gespecificeerd in %1",BadMathStyleFor:"Foute wiskundige stijl voor %1",PositiveIntegerArg:"Het argument voor %1 moet een positief geheel getal zijn",ErroneousNestingEq:"Foutief nesten van vergelijkingsstructuren",MultlineRowsOneCol:"De regels in de omgeving %1 moeten precies \u00E9\u00E9n kolom bevatten",MultipleBBoxProperty:"%1 twee keer gespecificeerd in %2",InvalidBBoxProperty:'"%1" lijkt niet op een kleur, een opvuldimensie of een stijl',ExtraEndMissingBegin:"Overtollige %1 of ontbrekende \\begingroup",GlobalNotFollowedBy:"%1 niet gevolgd door \\let, \\def of \\newcommand",UndefinedColorModel:'Kleurmodel "%1" niet gedefinieerd',ModelArg1:"Kleurwaardes voor het %1 model hebben 3 getallen nodig",InvalidDecimalNumber:"Ongeldig decimaal getal",ModelArg2:"Kleurwaardes voor het model %1 moeten tussen %2 en %3 liggen",InvalidNumber:"Ongeldig getal",NewextarrowArg1:"Eerste argument voor %1 moet een bewerkingsvolgorde naam zijn.",NewextarrowArg2:"Tweede argument voor %1 moet twee gehele getallen zijn, gescheiden door een komma",NewextarrowArg3:"Derde argument voor %1 moet een Unicodekarakternummer zijn",NoClosingChar:"Kan afsluitende %1 niet vinden",IllegalControlSequenceName:"Niet toegestane bewerkingsvolgordenaam voor %1",IllegalParamNumber:"Niet toegestane getallen of parameters gespecificeerd in %1",MissingCS:"%1 moet gevolgd worden door een bewerkingsvolgorde",CantUseHash2:"Niet toegestaan gebruik van # in een sjabloon voor %1",SequentialParam:"Parameters voor %1 moeten opeenvolgend genummerd zijn",MissingReplacementString:"Ontbrekende vervangende tekst voor definitie van %1",MismatchUseDef:"Gebruik van %1 stemt niet overeen met zijn definitie",RunawayArgument:"Ontsnapt argument voor %1?",NoClosingDelim:"Kan afsluitende scheidingsteken voor %1 niet vinden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/TeX.js"); +MathJax.Localization.addTranslation("nl","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Overtollige openende accolade of ontbrekende afsluitende accolade",ExtraCloseMissingOpen:"Overtollige afsluitende accolade of ontbrekende openende accolade",MissingLeftExtraRight:"Ontbrekende \\left of overtollige \\right",MissingScript:"Ontbrekend superschrift- of subschriftargument",ExtraLeftMissingRight:"Overtollige \\left of ontbrekende \\right",Misplaced:"Onjuist geplaatste %1",MissingOpenForSub:"Ontbrekende openende accolade voor subschrift",MissingOpenForSup:"Ontbrekende openende accolade voor superschrift",AmbiguousUseOf:"Dubbelzinnig gebruik van %1",EnvBadEnd:"\\begin{%1} eindigde met \\end{%2}",EnvMissingEnd:"Ontbrekende \\end{%1}",MissingBoxFor:"Ontbrekende box voor %1",MissingCloseBrace:"Ontbrekende afsluitende accolade",UndefinedControlSequence:"Ongedefinieerde bewerkingsvolgorde %1",DoubleExponent:"Dubbele exponent: gebruik accolades om te verduidelijken",DoubleSubscripts:"Dubbele subschriften: gebruik accolades om te verduidelijken",DoubleExponentPrime:"Priem veroorzaakt een dubbele exponent: Gebruik accolades om te verduidelijken.",CantUseHash1:"U kunt 'macroparameterteken #' niet gebruiken in mathmodus",MisplacedMiddle:"%1 moet zich tussen \\left en \\right bevinden",MisplacedLimits:"%1 is alleen toegestaan op bewerkingstekens",MisplacedMoveRoot:"%1 kan alleen voorkomen in een root",MultipleCommand:"Meerdere %1",IntegerArg:"Het argument voor %1 moet een geheel getal zijn",NotMathMLToken:"%1 is geen symboolelement",InvalidMathMLAttr:"Ongeldige MathML-eigenschap: %1",UnknownAttrForElement:"%1 is geen bekende eigenschap voor %2",MaxMacroSub1:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve macro-aanroep?",MaxMacroSub2:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve LaTeX-omgeving?",MissingArgFor:"Ontbrekend argument voor %1",ExtraAlignTab:"Overtollige uitlijningtab in \\cases-tekst",BracketMustBeDimension:"Rechte haak argument voor %1 moet een dimensie zijn",InvalidEnv:'Ongeldige omgevingsnaam "%1"',UnknownEnv:'Onbekende omgeving "%1"',ExtraCloseLooking:"Overtollige afsluitende accolade terwijl gezocht wordt naar %1",MissingCloseBracket:"Kon afsluitende ']' niet vinden als argument voor %1",MissingOrUnrecognizedDelim:"Ontbrekend of onbekend scheidingsteken voor %1",MissingDimOrUnits:"Ontbrekende dimensie of zijn eenheden voor %1",TokenNotFoundForCommand:"Kon %1 niet vinden voor %2",MathNotTerminated:"Math niet afgerond in een tekstblok",IllegalMacroParam:"Niet toegestane macroparameterverwijzing",MaxBufferSize:"MathJax interne bufferomvang overschreden; is er een recursieve macro-aanroep?",CommandNotAllowedInEnv:"%1 niet toegestaan in de omgeving %2",MultipleLabel:'Label "%1" meerdere keren gedefinieerd',CommandAtTheBeginingOfLine:"%1 moet aan het begin van een regel staan",IllegalAlign:"Niet toegestane uitlijning gespecificeerd in %1",BadMathStyleFor:"Foute wiskundige stijl voor %1",PositiveIntegerArg:"Het argument voor %1 moet een positief geheel getal zijn",ErroneousNestingEq:"Foutief nesten van vergelijkingsstructuren",MultlineRowsOneCol:"De regels in de omgeving %1 moeten precies \u00E9\u00E9n kolom bevatten",MultipleBBoxProperty:"%1 twee keer gespecificeerd in %2",InvalidBBoxProperty:'"%1" lijkt niet op een kleur, een opvuldimensie of een stijl',ExtraEndMissingBegin:"Overtollige %1 of ontbrekende \\begingroup",GlobalNotFollowedBy:"%1 niet gevolgd door \\let, \\def of \\newcommand",UndefinedColorModel:'Kleurmodel "%1" niet gedefinieerd',ModelArg1:"Kleurwaardes voor het %1 model hebben 3 getallen nodig",InvalidDecimalNumber:"Ongeldig decimaal getal",ModelArg2:"Kleurwaardes voor het model %1 moeten tussen %2 en %3 liggen",InvalidNumber:"Ongeldig getal",NewextarrowArg1:"Eerste argument voor %1 moet een bewerkingsvolgorde naam zijn.",NewextarrowArg2:"Tweede argument voor %1 moet twee gehele getallen zijn, gescheiden door een komma",NewextarrowArg3:"Derde argument voor %1 moet een Unicodekarakternummer zijn",NoClosingChar:"Kan afsluitende %1 niet vinden",IllegalControlSequenceName:"Niet toegestane bewerkingsvolgordenaam voor %1",IllegalParamNumber:"Niet toegestane getallen of parameters gespecificeerd in %1",MissingCS:"%1 moet gevolgd worden door een bewerkingsvolgorde",CantUseHash2:"Niet toegestaan gebruik van # in een sjabloon voor %1",SequentialParam:"Parameters voor %1 moeten opeenvolgend genummerd zijn",MissingReplacementString:"Ontbrekende vervangende tekst voor definitie van %1",MismatchUseDef:"Gebruik van %1 stemt niet overeen met zijn definitie",RunawayArgument:"Ontsnapt argument voor %1?",NoClosingDelim:"Kan afsluitende scheidingsteken voor %1 niet vinden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/TeX.js"); diff --git a/localization/nl/nl.js b/localization/nl/nl.js index 16b79bac0c..fea8c7fa15 100644 --- a/localization/nl/nl.js +++ b/localization/nl/nl.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("nl",null,{menuTitle:"Nederlands",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",MathProcessingError:"Mathverwerkingsfout",MathError:"Mathfout",LoadFile:"Bezig met laden van %1",Loading:"Bezig met laden",LoadFailed:"Het bestand kon niet geladen worden: %1",ProcessMath:"Berekening aan het verwerken: %1%%",Processing:"Bezig met verwerken",TypesetMath:"Berekening aan het opmaken: %1%%",Typesetting:"Opmaken",MathJaxNotSupported:"Uw browser ondersteunt MathJax niet",ErrorTips:"Debugtips: gebruik %%1, inspecteer %%2 in de console van de browser"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/nl.js"); +MathJax.Localization.addTranslation("nl",null,{menuTitle:"Nederlands",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",MathProcessingError:"Mathverwerkingsfout",MathError:"Mathfout",LoadFile:"Bezig met laden van %1",Loading:"Bezig met laden",LoadFailed:"Het bestand kon niet geladen worden: %1",ProcessMath:"Berekening aan het verwerken: %1%%",Processing:"Bezig met verwerken",TypesetMath:"Berekening aan het opmaken: %1%%",Typesetting:"Opmaken",MathJaxNotSupported:"Uw browser ondersteunt MathJax niet",ErrorTips:"Debugtips: gebruik %%1, inspecteer %%2 in de console van de browser"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/nl.js"); diff --git a/localization/oc/FontWarnings.js b/localization/oc/FontWarnings.js index 2384f82870..60ab6fcc9b 100644 --- a/localization/oc/FontWarnings.js +++ b/localization/oc/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/FontWarnings.js"); +MathJax.Localization.addTranslation("oc","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/FontWarnings.js"); diff --git a/localization/oc/HTML-CSS.js b/localization/oc/HTML-CSS.js index 988be3ff02..6d69a2251f 100644 --- a/localization/oc/HTML-CSS.js +++ b/localization/oc/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HTML-CSS.js"); +MathJax.Localization.addTranslation("oc","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HTML-CSS.js"); diff --git a/localization/oc/HelpDialog.js b/localization/oc/HelpDialog.js index 20442fcb3c..3f3833b2f2 100644 --- a/localization/oc/HelpDialog.js +++ b/localization/oc/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HelpDialog.js"); +MathJax.Localization.addTranslation("oc","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HelpDialog.js"); diff --git a/localization/oc/MathML.js b/localization/oc/MathML.js index d3b7c30d67..f1f3080be7 100644 --- a/localization/oc/MathML.js +++ b/localization/oc/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc","MathML",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathML.js"); +MathJax.Localization.addTranslation("oc","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathML.js"); diff --git a/localization/oc/MathMenu.js b/localization/oc/MathMenu.js index 62b3e84202..97a0505fb8 100644 --- a/localization/oc/MathMenu.js +++ b/localization/oc/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Afichar jos la forma",MathMLcode:"C\u00F2di MathML",OriginalMathML:"MathML d\u2019origina",TeXCommands:"Comandas TeX",AsciiMathInput:"entrada AsciiMathML",Original:"Format d'origina",ErrorMessage:"Messatge d\u2019error",Annotation:"Anotacion",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contengut",OpenMath:"OpenMath",texHints:"Afichar las ajudas TeX en MathML",Settings:"Parametratges dels maths",ZoomTrigger:"Desenclavador de zoom",Hover:"Susv\u00F2l",Click:"Clic",DoubleClick:"Clic doble",NoZoom:"Pas de zoom",TriggerRequires:"Lo desenclavador necessita :",Option:"Opcion",Alt:"Alt",Command:"Comanda",Control:"Contrar\u00F2tle",Shift:"Shift",ZoomFactor:"Factor de grossiment",Renderer:"Rendut matematic",MPHandles:"Daissar MathPlayer gerir :",MenuEvents:"Eveniments de men\u00FA",MouseEvents:"Eveniments de mirga",FontPrefs:"Prefer\u00E9ncias de poli\u00E7a",ForHTMLCSS:"Per HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navigador",Locale:"Lenga",LoadLocale:"Cargar dempu\u00E8i l\u2019URL\u2026",About:"A prepaus de MathJax",Help:"Ajuda de MathJax",localTeXfonts:"utilizar las poli\u00E7as TeX localas",webTeXfonts:"utilizar las poli\u00E7as TeX del web",imagefonts:"utilizar las poli\u00E7as Imatge",localSTIXfonts:"utilizar las poli\u00E7as STIX localas",webSVGfonts:"utilizar las poli\u00E7as SVG del web",genericfonts:"utilizar las poli\u00E7as unicode genericas",wofforotffonts:"poli\u00E7as woff o otf",eotffonts:"poli\u00E7as eot",svgfonts:"poli\u00E7as svg",Close:"Tampar",Scale:"Metre totes los maths a l\u2019escala\u2026",CloseAboutDialog:"Tampar la b\u00F3stia de dial\u00F2g A prepaus de MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathMenu.js"); +MathJax.Localization.addTranslation("oc","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Afichar jos la forma",MathMLcode:"C\u00F2di MathML",OriginalMathML:"MathML d\u2019origina",TeXCommands:"Comandas TeX",AsciiMathInput:"entrada AsciiMathML",Original:"Format d'origina",ErrorMessage:"Messatge d\u2019error",Annotation:"Anotacion",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contengut",OpenMath:"OpenMath",texHints:"Afichar las ajudas TeX en MathML",Settings:"Parametratges dels maths",ZoomTrigger:"Desenclavador de zoom",Hover:"Susv\u00F2l",Click:"Clic",DoubleClick:"Clic doble",NoZoom:"Pas de zoom",TriggerRequires:"Lo desenclavador necessita :",Option:"Opcion",Alt:"Alt",Command:"Comanda",Control:"Contrar\u00F2tle",Shift:"Shift",ZoomFactor:"Factor de grossiment",Renderer:"Rendut matematic",MPHandles:"Daissar MathPlayer gerir :",MenuEvents:"Eveniments de men\u00FA",MouseEvents:"Eveniments de mirga",FontPrefs:"Prefer\u00E9ncias de poli\u00E7a",ForHTMLCSS:"Per HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navigador",Locale:"Lenga",LoadLocale:"Cargar dempu\u00E8i l\u2019URL\u2026",About:"A prepaus de MathJax",Help:"Ajuda de MathJax",localTeXfonts:"utilizar las poli\u00E7as TeX localas",webTeXfonts:"utilizar las poli\u00E7as TeX del web",imagefonts:"utilizar las poli\u00E7as Imatge",localSTIXfonts:"utilizar las poli\u00E7as STIX localas",webSVGfonts:"utilizar las poli\u00E7as SVG del web",genericfonts:"utilizar las poli\u00E7as unicode genericas",wofforotffonts:"poli\u00E7as woff o otf",eotffonts:"poli\u00E7as eot",svgfonts:"poli\u00E7as svg",Close:"Tampar",Scale:"Metre totes los maths a l\u2019escala\u2026",CloseAboutDialog:"Tampar la b\u00F3stia de dial\u00F2g A prepaus de MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathMenu.js"); diff --git a/localization/oc/TeX.js b/localization/oc/TeX.js index e545c5d5c5..eef6789243 100644 --- a/localization/oc/TeX.js +++ b/localization/oc/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc","TeX",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/TeX.js"); +MathJax.Localization.addTranslation("oc","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/TeX.js"); diff --git a/localization/oc/oc.js b/localization/oc/oc.js index 77617a2db7..db5c7d172a 100644 --- a/localization/oc/oc.js +++ b/localization/oc/oc.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("oc",null,{menuTitle:"occitan",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"Error de tractament de la formula matematica",MathError:"Error dins la formula matematica",LoadFile:"Telecargament de %1",Loading:"Cargament",LoadFailed:"Frac\u00E0s del telecargament de %1",ProcessMath:"Tractament de las formulas : %1%%",Processing:"Tractament",TypesetMath:"Composicion de las formulas : %1%%",Typesetting:"Composicion",MathJaxNotSupported:"V\u00F2stre navigador sup\u00F2rta pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/oc.js"); +MathJax.Localization.addTranslation("oc",null,{menuTitle:"occitan",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Error de tractament de la formula matematica",MathError:"Error dins la formula matematica",LoadFile:"Telecargament de %1",Loading:"Cargament",LoadFailed:"Frac\u00E0s del telecargament de %1",ProcessMath:"Tractament de las formulas : %1%%",Processing:"Tractament",TypesetMath:"Composicion de las formulas : %1%%",Typesetting:"Composicion",MathJaxNotSupported:"V\u00F2stre navigador sup\u00F2rta pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/oc.js"); diff --git a/localization/pl/FontWarnings.js b/localization/pl/FontWarnings.js index 69e44549f1..05c25a71c5 100644 --- a/localization/pl/FontWarnings.js +++ b/localization/pl/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",imageFonts:"MathJax u\u017Cywa czcionek obrazkowych zamiast lokalnych lub pobranych z sieci. To powoduje wolniejsze wy\u015Bwietlanie strony oraz uniemo\u017Cliwia wydruk w pe\u0142nej rozdzielczo\u015Bci Twojej drukarki.",noFonts:"MathJax nie mo\u017Ce zlokalizowa\u0107 czcionek potrzebnych do wy\u015Bwietlenia wzor\u00F3w, a czcionki obrazkowe nie s\u0105 dost\u0119pne. U\u017Cywane s\u0105 wi\u0119c znaki Unicode z nadziej\u0105, \u017Ce Twoja przegl\u0105darka wy\u015Bwietli je poprawnie. Niekt\u00F3re znaki mog\u0105 jednak nie wygl\u0105da\u0107 prawid\u0142owo lub mog\u0105 nie by\u0107 w og\u00F3le wy\u015Bwietlane.",webFonts:"Wi\u0119kszo\u015B\u0107 nowych przegl\u0105darek umo\u017Cliwia pobieranie czcionek z sieci Web. Aktualizacja Twojej przegl\u0105darki (lub wyb\u00F3r innej) mo\u017Ce polepszy\u0107 jako\u015B\u0107 wy\u015Bwietlanych wzor\u00F3w matematycznych na tej stronie.",fonts:"MathJax mo\u017Ce u\u017Cy\u0107 albo [czcionek STIX](%1), albo [czcionek MathJax Tex](%2). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",STIXPage:"Ta strona wymaga [czcionek STIX](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",TeXPage:"Ta strona wymaga [czcionek MathJax Tex](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/FontWarnings.js"); +MathJax.Localization.addTranslation("pl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",imageFonts:"MathJax u\u017Cywa czcionek obrazkowych zamiast lokalnych lub pobranych z sieci. To powoduje wolniejsze wy\u015Bwietlanie strony oraz uniemo\u017Cliwia wydruk w pe\u0142nej rozdzielczo\u015Bci Twojej drukarki.",noFonts:"MathJax nie mo\u017Ce zlokalizowa\u0107 czcionek potrzebnych do wy\u015Bwietlenia wzor\u00F3w, a czcionki obrazkowe nie s\u0105 dost\u0119pne. U\u017Cywane s\u0105 wi\u0119c znaki Unicode z nadziej\u0105, \u017Ce Twoja przegl\u0105darka wy\u015Bwietli je poprawnie. Niekt\u00F3re znaki mog\u0105 jednak nie wygl\u0105da\u0107 prawid\u0142owo lub mog\u0105 nie by\u0107 w og\u00F3le wy\u015Bwietlane.",webFonts:"Wi\u0119kszo\u015B\u0107 nowych przegl\u0105darek umo\u017Cliwia pobieranie czcionek z sieci Web. Aktualizacja Twojej przegl\u0105darki (lub wyb\u00F3r innej) mo\u017Ce polepszy\u0107 jako\u015B\u0107 wy\u015Bwietlanych wzor\u00F3w matematycznych na tej stronie.",fonts:"MathJax mo\u017Ce u\u017Cy\u0107 albo [czcionek STIX](%1), albo [czcionek MathJax Tex](%2). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",STIXPage:"Ta strona wymaga [czcionek STIX](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",TeXPage:"Ta strona wymaga [czcionek MathJax Tex](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/FontWarnings.js"); diff --git a/localization/pl/HTML-CSS.js b/localization/pl/HTML-CSS.js index 3d09d8d6b3..7da1c55235 100644 --- a/localization/pl/HTML-CSS.js +++ b/localization/pl/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u0141aduj\u0119 czcionk\u0119 %1",CantLoadWebFont:"Nie mo\u017Cna za\u0142adowa\u0107 czcionki %1",FirefoxCantLoadWebFont:"Firefox nie mo\u017Ce za\u0142adowa\u0107 czcionek ze zdalnego hosta",CantFindFontUsing:"Nie mo\u017Cna znale\u017A\u0107 w\u0142a\u015Bciwej czcionki u\u017Cywaj\u0105c %1",WebFontsNotAvailable:"Czcionki internetowe nie dost\u0119pne - zamiast tego u\u017Cywane s\u0105 czcionki obrazkowe"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HTML-CSS.js"); +MathJax.Localization.addTranslation("pl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0141aduj\u0119 czcionk\u0119 %1",CantLoadWebFont:"Nie mo\u017Cna za\u0142adowa\u0107 czcionki %1",FirefoxCantLoadWebFont:"Firefox nie mo\u017Ce za\u0142adowa\u0107 czcionek ze zdalnego hosta",CantFindFontUsing:"Nie mo\u017Cna znale\u017A\u0107 w\u0142a\u015Bciwej czcionki u\u017Cywaj\u0105c %1",WebFontsNotAvailable:"Czcionki internetowe nie dost\u0119pne - zamiast tego u\u017Cywane s\u0105 czcionki obrazkowe"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HTML-CSS.js"); diff --git a/localization/pl/HelpDialog.js b/localization/pl/HelpDialog.js index c0357ddcef..2564432af5 100644 --- a/localization/pl/HelpDialog.js +++ b/localization/pl/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Pomoc MathJax",MathJax:"*MathJax* to biblioteka Javascript umo\u017Cliwiaj\u0105ca autorom stron Web na zapisywanie wzor\u00F3w matematycznych. Jako u\u017Cytkownik, nie musisz robi\u0107 nic dodatkowo, aby wzory by\u0142y poprawnie wy\u015Bwietlane.",Browsers:"*Przegl\u0105darki*: MathJax dzia\u0142a z nowymi przegl\u0105darkami, m.in. IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i wi\u0119kszo\u015Bci\u0105 przegl\u0105darek mobilnych.",Menu:"*Menu*: MathJax dodaje menu kontekstowe do wzor\u00F3w matematycznych. Kliknij prawym klawiszem myszki (lub lewy klawisz i Ctrl), aby je otworzy\u0107.",ShowMath:"Opcja *Poka\u017C wzory jako* pozwala zobaczy\u0107 \u017Ar\u00F3d\u0142ow\u0105 posta\u0107 wzor\u00F3w, aby mo\u017Cna by\u0142o je skopiowa\u0107 do schowka.",Settings:"Opcja *Ustawienia* pozwala kontrolowa\u0107 MathJax, m.in. ustawia\u0107 wielko\u015B\u0107 wzor\u00F3w i zmienia\u0107 mechanizm ich wy\u015Bwietlania.",Language:"*J\u0119zyk* pozwala wybra\u0107 j\u0119zyk, w jakim wy\u015Bwietlane jest menu oraz komunikaty o b\u0142\u0119dach.",Zoom:"*Powi\u0119kszanie*: Je\u017Celi masz problem z odczytaniem wzoru, MathJax mo\u017Ce zwi\u0119kszy\u0107 wielko\u015B\u0107 liter, aby \u0142atwiej by\u0142o go odczyta\u0107.",Accessibilty:"*Dost\u0119pno\u015B\u0107*: MathJax dzia\u0142a automatycznie z czytnikami ekranowymi, aby wzory matematyczne by\u0142y dost\u0119pne dla niedowidz\u0105cych.",Fonts:"*Czcionki*: MathJax u\u017Cyje czcionek matematycznych zainstalowanych w Twoim systemie. Je\u017Celi ich nie masz, to u\u017Cyje czcionek Web. Nie jest to wymagane, ale lokalnie dost\u0119pne czcionki przyspiesz\u0105 dzia\u0142anie MathJax. Sugerujemy zainstalowanie czcionek [STIX](%1).",CloseDialog:"Zamknij okno pomocy"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HelpDialog.js"); +MathJax.Localization.addTranslation("pl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Pomoc MathJax",MathJax:"*MathJax* to biblioteka Javascript umo\u017Cliwiaj\u0105ca autorom stron Web na zapisywanie wzor\u00F3w matematycznych. Jako u\u017Cytkownik, nie musisz robi\u0107 nic dodatkowo, aby wzory by\u0142y poprawnie wy\u015Bwietlane.",Browsers:"*Przegl\u0105darki*: MathJax dzia\u0142a z nowymi przegl\u0105darkami, m.in. IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i wi\u0119kszo\u015Bci\u0105 przegl\u0105darek mobilnych.",Menu:"*Menu*: MathJax dodaje menu kontekstowe do wzor\u00F3w matematycznych. Kliknij prawym klawiszem myszki (lub lewy klawisz i Ctrl), aby je otworzy\u0107.",ShowMath:"Opcja *Poka\u017C wzory jako* pozwala zobaczy\u0107 \u017Ar\u00F3d\u0142ow\u0105 posta\u0107 wzor\u00F3w, aby mo\u017Cna by\u0142o je skopiowa\u0107 do schowka.",Settings:"Opcja *Ustawienia* pozwala kontrolowa\u0107 MathJax, m.in. ustawia\u0107 wielko\u015B\u0107 wzor\u00F3w i zmienia\u0107 mechanizm ich wy\u015Bwietlania.",Language:"*J\u0119zyk* pozwala wybra\u0107 j\u0119zyk, w jakim wy\u015Bwietlane jest menu oraz komunikaty o b\u0142\u0119dach.",Zoom:"*Powi\u0119kszanie*: Je\u017Celi masz problem z odczytaniem wzoru, MathJax mo\u017Ce zwi\u0119kszy\u0107 wielko\u015B\u0107 liter, aby \u0142atwiej by\u0142o go odczyta\u0107.",Accessibilty:"*Dost\u0119pno\u015B\u0107*: MathJax dzia\u0142a automatycznie z czytnikami ekranowymi, aby wzory matematyczne by\u0142y dost\u0119pne dla niedowidz\u0105cych.",Fonts:"*Czcionki*: MathJax u\u017Cyje czcionek matematycznych zainstalowanych w Twoim systemie. Je\u017Celi ich nie masz, to u\u017Cyje czcionek Web. Nie jest to wymagane, ale lokalnie dost\u0119pne czcionki przyspiesz\u0105 dzia\u0142anie MathJax. Sugerujemy zainstalowanie czcionek [STIX](%1).",CloseDialog:"Zamknij okno pomocy"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HelpDialog.js"); diff --git a/localization/pl/MathML.js b/localization/pl/MathML.js index 75c93e0ee8..0811b5b22c 100644 --- a/localization/pl/MathML.js +++ b/localization/pl/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"B\u0142\u0105d w elemencie mglyph: %1",BadMglyphFont:"B\u0142\u0119dna czcionka: %1",MathPlayer:"MathJax nie m\u00F3g\u0142 uruchomi\u0107 MathPlayer.\n\nJe\u015Bli MathPlayer nie jest zainstalowany, musisz go najpierw zainstalowa\u0107.\nW przeciwnym razie, twoje ustawienia bezpiecze\u0144stwa mog\u0105 blokowa\u0107 dzia\u0142anie\nformant\u00F3w ActiveX. W Opcjach internetowych, w menu Narz\u0119dzia wybierz zak\u0142adk\u0119\nZabezpieczenia i naci\u015Bnij przycisk Poziom niestandardowy. Upewnij si\u0119, \u017Ce ustawienia\ndotycz\u0105ce ActiveX oraz skrypt\u00F3w s\u0105 w\u0142\u0105czone.\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",CantCreateXMLParser:"MathJax nie mo\u017Ce utworzy\u0107 parsera XML dla MathML. Upewnij si\u0119, \u017Ce\nopcja 'Wykonywanie skrypt\u00F3w formant\u00F3w ActiveX' jest w\u0142\u0105czona\n(sprawd\u017A to w Opcjach internetowych w menu Narz\u0119dzia,\nw zak\u0142adce Zabezpieczenia kliknij na przycisk Poziom niestandardowy).\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",UnknownNodeType:"Nieznany typ elementu: %1",UnexpectedTextNode:"Nieoczekiwany element tekstowy: %1",ErrorParsingMathML:"B\u0142\u0105d podczas przetwarzania MathML",ParsingError:"B\u0142\u0105d podczas przetwarzania MathML: %1",MathMLSingleElement:"MathML musi by\u0107 zamkni\u0119ty w pojedynczym elemencie",MathMLRootElement:"MathML musi by\u0107 zamkni\u0119ty w elemencie \u003Cmath\u003E, a nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathML.js"); +MathJax.Localization.addTranslation("pl","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"B\u0142\u0105d w elemencie mglyph: %1",BadMglyphFont:"B\u0142\u0119dna czcionka: %1",MathPlayer:"MathJax nie m\u00F3g\u0142 uruchomi\u0107 MathPlayer.\n\nJe\u015Bli MathPlayer nie jest zainstalowany, musisz go najpierw zainstalowa\u0107.\nW przeciwnym razie, twoje ustawienia bezpiecze\u0144stwa mog\u0105 blokowa\u0107 dzia\u0142anie\nformant\u00F3w ActiveX. W Opcjach internetowych, w menu Narz\u0119dzia wybierz zak\u0142adk\u0119\nZabezpieczenia i naci\u015Bnij przycisk Poziom niestandardowy. Upewnij si\u0119, \u017Ce ustawienia\ndotycz\u0105ce ActiveX oraz skrypt\u00F3w s\u0105 w\u0142\u0105czone.\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",CantCreateXMLParser:"MathJax nie mo\u017Ce utworzy\u0107 parsera XML dla MathML. Upewnij si\u0119, \u017Ce\nopcja 'Wykonywanie skrypt\u00F3w formant\u00F3w ActiveX' jest w\u0142\u0105czona\n(sprawd\u017A to w Opcjach internetowych w menu Narz\u0119dzia,\nw zak\u0142adce Zabezpieczenia kliknij na przycisk Poziom niestandardowy).\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",UnknownNodeType:"Nieznany typ elementu: %1",UnexpectedTextNode:"Nieoczekiwany element tekstowy: %1",ErrorParsingMathML:"B\u0142\u0105d podczas przetwarzania MathML",ParsingError:"B\u0142\u0105d podczas przetwarzania MathML: %1",MathMLSingleElement:"MathML musi by\u0107 zamkni\u0119ty w pojedynczym elemencie",MathMLRootElement:"MathML musi by\u0107 zamkni\u0119ty w elemencie \u003Cmath\u003E, a nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathML.js"); diff --git a/localization/pl/MathMenu.js b/localization/pl/MathMenu.js index a1b35e63fa..0e0160dff7 100644 --- a/localization/pl/MathMenu.js +++ b/localization/pl/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Poka\u017C wzory jako",MathMLcode:"Kod MathML",OriginalMathML:"Oryginalny MathML",TeXCommands:"Polecenia TeX",AsciiMathInput:"Wej\u015Bcie AsciiMathML",Original:"Oryginalny formularz",ErrorMessage:"Komunikat o b\u0142\u0119dzie",Annotation:"Adnotacja",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Zawarto\u015B\u0107 MathML",OpenMath:"OpenMath",texHints:"Poka\u017C wskaz\u00F3wki TeX w MathML",Settings:"Ustawienia wzor\u00F3w",ZoomTrigger:"Zwi\u0119kszanie zoomu",Hover:"poprzez najechanie mysz\u0105",Click:"poprzez klikni\u0119cie",DoubleClick:"poprzez dwukrotnie klikni\u0119cie",NoZoom:"Bez zoomu",TriggerRequires:"Aktywacja wymaga:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Wsp\u00F3\u0142czynnik powi\u0119kszenia",Renderer:"Renderowanie wzor\u00F3w",MPHandles:"Obs\u0142u\u017C MathPlayer",MenuEvents:"Zdarzenia menu",MouseEvents:"Zdarzenia myszy",MenuAndMouse:"Zdarzenia myszy i menu",FontPrefs:"Ustawienia czcionek",ForHTMLCSS:"Dla HTML-CSS:",Auto:"Automatycznie",TeXLocal:"TeX (lokalny)",TeXWeb:"TeX (www)",TeXImage:"TeX (obraz)",STIXLocal:"STIX (lokalny)",ContextMenu:"Menu kontekstowe",Browser:"Przegl\u0105darka",Scale:"Skalowanie wszystkich wzor\u00F3w...",Discoverable:"Podkre\u015Bl po najechaniu kursora",Locale:"J\u0119zyk",LoadLocale:"Pobierz z URL...",About:"O MathJax",Help:"Pomoc MathJax",localTeXfonts:"U\u017Cyj lokalnej czcionki TeX",webTeXfonts:"U\u017Cyj internetowej czcionki TeX",imagefonts:"U\u017Cyj czcionki obrazkowej",localSTIXfonts:"U\u017Cyj lokalnej czcionki STIX",webSVGfonts:"U\u017Cyj internetowej czcionki SVG",genericfonts:"U\u017Cyj generowanej czcionki unicode",wofforotffonts:"czcionki WOFF lub OTF",eotffonts:"czcionki EOT",svgfonts:"czcionki SVG",WebkitNativeMMLWarning:"Twoja przegl\u0105darka nie obs\u0142uguje MathML, wi\u0119c zmiana wyj\u015Bcia do MathML mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",MSIENativeMMLWarning:"Program Internet Explorer wymaga wtyczki MathPlayer do procesu wy\u015Bwietlania MathML.",OperaNativeMMLWarning:"Wsparcie dla MathML w Operze jest ograniczone. W zwi\u0105zku z tym zmiana wyj\u015Bcia na MathML mo\u017Ce spowodowa\u0107, \u017Ce niekt\u00F3re strony b\u0119d\u0105 niemo\u017Cliwe do odczytania.",SafariNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",FirefoxNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Ce\u0144 mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",MSIESVGWarning:"SVG nie jest zaimplementowane w Internet Explorerze do wersji 9 lub podczas emulowania IE8 lub poni\u017Cej, wi\u0119c zmiana wyj\u015Bcia do SVG mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",LoadURL:"Za\u0142aduj t\u0142umaczenie z tego URL:",BadURL:'Adres URL powinien by\u0107 dla pliku JavaScript, kt\u00F3ry definiuje dane t\u0142umaczenie MathJax. Pliki JavaScript powinny ko\u0144czy\u0107 si\u0119 ".js"',BadData:"Nie mo\u017Cna za\u0142adowa\u0107 danych t\u0142umacze\u0144 z %1",SwitchAnyway:"Na pewno zmieni\u0107 renderer ?\n\n(Naci\u015Bnij OK a\u017Ceby zmieni\u0107, lub CANCEL aby kontynuowa\u0107 z aktualnym rendererem)",ScaleMath:"Skaluj wszystkie wzory matematyczne (por\u00F3wnane do otaczaj\u0105cego tekstu) przez",NonZeroScale:"Warto\u015B\u0107 nie powinna by\u0107 zerowa",PercentScale:"Warto\u015B\u0107 powinna by\u0107 w procentach (na przyk\u0142ad 120%%)",IE8warning:"Ta opcja wy\u0142\u0105czy obs\u0142ug\u0119 menu i powi\u0119kszania w MathJax, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu MathJax.\n\nCzy na pewno chcesz zmieni\u0107 ustawienia MathPlayer?",IE9warning:"Menu kontekstowe MathJax zostanie wy\u0142\u0105czone, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu.",NoOriginalForm:"Brak wzor\u00F3w w oryginalnej postaci",Close:"Zamknij",EqSource:"\u0179r\u00F3d\u0142o wzoru MathJax",STIXWeb:"STIX (www)",AsanaMathWeb:"Asana Math (www)",GyrePagellaWeb:"Gyre Pagella (www)",GyreTermesWeb:"Gyre Termes (www)",LatinModernWeb:"Latin Modern (www)",NeoEulerWeb:"Neo Euler (www)",CloseAboutDialog:"Zamknij okno o MathJax",FastPreview:"Szybki podgl\u0105d strony",AssistiveMML:"Asystuj\u0105cy MathML",InTabOrder:"Zawarty w kolejno\u015Bci stron"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathMenu.js"); +MathJax.Localization.addTranslation("pl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Poka\u017C wzory jako",MathMLcode:"Kod MathML",OriginalMathML:"Oryginalny MathML",TeXCommands:"Polecenia TeX",AsciiMathInput:"Wej\u015Bcie AsciiMathML",Original:"Oryginalny formularz",ErrorMessage:"Komunikat o b\u0142\u0119dzie",Annotation:"Adnotacja",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Zawarto\u015B\u0107 MathML",OpenMath:"OpenMath",texHints:"Poka\u017C wskaz\u00F3wki TeX w MathML",Settings:"Ustawienia wzor\u00F3w",ZoomTrigger:"Zwi\u0119kszanie zoomu",Hover:"poprzez najechanie mysz\u0105",Click:"poprzez klikni\u0119cie",DoubleClick:"poprzez dwukrotnie klikni\u0119cie",NoZoom:"Bez zoomu",TriggerRequires:"Aktywacja wymaga:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Wsp\u00F3\u0142czynnik powi\u0119kszenia",Renderer:"Renderowanie wzor\u00F3w",MPHandles:"Obs\u0142u\u017C MathPlayer",MenuEvents:"Zdarzenia menu",MouseEvents:"Zdarzenia myszy",MenuAndMouse:"Zdarzenia myszy i menu",FontPrefs:"Ustawienia czcionek",ForHTMLCSS:"Dla HTML-CSS:",Auto:"Automatycznie",TeXLocal:"TeX (lokalny)",TeXWeb:"TeX (www)",TeXImage:"TeX (obraz)",STIXLocal:"STIX (lokalny)",ContextMenu:"Menu kontekstowe",Browser:"Przegl\u0105darka",Scale:"Skalowanie wszystkich wzor\u00F3w...",Discoverable:"Podkre\u015Bl po najechaniu kursora",Locale:"J\u0119zyk",LoadLocale:"Pobierz z URL...",About:"O MathJax",Help:"Pomoc MathJax",localTeXfonts:"U\u017Cyj lokalnej czcionki TeX",webTeXfonts:"U\u017Cyj internetowej czcionki TeX",imagefonts:"U\u017Cyj czcionki obrazkowej",localSTIXfonts:"U\u017Cyj lokalnej czcionki STIX",webSVGfonts:"U\u017Cyj internetowej czcionki SVG",genericfonts:"U\u017Cyj generowanej czcionki unicode",wofforotffonts:"czcionki WOFF lub OTF",eotffonts:"czcionki EOT",svgfonts:"czcionki SVG",WebkitNativeMMLWarning:"Twoja przegl\u0105darka nie obs\u0142uguje MathML, wi\u0119c zmiana wyj\u015Bcia do MathML mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",MSIENativeMMLWarning:"Program Internet Explorer wymaga wtyczki MathPlayer do procesu wy\u015Bwietlania MathML.",OperaNativeMMLWarning:"Wsparcie dla MathML w Operze jest ograniczone. W zwi\u0105zku z tym zmiana wyj\u015Bcia na MathML mo\u017Ce spowodowa\u0107, \u017Ce niekt\u00F3re strony b\u0119d\u0105 niemo\u017Cliwe do odczytania.",SafariNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",FirefoxNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Ce\u0144 mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",MSIESVGWarning:"SVG nie jest zaimplementowane w Internet Explorerze do wersji 9 lub podczas emulowania IE8 lub poni\u017Cej, wi\u0119c zmiana wyj\u015Bcia do SVG mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",LoadURL:"Za\u0142aduj t\u0142umaczenie z tego URL:",BadURL:'Adres URL powinien by\u0107 dla pliku JavaScript, kt\u00F3ry definiuje dane t\u0142umaczenie MathJax. Pliki JavaScript powinny ko\u0144czy\u0107 si\u0119 ".js"',BadData:"Nie mo\u017Cna za\u0142adowa\u0107 danych t\u0142umacze\u0144 z %1",SwitchAnyway:"Na pewno zmieni\u0107 renderer ?\n\n(Naci\u015Bnij OK a\u017Ceby zmieni\u0107, lub CANCEL aby kontynuowa\u0107 z aktualnym rendererem)",ScaleMath:"Skaluj wszystkie wzory matematyczne (por\u00F3wnane do otaczaj\u0105cego tekstu) przez",NonZeroScale:"Warto\u015B\u0107 nie powinna by\u0107 zerowa",PercentScale:"Warto\u015B\u0107 powinna by\u0107 w procentach (na przyk\u0142ad 120%%)",IE8warning:"Ta opcja wy\u0142\u0105czy obs\u0142ug\u0119 menu i powi\u0119kszania w MathJax, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu MathJax.\n\nCzy na pewno chcesz zmieni\u0107 ustawienia MathPlayer?",IE9warning:"Menu kontekstowe MathJax zostanie wy\u0142\u0105czone, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu.",NoOriginalForm:"Brak wzor\u00F3w w oryginalnej postaci",Close:"Zamknij",EqSource:"\u0179r\u00F3d\u0142o wzoru MathJax",STIXWeb:"STIX (www)",AsanaMathWeb:"Asana Math (www)",GyrePagellaWeb:"Gyre Pagella (www)",GyreTermesWeb:"Gyre Termes (www)",LatinModernWeb:"Latin Modern (www)",NeoEulerWeb:"Neo Euler (www)",CloseAboutDialog:"Zamknij okno o MathJax",FastPreview:"Szybki podgl\u0105d strony",AssistiveMML:"Asystuj\u0105cy MathML",InTabOrder:"Zawarty w kolejno\u015Bci stron"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathMenu.js"); diff --git a/localization/pl/TeX.js b/localization/pl/TeX.js index 3a01300e70..946c0776b7 100644 --- a/localization/pl/TeX.js +++ b/localization/pl/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",ExtraCloseMissingOpen:"Nadmiarowy nawias zamykaj\u0105cy lub brakuj\u0105cy nawias otwieraj\u0105cy",MissingLeftExtraRight:"Brakuj\u0105cy \\left lub nadmiarowy \\right",MissingScript:"Brakuj\u0105cy argument dla indeksu dolnego lub g\u00F3rnego",ExtraLeftMissingRight:"Nadmiarowy \\left lub brakuj\u0105cy \\right",Misplaced:"\u0179le umiejscowiony %1",MissingOpenForSub:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu dolnego",MissingOpenForSup:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu g\u00F3rnego",AmbiguousUseOf:"Niejednoznaczne u\u017Cycie %1",EnvBadEnd:"\\begin{%1} zosta\u0142 zako\u0144czony \\end{%2}",EnvMissingEnd:"Brakuj\u0105ce \\end{%1}",MissingBoxFor:"Brakuj\u0105ce pude\u0142ko (box) dla %1",MissingCloseBrace:"Brakuj\u0105cy nawias zamykaj\u0105cy",UndefinedControlSequence:"Nieznana komenda steruj\u0105ca %1",DoubleExponent:"Podw\u00F3jna pot\u0119ga: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleSubscripts:"Podw\u00F3jny indeks: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleExponentPrime:"Znak ' oznacza podw\u00F3jny wyk\u0142adnik: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",CantUseHash1:"Nie mo\u017Cesz u\u017Cywa\u0107 znaku parametru makra # w trybie matematycznym",MisplacedMiddle:"%1 musi by\u0107 pomi\u0119dzy \\left i \\right",MisplacedLimits:"%1 jest dozwolony tylko dla operator\u00F3w",MisplacedMoveRoot:"%1 mo\u017Ce pojawi\u0107 si\u0119 tylko w ramach korzenia (root)",MultipleCommand:"Wielokrotny %1",IntegerArg:"Parametr dla %1 musi by\u0107 liczb\u0105 ca\u0142kowit\u0105",NotMathMLToken:"%1 nie jest elementem typu token",InvalidMathMLAttr:"Nieprawid\u0142owy atrybut MathML: %1",UnknownAttrForElement:"%1 nie jest znanym atrybutem dla %2",MaxMacroSub1:"Przekroczono maksymaln\u0105 liczb\u0119 wywo\u0142a\u0144 makra; czy wyst\u0119puje rekursywne makro?",MaxMacroSub2:"Przekroczono maksymaln\u0105 liczb\u0119 zast\u0105pie\u0144 MathJax; czy wyst\u0119puje rekursywne \u015Brodowisko LaTeX?",MissingArgFor:"Brakuje argumentu dla %1",ExtraAlignTab:"Nadmiarowy tabulator w \\cases",BracketMustBeDimension:"Argument w nawiasie dla %1 musi by\u0107 wymiarem",InvalidEnv:"Nieznana nazwa \u015Brodowiska '%1'",UnknownEnv:"Nieznane \u015Brodowisko '%1'",ExtraCloseLooking:"Nadmiarowy nawias zamykaj\u0105cy napotkany w czasie poszukiwania %1",MissingCloseBracket:"Nie odnaleziono zamykaj\u0105cego nawiasu ']' dla argumentu dla %1",MissingOrUnrecognizedDelim:"Nieodnaleziony lub nierozpoznany separator dla %1",MissingDimOrUnits:"Brakuje wymiaru lub jego jednostki dla %1",TokenNotFoundForCommand:"Nie odnaleziono %1 dla %2",MathNotTerminated:"Nie odnaleziono zako\u0144czenia w polu tekstowym",IllegalMacroParam:"Nieprawid\u0142owa referencja do parametru makra",MaxBufferSize:"Przekroczono rozmiar bufora MathJax, czy istnieje rekursywne wywo\u0142anie makra?",CommandNotAllowedInEnv:"%1 nie jest dozwolony w \u015Brodowisku %2",MultipleLabel:"Wielokrotna definicja etykiety '%1'",CommandAtTheBeginingOfLine:"%1 musi znajdowa\u0107 si\u0119 na pocz\u0105tku linii",IllegalAlign:"Nieprawid\u0142owy argument dla %1",BadMathStyleFor:"B\u0142\u0119dny styl dla %1",PositiveIntegerArg:"Argument dla %1 musi by\u0107 dodatni\u0105 liczb\u0105 ca\u0142kowit\u0105",ErroneousNestingEq:"B\u0142\u0119dne zagnie\u017Cd\u017Cenie wyra\u017Ce\u0144",MultlineRowsOneCol:"Wiersze w \u015Brodowisku %1 musz\u0105 mie\u0107 dok\u0142adnie jedn\u0105 kolumn\u0119",MultipleBBoxProperty:"%1 okre\u015Blony dwa razy w %2",InvalidBBoxProperty:"'%1' nie jest kolorem, wielko\u015Bci\u0105 odst\u0119pu, ani stylem",ExtraEndMissingBegin:"Nadmiarowy %1 lub brakuj\u0105cy \\begingroup",GlobalNotFollowedBy:"Po %1 nie wyst\u0119puje \\let, \\def, ani \\newcommand",UndefinedColorModel:"Przestrze\u0144 barw '%1' nie jest zdefiniowana",ModelArg1:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 wymagaj\u0105 3 liczb",InvalidDecimalNumber:"Nieprawid\u0142owe liczba dziesi\u0119tna",ModelArg2:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 musz\u0105 by\u0107 pomi\u0119dzy %2 i %3",InvalidNumber:"B\u0142\u0119dna liczba",NewextarrowArg1:"Pierwszy argument dla %1 musi by\u0107 nazw\u0105 sekwencji kontrolnej",NewextarrowArg2:"Drugi argumentem dla %1 musz\u0105 by\u0107 dwie liczby ca\u0142kowite oddzielone przecinkiem",NewextarrowArg3:"Trzeci argument dla %1 musi by\u0107 numerem znaku unicode",NoClosingChar:"Nie mo\u017Cna odnale\u017A\u0107 zamykaj\u0105cego %1",IllegalControlSequenceName:"Nieprawid\u0142owa nazwa sekwencji kontrolnej dla %1",IllegalParamNumber:"Nieprawid\u0142owa liczba parametr\u00F3w dla %1",MissingCS:"Po %1 musi wyst\u0105pi\u0107 sekwencja kontrolna",CantUseHash2:"Nieprawid\u0142owe u\u017Cycie # w szablonie dla %1",SequentialParam:"Parametry dla %1 musz\u0105 by\u0107 ponumerowane rosn\u0105co",MissingReplacementString:"Brak \u0142a\u0144cucha zamiennego dla definicji %1",MismatchUseDef:"U\u017Cycie %1 niezgodne z definicj\u0105",RunawayArgument:"Zgin\u0105\u0142 argument dla %1?",NoClosingDelim:"Nie mo\u017Cna znale\u017A\u0107\u00A0ko\u0144cz\u0105cego separatora dla %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/TeX.js"); +MathJax.Localization.addTranslation("pl","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",ExtraCloseMissingOpen:"Nadmiarowy nawias zamykaj\u0105cy lub brakuj\u0105cy nawias otwieraj\u0105cy",MissingLeftExtraRight:"Brakuj\u0105cy \\left lub nadmiarowy \\right",MissingScript:"Brakuj\u0105cy argument dla indeksu dolnego lub g\u00F3rnego",ExtraLeftMissingRight:"Nadmiarowy \\left lub brakuj\u0105cy \\right",Misplaced:"\u0179le umiejscowiony %1",MissingOpenForSub:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu dolnego",MissingOpenForSup:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu g\u00F3rnego",AmbiguousUseOf:"Niejednoznaczne u\u017Cycie %1",EnvBadEnd:"\\begin{%1} zosta\u0142 zako\u0144czony \\end{%2}",EnvMissingEnd:"Brakuj\u0105ce \\end{%1}",MissingBoxFor:"Brakuj\u0105ce pude\u0142ko (box) dla %1",MissingCloseBrace:"Brakuj\u0105cy nawias zamykaj\u0105cy",UndefinedControlSequence:"Nieznana komenda steruj\u0105ca %1",DoubleExponent:"Podw\u00F3jna pot\u0119ga: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleSubscripts:"Podw\u00F3jny indeks: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleExponentPrime:"Znak ' oznacza podw\u00F3jny wyk\u0142adnik: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",CantUseHash1:"Nie mo\u017Cesz u\u017Cywa\u0107 znaku parametru makra # w trybie matematycznym",MisplacedMiddle:"%1 musi by\u0107 pomi\u0119dzy \\left i \\right",MisplacedLimits:"%1 jest dozwolony tylko dla operator\u00F3w",MisplacedMoveRoot:"%1 mo\u017Ce pojawi\u0107 si\u0119 tylko w ramach korzenia (root)",MultipleCommand:"Wielokrotny %1",IntegerArg:"Parametr dla %1 musi by\u0107 liczb\u0105 ca\u0142kowit\u0105",NotMathMLToken:"%1 nie jest elementem typu token",InvalidMathMLAttr:"Nieprawid\u0142owy atrybut MathML: %1",UnknownAttrForElement:"%1 nie jest znanym atrybutem dla %2",MaxMacroSub1:"Przekroczono maksymaln\u0105 liczb\u0119 wywo\u0142a\u0144 makra; czy wyst\u0119puje rekursywne makro?",MaxMacroSub2:"Przekroczono maksymaln\u0105 liczb\u0119 zast\u0105pie\u0144 MathJax; czy wyst\u0119puje rekursywne \u015Brodowisko LaTeX?",MissingArgFor:"Brakuje argumentu dla %1",ExtraAlignTab:"Nadmiarowy tabulator w \\cases",BracketMustBeDimension:"Argument w nawiasie dla %1 musi by\u0107 wymiarem",InvalidEnv:"Nieznana nazwa \u015Brodowiska '%1'",UnknownEnv:"Nieznane \u015Brodowisko '%1'",ExtraCloseLooking:"Nadmiarowy nawias zamykaj\u0105cy napotkany w czasie poszukiwania %1",MissingCloseBracket:"Nie odnaleziono zamykaj\u0105cego nawiasu ']' dla argumentu dla %1",MissingOrUnrecognizedDelim:"Nieodnaleziony lub nierozpoznany separator dla %1",MissingDimOrUnits:"Brakuje wymiaru lub jego jednostki dla %1",TokenNotFoundForCommand:"Nie odnaleziono %1 dla %2",MathNotTerminated:"Nie odnaleziono zako\u0144czenia w polu tekstowym",IllegalMacroParam:"Nieprawid\u0142owa referencja do parametru makra",MaxBufferSize:"Przekroczono rozmiar bufora MathJax, czy istnieje rekursywne wywo\u0142anie makra?",CommandNotAllowedInEnv:"%1 nie jest dozwolony w \u015Brodowisku %2",MultipleLabel:"Wielokrotna definicja etykiety '%1'",CommandAtTheBeginingOfLine:"%1 musi znajdowa\u0107 si\u0119 na pocz\u0105tku linii",IllegalAlign:"Nieprawid\u0142owy argument dla %1",BadMathStyleFor:"B\u0142\u0119dny styl dla %1",PositiveIntegerArg:"Argument dla %1 musi by\u0107 dodatni\u0105 liczb\u0105 ca\u0142kowit\u0105",ErroneousNestingEq:"B\u0142\u0119dne zagnie\u017Cd\u017Cenie wyra\u017Ce\u0144",MultlineRowsOneCol:"Wiersze w \u015Brodowisku %1 musz\u0105 mie\u0107 dok\u0142adnie jedn\u0105 kolumn\u0119",MultipleBBoxProperty:"%1 okre\u015Blony dwa razy w %2",InvalidBBoxProperty:"'%1' nie jest kolorem, wielko\u015Bci\u0105 odst\u0119pu, ani stylem",ExtraEndMissingBegin:"Nadmiarowy %1 lub brakuj\u0105cy \\begingroup",GlobalNotFollowedBy:"Po %1 nie wyst\u0119puje \\let, \\def, ani \\newcommand",UndefinedColorModel:"Przestrze\u0144 barw '%1' nie jest zdefiniowana",ModelArg1:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 wymagaj\u0105 3 liczb",InvalidDecimalNumber:"Nieprawid\u0142owe liczba dziesi\u0119tna",ModelArg2:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 musz\u0105 by\u0107 pomi\u0119dzy %2 i %3",InvalidNumber:"B\u0142\u0119dna liczba",NewextarrowArg1:"Pierwszy argument dla %1 musi by\u0107 nazw\u0105 sekwencji kontrolnej",NewextarrowArg2:"Drugi argumentem dla %1 musz\u0105 by\u0107 dwie liczby ca\u0142kowite oddzielone przecinkiem",NewextarrowArg3:"Trzeci argument dla %1 musi by\u0107 numerem znaku unicode",NoClosingChar:"Nie mo\u017Cna odnale\u017A\u0107 zamykaj\u0105cego %1",IllegalControlSequenceName:"Nieprawid\u0142owa nazwa sekwencji kontrolnej dla %1",IllegalParamNumber:"Nieprawid\u0142owa liczba parametr\u00F3w dla %1",MissingCS:"Po %1 musi wyst\u0105pi\u0107 sekwencja kontrolna",CantUseHash2:"Nieprawid\u0142owe u\u017Cycie # w szablonie dla %1",SequentialParam:"Parametry dla %1 musz\u0105 by\u0107 ponumerowane rosn\u0105co",MissingReplacementString:"Brak \u0142a\u0144cucha zamiennego dla definicji %1",MismatchUseDef:"U\u017Cycie %1 niezgodne z definicj\u0105",RunawayArgument:"Zgin\u0105\u0142 argument dla %1?",NoClosingDelim:"Nie mo\u017Cna znale\u017A\u0107\u00A0ko\u0144cz\u0105cego separatora dla %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/TeX.js"); diff --git a/localization/pl/pl.js b/localization/pl/pl.js index 337404dbeb..59fb5b3f91 100644 --- a/localization/pl/pl.js +++ b/localization/pl/pl.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pl",null,{menuTitle:"polski",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",MathProcessingError:"B\u0142\u0105d podczas przetwarzania wzor\u00F3w matematycznych",MathError:"B\u0142\u0105d we wzorze matematycznym",LoadFile:"\u0141aduj\u0119 %1",Loading:"\u0141aduj\u0119",LoadFailed:"Nie uda\u0142o si\u0119 za\u0142adowa\u0107 pliku: %1",ProcessMath:"Przetwarzam wzory matematyczne: %1%%",Processing:"Przetwarzam",TypesetMath:"Przetwarzam wzory matematyczne: %1%%",Typesetting:"Przetwarzam",MathJaxNotSupported:"Twoja przegl\u0105darka nie obs\u0142uguje MathJax",ErrorTips:"Porady debugowania: u\u017Cyj %%1, sprawd\u017A %%2 w konsoli przegl\u0105darki."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a==1){return 1}else{if(a%10>=2&&a%10<=4&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/pl.js"); +MathJax.Localization.addTranslation("pl",null,{menuTitle:"polski",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",MathProcessingError:"B\u0142\u0105d podczas przetwarzania wzor\u00F3w matematycznych",MathError:"B\u0142\u0105d we wzorze matematycznym",LoadFile:"\u0141aduj\u0119 %1",Loading:"\u0141aduj\u0119",LoadFailed:"Nie uda\u0142o si\u0119 za\u0142adowa\u0107 pliku: %1",ProcessMath:"Przetwarzam wzory matematyczne: %1%%",Processing:"Przetwarzam",TypesetMath:"Przetwarzam wzory matematyczne: %1%%",Typesetting:"Przetwarzam",MathJaxNotSupported:"Twoja przegl\u0105darka nie obs\u0142uguje MathJax",ErrorTips:"Porady debugowania: u\u017Cyj %%1, sprawd\u017A %%2 w konsoli przegl\u0105darki."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a==1){return 1}else{if(a%10>=2&&a%10<=4&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/pl.js"); diff --git a/localization/pt-br/FontWarnings.js b/localization/pt-br/FontWarnings.js index 63401ff887..6d670fb6c2 100644 --- a/localization/pt-br/FontWarnings.js +++ b/localization/pt-br/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/FontWarnings.js"); +MathJax.Localization.addTranslation("pt-br","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/FontWarnings.js"); diff --git a/localization/pt-br/HTML-CSS.js b/localization/pt-br/HTML-CSS.js index 80eed93495..5cf0a992ce 100644 --- a/localization/pt-br/HTML-CSS.js +++ b/localization/pt-br/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HTML-CSS.js"); +MathJax.Localization.addTranslation("pt-br","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HTML-CSS.js"); diff --git a/localization/pt-br/HelpDialog.js b/localization/pt-br/HelpDialog.js index 2b3aeaea54..9dac95e516 100644 --- a/localization/pt-br/HelpDialog.js +++ b/localization/pt-br/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer nada para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HelpDialog.js"); +MathJax.Localization.addTranslation("pt-br","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer nada para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HelpDialog.js"); diff --git a/localization/pt-br/MathML.js b/localization/pt-br/MathML.js index 2b11ac1c9b..864d24f8c6 100644 --- a/localization/pt-br/MathML.js +++ b/localization/pt-br/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX. Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML. Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathML.js"); +MathJax.Localization.addTranslation("pt-br","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX. Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML. Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathML.js"); diff --git a/localization/pt-br/MathMenu.js b/localization/pt-br/MathMenu.js index ee870160ac..f7cbeb7827 100644 --- a/localization/pt-br/MathMenu.js +++ b/localization/pt-br/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latim Moderno (Web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX locais",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"Parece que seu navegador n\u00E3o oferece suporte nativo ao MathML, ent\u00E3o a mudan\u00E7a para a sa\u00EDda do MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem formulario original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathMenu.js"); +MathJax.Localization.addTranslation("pt-br","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latim Moderno (Web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX locais",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"Parece que seu navegador n\u00E3o oferece suporte nativo ao MathML, ent\u00E3o a mudan\u00E7a para a sa\u00EDda do MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem formulario original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathMenu.js"); diff --git a/localization/pt-br/TeX.js b/localization/pt-br/TeX.js index 79b2764dd1..8840868331 100644 --- a/localization/pt-br/TeX.js +++ b/localization/pt-br/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente de LaTeX recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um numero inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a linha de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/TeX.js"); +MathJax.Localization.addTranslation("pt-br","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente de LaTeX recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um numero inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a linha de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/TeX.js"); diff --git a/localization/pt-br/pt-br.js b/localization/pt-br/pt-br.js index aabb405c6e..bfb7345de7 100644 --- a/localization/pt-br/pt-br.js +++ b/localization/pt-br/pt-br.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt-br",null,{menuTitle:"portugu\u00EAs do Brasil",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:"Carregando %1",Loading:"Carregando",LoadFailed:"O arquivo n\u00E3o pode ser carregado: %1",ProcessMath:"Processando f\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Realizando a Diagrama\u00E7\u00E3o das F\u00F3rmulas: %1%%",Typesetting:"Realizando a Diagrama\u00E7\u00E3o",MathJaxNotSupported:"Seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/pt-br.js"); +MathJax.Localization.addTranslation("pt-br",null,{menuTitle:"portugu\u00EAs do Brasil",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:"Carregando %1",Loading:"Carregando",LoadFailed:"O arquivo n\u00E3o pode ser carregado: %1",ProcessMath:"Processando f\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Realizando a Diagrama\u00E7\u00E3o das F\u00F3rmulas: %1%%",Typesetting:"Realizando a Diagrama\u00E7\u00E3o",MathJaxNotSupported:"Seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/pt-br.js"); diff --git a/localization/pt/FontWarnings.js b/localization/pt/FontWarnings.js index 2f2c1f3861..ef56f1dc71 100644 --- a/localization/pt/FontWarnings.js +++ b/localization/pt/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 a utilizar fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. A sua descarga leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se instalasse as fontes para matem\u00E1tica diretamente no diret\u00F3rio de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 a utilizar fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel na sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres Unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exibi-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam descarregadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/FontWarnings.js"); +MathJax.Localization.addTranslation("pt","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 a utilizar fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. A sua descarga leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se instalasse as fontes para matem\u00E1tica diretamente no diret\u00F3rio de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 a utilizar fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel na sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres Unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exibi-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam descarregadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/FontWarnings.js"); diff --git a/localization/pt/HTML-CSS.js b/localization/pt/HTML-CSS.js index 4c70a0cf16..b238a53da4 100644 --- a/localization/pt/HTML-CSS.js +++ b/localization/pt/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"A carregar fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox n\u00E3o pode carregar fontes baseadas em web a partir de um servidor remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- a usar fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HTML-CSS.js"); +MathJax.Localization.addTranslation("pt","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"A carregar fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox n\u00E3o pode carregar fontes baseadas em web a partir de um servidor remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- a usar fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HTML-CSS.js"); diff --git a/localization/pt/HelpDialog.js b/localization/pt/HelpDialog.js index 5e69a8e44e..f837fdbcdd 100644 --- a/localization/pt/HelpDialog.js +++ b/localization/pt/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para aceder ao menu.",ShowMath:"*Mostrar f\u00F3rmulas como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou no seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza nos seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de ecr\u00E3 para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HelpDialog.js"); +MathJax.Localization.addTranslation("pt","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para aceder ao menu.",ShowMath:"*Mostrar f\u00F3rmulas como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou no seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza nos seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de ecr\u00E3 para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HelpDialog.js"); diff --git a/localization/pt/MathML.js b/localization/pt/MathML.js index 9c805b7af7..8d778b3820 100644 --- a/localization/pt/MathML.js +++ b/localization/pt/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX. Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente, ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML. Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao processar MathML",ParsingError:"Erro ao processar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathML.js"); +MathJax.Localization.addTranslation("pt","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX. Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente, ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML. Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao processar MathML",ParsingError:"Erro ao processar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathML.js"); diff --git a/localization/pt/MathMenu.js b/localization/pt/MathMenu.js index 4e2835f9ae..6db99a7b49 100644 --- a/localization/pt/MathMenu.js +++ b/localization/pt/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Mostrar f\u00F3rmulas como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Ativador do zoom",Hover:"Passar o rato",Click:"Clique",DoubleClick:"Duplo clique",NoZoom:"Sem zoom",TriggerRequires:"O ativador requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de menu",MouseEvents:"Eventos do rato",MenuAndMouse:"Eventos do rato e de menu",FontPrefs:"Prefer\u00EAncias de fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de contexto",Browser:"Navegador",Scale:"Redimensionar todas as f\u00F3rmulas ...",Discoverable:"Destacar ao passar com o rato",Locale:"L\u00EDngua",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"a usar fontes TeX locais",webTeXfonts:"a usar fontes TeX da web",imagefonts:"a usar fontes feitas com imagens",localSTIXfonts:"a usar fontes STIX",webSVGfonts:"a usar fontes SVG da web",genericfonts:"a usar fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo ao MathML no seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um ficheiro de JavaScript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos ficheiros de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma percentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nDeseja realmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas pode usar Alt-Clique numa express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"C\u00F3digo de equa\u00E7\u00E3o MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathMenu.js"); +MathJax.Localization.addTranslation("pt","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostrar f\u00F3rmulas como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Ativador do zoom",Hover:"Passar o rato",Click:"Clique",DoubleClick:"Duplo clique",NoZoom:"Sem zoom",TriggerRequires:"O ativador requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de menu",MouseEvents:"Eventos do rato",MenuAndMouse:"Eventos do rato e de menu",FontPrefs:"Prefer\u00EAncias de fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de contexto",Browser:"Navegador",Scale:"Redimensionar todas as f\u00F3rmulas ...",Discoverable:"Destacar ao passar com o rato",Locale:"L\u00EDngua",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"a usar fontes TeX locais",webTeXfonts:"a usar fontes TeX da web",imagefonts:"a usar fontes feitas com imagens",localSTIXfonts:"a usar fontes STIX",webSVGfonts:"a usar fontes SVG da web",genericfonts:"a usar fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo ao MathML no seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um ficheiro de JavaScript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos ficheiros de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma percentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nDeseja realmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas pode usar Alt-Clique numa express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"C\u00F3digo de equa\u00E7\u00E3o MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathMenu.js"); diff --git a/localization/pt/TeX.js b/localization/pt/TeX.js index 890e002c29..1c25b42abc 100644 --- a/localization/pt/TeX.js +++ b/localization/pt/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Chaveta de abertura a mais ou chaveta de fecho a menos",ExtraCloseMissingOpen:"Chaveta de fecho a mais ou chaveta de abertura a menos",MissingLeftExtraRight:"Falta um \\left ou h\u00E1 um \\right a mais",MissingScript:"Falta o valor de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Falta um \\right ou h\u00E1 um \\left a mais",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Falta a chaveta de abertura para o subscrito",MissingOpenForSup:"Falta a chaveta de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"\\end{%1} em falta",MissingBoxFor:"Falta uma caixa para %1",MissingCloseBrace:"Falta chaveta de fecho",UndefinedControlSequence:"Sequ\u00EAncia de controlo indefinida %1",DoubleExponent:"Expoente duplo: use chavetas para clarificar",DoubleSubscripts:"Subscrito duplo: use chavetas para clarificar",DoubleExponentPrime:"\u00C9 amb\u00EDguo a que diz respeito a plica (\u2032): use chavetas para clarificar",CantUseHash1:"N\u00E3o pode usar o car\u00E1cter # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido em operadores",MisplacedMoveRoot:"%1 s\u00F3 pode ser usado dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de chave",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente LaTeX recursivo?",MissingArgFor:"Falta um argumento para %1",ExtraAlignTab:"H\u00E1 um tab de alinhamento a mais no texto de \\cases",BracketMustBeDimension:"O argumento nos par\u00EAnteses retos de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido: '%1'",UnknownEnv:"Ambiente desconhecido: '%1'",ExtraCloseLooking:"Encontrada uma chaveta de fecho ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fecho para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 em falta ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Falta a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais que uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmula inv\u00E1lido para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o de espa\u00E7amento, nem um estilo",ExtraEndMissingBegin:"H\u00E1 um %1 a mais ou um \\begingroup a menos",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"O modelo %1 requer 3 n\u00FAmeros para valores de cor",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controlo",NewextarrowArg2:"O segundo argumento de %1 deve ser composto por dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o c\u00F3digo Unicode de um caractere",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fecho",IllegalControlSequenceName:"O nome da sequ\u00EAncia de controlo para %1 \u00E9 inv\u00E1lido",IllegalParamNumber:"N\u00FAmero inv\u00E1lido de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controlo",CantUseHash2:"Uso ilegal de # em modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Falta a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o condiz com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento em excesso para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fecho para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/TeX.js"); +MathJax.Localization.addTranslation("pt","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Chaveta de abertura a mais ou chaveta de fecho a menos",ExtraCloseMissingOpen:"Chaveta de fecho a mais ou chaveta de abertura a menos",MissingLeftExtraRight:"Falta um \\left ou h\u00E1 um \\right a mais",MissingScript:"Falta o valor de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Falta um \\right ou h\u00E1 um \\left a mais",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Falta a chaveta de abertura para o subscrito",MissingOpenForSup:"Falta a chaveta de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"\\end{%1} em falta",MissingBoxFor:"Falta uma caixa para %1",MissingCloseBrace:"Falta chaveta de fecho",UndefinedControlSequence:"Sequ\u00EAncia de controlo indefinida %1",DoubleExponent:"Expoente duplo: use chavetas para clarificar",DoubleSubscripts:"Subscrito duplo: use chavetas para clarificar",DoubleExponentPrime:"\u00C9 amb\u00EDguo a que diz respeito a plica (\u2032): use chavetas para clarificar",CantUseHash1:"N\u00E3o pode usar o car\u00E1cter # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido em operadores",MisplacedMoveRoot:"%1 s\u00F3 pode ser usado dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de chave",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente LaTeX recursivo?",MissingArgFor:"Falta um argumento para %1",ExtraAlignTab:"H\u00E1 um tab de alinhamento a mais no texto de \\cases",BracketMustBeDimension:"O argumento nos par\u00EAnteses retos de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido: '%1'",UnknownEnv:"Ambiente desconhecido: '%1'",ExtraCloseLooking:"Encontrada uma chaveta de fecho ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fecho para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 em falta ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Falta a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais que uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmula inv\u00E1lido para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o de espa\u00E7amento, nem um estilo",ExtraEndMissingBegin:"H\u00E1 um %1 a mais ou um \\begingroup a menos",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"O modelo %1 requer 3 n\u00FAmeros para valores de cor",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controlo",NewextarrowArg2:"O segundo argumento de %1 deve ser composto por dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o c\u00F3digo Unicode de um caractere",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fecho",IllegalControlSequenceName:"O nome da sequ\u00EAncia de controlo para %1 \u00E9 inv\u00E1lido",IllegalParamNumber:"N\u00FAmero inv\u00E1lido de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controlo",CantUseHash2:"Uso ilegal de # em modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Falta a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o condiz com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento em excesso para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fecho para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/TeX.js"); diff --git a/localization/pt/pt.js b/localization/pt/pt.js index 6c5f1af700..8c16ac34f1 100644 --- a/localization/pt/pt.js +++ b/localization/pt/pt.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("pt",null,{menuTitle:"portugu\u00EAs",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro de matem\u00E1tica",LoadFile:"A carregar %1",Loading:"A carregar",LoadFailed:"O ficheiro n\u00E3o pode ser carregado: %1",ProcessMath:"A processar f\u00F3rmula: %1%%",Processing:"A processar",TypesetMath:"A formatar f\u00F3rmulas: %1%%",Typesetting:"A formatar",MathJaxNotSupported:"O seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/pt.js"); +MathJax.Localization.addTranslation("pt",null,{menuTitle:"portugu\u00EAs",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro de matem\u00E1tica",LoadFile:"A carregar %1",Loading:"A carregar",LoadFailed:"O ficheiro n\u00E3o pode ser carregado: %1",ProcessMath:"A processar f\u00F3rmula: %1%%",Processing:"A processar",TypesetMath:"A formatar f\u00F3rmulas: %1%%",Typesetting:"A formatar",MathJaxNotSupported:"O seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/pt.js"); diff --git a/localization/qqq/FontWarnings.js b/localization/qqq/FontWarnings.js index 2ebaf32f1f..d6e9f5043a 100644 --- a/localization/qqq/FontWarnings.js +++ b/localization/qqq/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"This warning is displayed by the FontWarnings extension when web-based fonts are used.",imageFonts:"This warning is displayed by the FontWarnings extension when image fonts are used.",noFonts:"This warning is displayed by the FontWarnings extension when no fonts can be used.",webFonts:"This warning is displayed by the FontWarnings extension when the browser do not support web fonts",fonts:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains both STIX and TeX.\n\nParameters:\n* %1 - URL\n* %2 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-TeXPage}}",STIXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only STIX.\n\nParameters:\n* %1 - URL",TeXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only TeX.\n\nParameters:\n* %1 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-fonts}}"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/FontWarnings.js"); +MathJax.Localization.addTranslation("qqq","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"This warning is displayed by the FontWarnings extension when web-based fonts are used.",imageFonts:"This warning is displayed by the FontWarnings extension when image fonts are used.",noFonts:"This warning is displayed by the FontWarnings extension when no fonts can be used.",webFonts:"This warning is displayed by the FontWarnings extension when the browser do not support web fonts",fonts:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains both STIX and TeX.\n\nParameters:\n* %1 - URL\n* %2 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-TeXPage}}",STIXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only STIX.\n\nParameters:\n* %1 - URL",TeXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only TeX.\n\nParameters:\n* %1 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-fonts}}"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/FontWarnings.js"); diff --git a/localization/qqq/HTML-CSS.js b/localization/qqq/HTML-CSS.js index cb4f524956..04452bc57d 100644 --- a/localization/qqq/HTML-CSS.js +++ b/localization/qqq/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",CantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font. The first argument is the font name",FirefoxCantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font in Firefox",CantFindFontUsing:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font from a given list.\n\nParameters:\n* %1 - a list of fonts tried, comma-separated",WebFontsNotAvailable:"This is displayed in MathJax message box when the HTML-CSS fails to load Web fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HTML-CSS.js"); +MathJax.Localization.addTranslation("qqq","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",CantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font. The first argument is the font name",FirefoxCantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font in Firefox",CantFindFontUsing:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font from a given list.\n\nParameters:\n* %1 - a list of fonts tried, comma-separated",WebFontsNotAvailable:"This is displayed in MathJax message box when the HTML-CSS fails to load Web fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HTML-CSS.js"); diff --git a/localization/qqq/HelpDialog.js b/localization/qqq/HelpDialog.js index d21b252df3..4b1e27a91b 100644 --- a/localization/qqq/HelpDialog.js +++ b/localization/qqq/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"This is the title displayed at the top of the MathJax Help dialog.",MathJax:"First paragraph of the MathJax Help dialog.\n\nStars around 'MathJax' is the Markdown syntax to put it in emphasis.",Browsers:"Second paragraph of the MathJax Help dialog.\n\nStars around 'Browsers' is the Markdown syntax to put it in emphasis.",Menu:'Third paragraph of the MathJax Help dialog.\n\nStars around \'Math Menu\' the Markdown syntax to put it in emphasis.\n\n"CTRL" refers to "Ctrl key" ("Control key").',ShowMath:"First item of the the 'Math Menu' paragraph.\n\nStars around 'Show math as' is the Markdown syntax to put it in emphasis.\n\n'Show Math as' should be consistent with {{msg-mathjax|Mathmenu-Show}}.",Settings:"Second item of the the 'Math Menu' paragraph.\n\nStars around 'Settings' is the Markdown syntax to put it in emphasis.\n\n'Settings' should be consistent with {{msg-mathjax|Mathmenu-Settings}}.",Language:"Third item of the the 'Math Menu' paragraph.\n\nStars around 'Language' is the Markdown syntax to put it in emphasis.\n\n'Language' should be consistent with {{msg-mathjax|Mathmenu-Locale}}.",Zoom:"Fourth paragraph of the MathJax Help dialog.\n\nStars around 'Math Zoom' is the Markdown syntax to put it in emphasis.\n\n'Math Zoom' should be consistent with {{msg-mathjax|Mathmenu-ZoomTrigger}} and {{msg-mathjax|Mathmenu-ZoomFactor}}.",Accessibilty:"Fifth paragraph of the MathJax Help dialog.\n\nStars around 'Accessibility' is the Markdown syntax to put it in emphasis.",Fonts:"{{doc-markdown}}\nSixth paragraph of the MathJax Help dialog.\n\nStars around 'Fonts' is the Markdown syntax to put it in emphasis.\n\n\u003Ccode\u003E[STIX fonts](%1)\u003C/code\u003E is the Markdown syntax for links.\n\nParameters:\n* %1 - a URL the STIX fonts",CloseDialog:"Text alternative for the closing button of the 'MathJax Help' pop-up."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HelpDialog.js"); +MathJax.Localization.addTranslation("qqq","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"This is the title displayed at the top of the MathJax Help dialog.",MathJax:"First paragraph of the MathJax Help dialog.\n\nStars around 'MathJax' is the Markdown syntax to put it in emphasis.",Browsers:"Second paragraph of the MathJax Help dialog.\n\nStars around 'Browsers' is the Markdown syntax to put it in emphasis.",Menu:'Third paragraph of the MathJax Help dialog.\n\nStars around \'Math Menu\' the Markdown syntax to put it in emphasis.\n\n"CTRL" refers to "Ctrl key" ("Control key").',ShowMath:"First item of the the 'Math Menu' paragraph.\n\nStars around 'Show math as' is the Markdown syntax to put it in emphasis.\n\n'Show Math as' should be consistent with {{msg-mathjax|Mathmenu-Show}}.",Settings:"Second item of the the 'Math Menu' paragraph.\n\nStars around 'Settings' is the Markdown syntax to put it in emphasis.\n\n'Settings' should be consistent with {{msg-mathjax|Mathmenu-Settings}}.",Language:"Third item of the the 'Math Menu' paragraph.\n\nStars around 'Language' is the Markdown syntax to put it in emphasis.\n\n'Language' should be consistent with {{msg-mathjax|Mathmenu-Locale}}.",Zoom:"Fourth paragraph of the MathJax Help dialog.\n\nStars around 'Math Zoom' is the Markdown syntax to put it in emphasis.\n\n'Math Zoom' should be consistent with {{msg-mathjax|Mathmenu-ZoomTrigger}} and {{msg-mathjax|Mathmenu-ZoomFactor}}.",Accessibilty:"Fifth paragraph of the MathJax Help dialog.\n\nStars around 'Accessibility' is the Markdown syntax to put it in emphasis.",Fonts:"{{doc-markdown}}\nSixth paragraph of the MathJax Help dialog.\n\nStars around 'Fonts' is the Markdown syntax to put it in emphasis.\n\n\u003Ccode\u003E[STIX fonts](%1)\u003C/code\u003E is the Markdown syntax for links.\n\nParameters:\n* %1 - a URL the STIX fonts",CloseDialog:"Text alternative for the closing button of the 'MathJax Help' pop-up."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HelpDialog.js"); diff --git a/localization/qqq/MathML.js b/localization/qqq/MathML.js index 6c557cab6f..c0e2c68710 100644 --- a/localization/qqq/MathML.js +++ b/localization/qqq/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",BadMglyphFont:"Parameters:\n* %1 - font family",MathPlayer:"This alert is displayed when the Native MathML output Jax fails to set up MathPlayer. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",CantCreateXMLParser:"This alert is displayed when the MathML input Jax fails to create an XML parser. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",UnknownNodeType:"Used as error message. Parameters:\n* %1 - node type",UnexpectedTextNode:'Used as error message. Parameters:\n* %1 - text, enclosed in "\'"',ErrorParsingMathML:"This error is displayed when a MathML element fails to be parsed.\n\nIt can only be produced by old versions of Internet Explorer.",ParsingError:"This error is displayed when an XML parsing error happens.\n\nThe argument is the error returned by the XML parser.",MathMLSingleElement:"This error is displayed when a MathML input Jax contains more than one \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E root.\n\nIt can only be produced by very old browsers.",MathMLRootElement:"{{doc-important|Do not translate the \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E tag! It is a MathML tag.}} \n\nThis error is displayed when a MathML input Jax contains a root other than \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E.\n\nParameters:\n* %1 - the root name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathML.js"); +MathJax.Localization.addTranslation("qqq","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",BadMglyphFont:"Parameters:\n* %1 - font family",MathPlayer:"This alert is displayed when the Native MathML output Jax fails to set up MathPlayer. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",CantCreateXMLParser:"This alert is displayed when the MathML input Jax fails to create an XML parser. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",UnknownNodeType:"Used as error message. Parameters:\n* %1 - node type",UnexpectedTextNode:'Used as error message. Parameters:\n* %1 - text, enclosed in "\'"',ErrorParsingMathML:"This error is displayed when a MathML element fails to be parsed.\n\nIt can only be produced by old versions of Internet Explorer.",ParsingError:"This error is displayed when an XML parsing error happens.\n\nThe argument is the error returned by the XML parser.",MathMLSingleElement:"This error is displayed when a MathML input Jax contains more than one \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E root.\n\nIt can only be produced by very old browsers.",MathMLRootElement:"{{doc-important|Do not translate the \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E tag! It is a MathML tag.}} \n\nThis error is displayed when a MathML input Jax contains a root other than \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E.\n\nParameters:\n* %1 - the root name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathML.js"); diff --git a/localization/qqq/MathMenu.js b/localization/qqq/MathMenu.js index 149357aeb6..5aab8aeb6f 100644 --- a/localization/qqq/MathMenu.js +++ b/localization/qqq/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",MathMLcode:"This menu item from 'Show math as' shows the MathML code that MathJax has produced internally (sanitized, indented etc.)\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",OriginalMathML:"This menu item from 'Show math as' shows the MathML code as if that was originally in the page source",TeXCommands:"This menu item from 'Show math as' shows the TeX code if that was originally in the page source",AsciiMathInput:"This menu item from 'Show math as' shows the asciimath code if that was originally in the page source",Original:"This menu item from 'Show math as' shows the code that was originally in the page source but has no registered type.\n\nThis can happen when extensions add new input formats but fail to provide an adequate format name.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.\n{{Identical|Original form}}",ErrorMessage:"This menu item from 'Show math as' shows the error message if MathJax fails to process the source.\n{{Identical|Error message}}",Annotation:"This menu item from 'Show math as' allows to access possible annotations attached to a MathML formula.\n{{Identical|Annotation}}",TeX:"This is a menu item from the 'Annotation Menu' to show a TeX annotation.",StarMath:"This is a menu item from the 'Annotation Menu' to show a StarMath annotation (StarOffice, OpenOffice, LibreOffice).\n\nProgramming language used in MathJax.",Maple:"This is a menu item from the 'Annotation Menu' to show a Maple annotation.",ContentMathML:"This is a menu item from the 'Annotation Menu' to show a Content MathML annotation.\n\nThe MathML specification defines two versions: 'presentation' MathML (used in MathJax) and 'content' MathML (describes the semantics of the formula).",OpenMath:"This is a menu item from the 'Annotation Menu' to show the OpenMath annotation, an XML representation similar to Content MathML.",texHints:"This menu option from 'Show math as' adds comments to the code produced by 'MathMLCode'.\n\nUsed as checkbox label in the menu.",Settings:"'Math settings' menu item.",ZoomTrigger:"This menu from 'Math Settings' determines how MathJax's zoom is triggered.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-Hover}}\n* {{msg-mathjax|Mathmenu-Click}}\n* {{msg-mathjax|Mathmenu-DoubleClick}}\n* {{msg-mathjax|Mathmenu-NoZoom}}\n* {{msg-mathjax|Mathmenu-TriggerRequires}} - label for the following checkboxes\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Hover:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when the mouse pass over a formula.",Click:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one clicks on a formula.\n{{Identical|Click}}",DoubleClick:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one double-clicks on a formula.",NoZoom:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is never triggered.",TriggerRequires:"This menu text from {{msg-mathjax|Mathmenu-ZoomTrigger}} describes if the ZoomTrigger requires additional keys.\n\nThe label is followed by the following menu items:\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-Mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Option:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the OPTION key is needed (Apple-style).\n{{Identical|Options}}",Alt:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the ALT key is needed (Windows-style)",Command:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the COMMAND key is needed (Apple-style).\n{{Identical|Command}}",Control:'This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the CONTROL key is needed\n\n"Control key" is also known as "Ctrl key".',Shift:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the SHIFT key is needed",ZoomFactor:"Used as menu item which has the following sub menu items: 125%%, 133%%, 150%%, 175%%, 200%%, 250%%, 300%%, 400%%",Renderer:"Used as menu item which has the following sub menu items:\n* HTML-CSS\n* MathML\n* SVG",MPHandles:"Used as label in the menu.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-MenuEvents}}\n* {{msg-mathjax|Mathmenu-MouseEvents}}\n* {{msg-mathjax|Mathmenu-MenuAndMouse}}",MenuEvents:"Option to let MathPlayer handle the contextual menu selections",MouseEvents:"Option to let MathPlayer handle the mouse clicks",MenuAndMouse:"Option to let MathPlayer handle Mouse and Menu Events",FontPrefs:"This menu item from 'Math Settings' allows selection of the font to use (and is mostly for development purposes) e.g. STIX",ForHTMLCSS:"Used as label in the menu.\n\nFollowed by the following radio box label:\n* {{msg-mathjax|Mathmenu-Auto}}",Auto:"{{Identical|Automatic}}",TeXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXWeb:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXImage:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXWeb:"{{Related|Mathmenu-fonts}}",AsanaMathWeb:"{{Related|Mathmenu-fonts}}",GyrePagellaWeb:"{{Related|Mathmenu-fonts}}",GyreTermesWeb:"{{Related|Mathmenu-fonts}}",LatinModernWeb:"{{Related|Mathmenu-fonts}}",NeoEulerWeb:"{{Related|Mathmenu-fonts}}",ContextMenu:"Used as menu item.\n\nFollowed by the following sub menu items:\n* MathJax - radio box label\n* {{msg-mathjax|Mathmenu-Browser}} - radio box label",Browser:"Used as menu item.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-ContextMenu}}.\n{{Identical|Browser}}",Scale:"This menu item from 'Math Settings' allows users to set a scaling factor for the MathJax output (relative to the surrounding content).",Discoverable:"This menu option indicates whether the formulas should be highlighted when you pass the mouse over them.\n\nUsed as checkbox label in the menu.",Locale:"This menu item from 'Math Settings' allows to select a language. The language names are specified by the 'menuTitle' properties.\n\nThis menu item has the following sub menu items:\n* en\n* {{msg-mathjax|Mathmenu-LoadLocale}}\n{{Identical|Language}}",LoadLocale:"This allows the user to load the translation from a given URL.\n\nUsed as the menu item which has the parent menu item {{msg-mathjax|Mathmenu-Locale}}.",About:"This opens the 'About MathJax' popup.\n\nUsed as menu item.",Help:"This opens the 'MathJax Help' popup",localTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax TeX fonts.\n{{Related|Mathmenu-using}}",webTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Web versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",imagefonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Image versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",localSTIXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax STIX fonts.\n{{Related|Mathmenu-using}}",webSVGfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses SVG MathJax TeX fonts.\n{{Related|Mathmenu-using}}",genericfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local generic fonts.\n{{Related|Mathmenu-using}}",wofforotffonts:"This is from the 'About MathJax' popup. woff/otf are names of font formats",eotffonts:"This is from the 'About MathJax' popup. eot is a name of font format",svgfonts:"This is from the 'About MathJax' popup. svg is a name of font format",WebkitNativeMMLWarning:"This is the WebKit warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIENativeMMLWarning:"This is the IE warning displayed when a user changes the rendering output to native MathML via the MathJax menu and does not have MathPlayer installed.",OperaNativeMMLWarning:"This is the Opera warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",SafariNativeMMLWarning:"This is the Safari warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",FirefoxNativeMMLWarning:"This is the Firefox warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIESVGWarning:"This is the IE warning displayed when a user changes the rendering output to SVG via the MathJax menu and uses an versions of IE.",LoadURL:"This is the prompt message for the 'LoadLocale' menu entry",BadURL:"This is the alert message when a bad URL is specified for 'LoadLocale'.",BadData:"This is the alert message when the translation data specified 'LoadLocale' fails to be loaded. The argument is the URL specified.",SwitchAnyway:"This is appended at the end of switch warnings.\n\nUsed for JavaScript \u003Ccode\u003Econfirm()\u003C/code\u003E.",ScaleMath:"This is the prompt message for the 'Scale all math' menu entry.\n\nUsed for JavaScript \u003Ccode\u003Eprompt()\u003C/code\u003E.",NonZeroScale:"This is the alert message when the scale specified to 'ScaleMath' is zero",PercentScale:"This is the alert message when the scale specified to 'ScaleMath' is not a percentage",IE8warning:"This this the confirm message displayed for when the user chooses to let MathPlayer control the contextual menu (IE8)",IE9warning:"This this the alert message displayed for when the user chooses to let MathPlayer control the contextual menu (IE9)",NoOriginalForm:"This is the alert box displayed when there are missing source formats for {{Msg-mathjax|Mathmenu-Show}}; see also {{Msg-mathjax|Mathmenu-Original}}.",Close:"Closing button in the 'Show math as' window.\n{{Identical|Close}}",EqSource:"This is the title of the 'Show math as' button.\n\nUsed in the \u003Ccode\u003E\u003Cnowiki\u003E\u003Ctitle\u003E\u003C/nowiki\u003E\u003C/code\u003E tag of the new window.",FastPreview:"A checkbox activating two-passrendering with a faster, rougher preview being rendered by the PreviewHTML output.",AssistiveMML:"A checkbox that activates an extension providing invisible but accessible MathML source alongside the rendering.",InTabOrder:"A checkbox to indicate whether MathJax adds a tabindex attribute (with value '0') to its output."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathMenu.js"); +MathJax.Localization.addTranslation("qqq","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",MathMLcode:"This menu item from 'Show math as' shows the MathML code that MathJax has produced internally (sanitized, indented etc.)\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",OriginalMathML:"This menu item from 'Show math as' shows the MathML code as if that was originally in the page source",TeXCommands:"This menu item from 'Show math as' shows the TeX code if that was originally in the page source",AsciiMathInput:"This menu item from 'Show math as' shows the asciimath code if that was originally in the page source",Original:"This menu item from 'Show math as' shows the code that was originally in the page source but has no registered type.\n\nThis can happen when extensions add new input formats but fail to provide an adequate format name.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.\n{{Identical|Original form}}",ErrorMessage:"This menu item from 'Show math as' shows the error message if MathJax fails to process the source.\n{{Identical|Error message}}",Annotation:"This menu item from 'Show math as' allows to access possible annotations attached to a MathML formula.\n{{Identical|Annotation}}",TeX:"This is a menu item from the 'Annotation Menu' to show a TeX annotation.",StarMath:"This is a menu item from the 'Annotation Menu' to show a StarMath annotation (StarOffice, OpenOffice, LibreOffice).\n\nProgramming language used in MathJax.",Maple:"This is a menu item from the 'Annotation Menu' to show a Maple annotation.",ContentMathML:"This is a menu item from the 'Annotation Menu' to show a Content MathML annotation.\n\nThe MathML specification defines two versions: 'presentation' MathML (used in MathJax) and 'content' MathML (describes the semantics of the formula).",OpenMath:"This is a menu item from the 'Annotation Menu' to show the OpenMath annotation, an XML representation similar to Content MathML.",texHints:"This menu option from 'Show math as' adds comments to the code produced by 'MathMLCode'.\n\nUsed as checkbox label in the menu.",Settings:"'Math settings' menu item.",ZoomTrigger:"This menu from 'Math Settings' determines how MathJax's zoom is triggered.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-Hover}}\n* {{msg-mathjax|Mathmenu-Click}}\n* {{msg-mathjax|Mathmenu-DoubleClick}}\n* {{msg-mathjax|Mathmenu-NoZoom}}\n* {{msg-mathjax|Mathmenu-TriggerRequires}} - label for the following checkboxes\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Hover:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when the mouse pass over a formula.",Click:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one clicks on a formula.\n{{Identical|Click}}",DoubleClick:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one double-clicks on a formula.",NoZoom:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is never triggered.",TriggerRequires:"This menu text from {{msg-mathjax|Mathmenu-ZoomTrigger}} describes if the ZoomTrigger requires additional keys.\n\nThe label is followed by the following menu items:\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-Mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Option:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the OPTION key is needed (Apple-style).\n{{Identical|Options}}",Alt:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the ALT key is needed (Windows-style)",Command:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the COMMAND key is needed (Apple-style).\n{{Identical|Command}}",Control:'This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the CONTROL key is needed\n\n"Control key" is also known as "Ctrl key".',Shift:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the SHIFT key is needed",ZoomFactor:"Used as menu item which has the following sub menu items: 125%%, 133%%, 150%%, 175%%, 200%%, 250%%, 300%%, 400%%",Renderer:"Used as menu item which has the following sub menu items:\n* HTML-CSS\n* MathML\n* SVG",MPHandles:"Used as label in the menu.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-MenuEvents}}\n* {{msg-mathjax|Mathmenu-MouseEvents}}\n* {{msg-mathjax|Mathmenu-MenuAndMouse}}",MenuEvents:"Option to let MathPlayer handle the contextual menu selections",MouseEvents:"Option to let MathPlayer handle the mouse clicks",MenuAndMouse:"Option to let MathPlayer handle Mouse and Menu Events",FontPrefs:"This menu item from 'Math Settings' allows selection of the font to use (and is mostly for development purposes) e.g. STIX",ForHTMLCSS:"Used as label in the menu.\n\nFollowed by the following radio box label:\n* {{msg-mathjax|Mathmenu-Auto}}",Auto:"{{Identical|Automatic}}",TeXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXWeb:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXImage:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXWeb:"{{Related|Mathmenu-fonts}}",AsanaMathWeb:"{{Related|Mathmenu-fonts}}",GyrePagellaWeb:"{{Related|Mathmenu-fonts}}",GyreTermesWeb:"{{Related|Mathmenu-fonts}}",LatinModernWeb:"{{Related|Mathmenu-fonts}}",NeoEulerWeb:"{{Related|Mathmenu-fonts}}",ContextMenu:"Used as menu item.\n\nFollowed by the following sub menu items:\n* MathJax - radio box label\n* {{msg-mathjax|Mathmenu-Browser}} - radio box label",Browser:"Used as menu item.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-ContextMenu}}.\n{{Identical|Browser}}",Scale:"This menu item from 'Math Settings' allows users to set a scaling factor for the MathJax output (relative to the surrounding content).",Discoverable:"This menu option indicates whether the formulas should be highlighted when you pass the mouse over them.\n\nUsed as checkbox label in the menu.",Locale:"This menu item from 'Math Settings' allows to select a language. The language names are specified by the 'menuTitle' properties.\n\nThis menu item has the following sub menu items:\n* en\n* {{msg-mathjax|Mathmenu-LoadLocale}}\n{{Identical|Language}}",LoadLocale:"This allows the user to load the translation from a given URL.\n\nUsed as the menu item which has the parent menu item {{msg-mathjax|Mathmenu-Locale}}.",About:"This opens the 'About MathJax' popup.\n\nUsed as menu item.",Help:"This opens the 'MathJax Help' popup",localTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax TeX fonts.\n{{Related|Mathmenu-using}}",webTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Web versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",imagefonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Image versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",localSTIXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax STIX fonts.\n{{Related|Mathmenu-using}}",webSVGfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses SVG MathJax TeX fonts.\n{{Related|Mathmenu-using}}",genericfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local generic fonts.\n{{Related|Mathmenu-using}}",wofforotffonts:"This is from the 'About MathJax' popup. woff/otf are names of font formats",eotffonts:"This is from the 'About MathJax' popup. eot is a name of font format",svgfonts:"This is from the 'About MathJax' popup. svg is a name of font format",WebkitNativeMMLWarning:"This is the WebKit warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIENativeMMLWarning:"This is the IE warning displayed when a user changes the rendering output to native MathML via the MathJax menu and does not have MathPlayer installed.",OperaNativeMMLWarning:"This is the Opera warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",SafariNativeMMLWarning:"This is the Safari warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",FirefoxNativeMMLWarning:"This is the Firefox warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIESVGWarning:"This is the IE warning displayed when a user changes the rendering output to SVG via the MathJax menu and uses an versions of IE.",LoadURL:"This is the prompt message for the 'LoadLocale' menu entry",BadURL:"This is the alert message when a bad URL is specified for 'LoadLocale'.",BadData:"This is the alert message when the translation data specified 'LoadLocale' fails to be loaded. The argument is the URL specified.",SwitchAnyway:"This is appended at the end of switch warnings.\n\nUsed for JavaScript \u003Ccode\u003Econfirm()\u003C/code\u003E.",ScaleMath:"This is the prompt message for the 'Scale all math' menu entry.\n\nUsed for JavaScript \u003Ccode\u003Eprompt()\u003C/code\u003E.",NonZeroScale:"This is the alert message when the scale specified to 'ScaleMath' is zero",PercentScale:"This is the alert message when the scale specified to 'ScaleMath' is not a percentage",IE8warning:"This this the confirm message displayed for when the user chooses to let MathPlayer control the contextual menu (IE8)",IE9warning:"This this the alert message displayed for when the user chooses to let MathPlayer control the contextual menu (IE9)",NoOriginalForm:"This is the alert box displayed when there are missing source formats for {{Msg-mathjax|Mathmenu-Show}}; see also {{Msg-mathjax|Mathmenu-Original}}.",Close:"Closing button in the 'Show math as' window.\n{{Identical|Close}}",EqSource:"This is the title of the 'Show math as' button.\n\nUsed in the \u003Ccode\u003E\u003Cnowiki\u003E\u003Ctitle\u003E\u003C/nowiki\u003E\u003C/code\u003E tag of the new window.",FastPreview:"A checkbox activating two-passrendering with a faster, rougher preview being rendered by the PreviewHTML output.",AssistiveMML:"A checkbox that activates an extension providing invisible but accessible MathML source alongside the rendering.",InTabOrder:"A checkbox to indicate whether MathJax adds a tabindex attribute (with value '0') to its output."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathMenu.js"); diff --git a/localization/qqq/TeX.js b/localization/qqq/TeX.js index b4b62d0395..daf917acf5 100644 --- a/localization/qqq/TeX.js +++ b/localization/qqq/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",ExtraCloseMissingOpen:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( } \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraOpenMissingClose}}",MissingLeftExtraRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\right) \\)\u003C/code\u003E",MissingScript:"This appears in TeX expressions when a superscript or subscript is missing e.g. \u003Ccode\u003Ea^2\u003C/code\u003E or \u003Ccode\u003Ea_2\u003C/code\u003E.",ExtraLeftMissingRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\left( \\)\u003C/code\u003E",Misplaced:"This appears in TeX expressions when an item is misplaced e.g. \u003Ccode\u003E\\( \u0026 \\)\u003C/code\u003E since the ampersand is supposed to be used in tabular expressions.\n\nParameters:\n* %1 - the misplaced item",MissingOpenForSub:"This appears in TeX expressions when a subscript is missing an open brace e.g. \u003Ccode\u003E\\( x__ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSup}}",MissingOpenForSup:"This appears in TeX expressions when a superscript is missing an open brace e.g. \u003Ccode\u003E\\( x^^ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSub}}",AmbiguousUseOf:"This appears in TeX expressions when a command is used in an ambiguous way e.g. \u003Ccode\u003E\\( x \\over y \\over z \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the TeX command",EnvBadEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\begin\u003C/code\u003E and \u003Ccode\u003E\\end\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when environment names do not match e.g. \u003Ccode\u003E\\( \\begin{aligned} \\end{eqarray} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name used for \u003Ccode\u003E\\begin\u003C/code\u003E\n* %2 - the environment name used for \u003Ccode\u003E\\end\u003C/code\u003E",EnvMissingEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\end\u003C/code\u003E, it is a TeX command.}}\nThis appears in TeX expressions when an environment is not closed e.g. \u003Ccode\u003E\\( \\begin{aligned} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003Ealigned\u003C/code\u003E",MissingBoxFor:"This appears in TeX expressions when a command is missing a TeX box e.g. \u003Ccode\u003E\\( \\raise 1pt \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name",MissingCloseBrace:"This appears in TeX expressions when a close brace is missing e.g. \u003Ccode\u003E\\( \\array{ \\)\u003C/code\u003E",UndefinedControlSequence:"This appears in TeX expressions when an undefined control sequence is used. Parameters:\n* %1 - the name of the TeX command",DoubleExponent:"This appears in TeX expressions when an ambiguous double exponent is used e.g. \u003Ccode\u003Ex^3^2\u003C/code\u003E should be \u003Ccode\u003Ex^{3^2}\u003C/code\u003E or \u003Ccode\u003E{x^3}^2\u003C/code\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleSubscripts}}",DoubleSubscripts:"This appears in TeX expressions when an ambiguous double subscripts is used e.g. \u003Ccode\u003Ex_3_2\u003C/code\u003E should be \u003Ccode\u003Ex_{3_2}\u003C/code\u003E or \u003Ccode\u003E{x_3}_2\u003Ccode\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleExponent}}",DoubleExponentPrime:"This appears in TeX expressions when an ambiguous double exponent is caused by a prime e.g. \u003Ccode\u003Ex^a'\u003C/code\u003E should be \u003Ccode\u003E{x^a}'\u003C/code\u003E or \u003Ccode\u003Ex^{a'}\u003C/code\u003E",CantUseHash1:"This appears in TeX expressions when the macro parameter character '#' is used in math mode e.g. \u003Ccode\u003E\\( # \\)\u003C/code\u003E",MisplacedMiddle:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when the \u003Ccode\u003Emiddle\u003C/code\u003E command is used outside \u003Ccode\u003E\\left ... \\right\u003C/code\u003E e.g. \u003Ccode\u003E\\( \\middle| \\)\u003C/code\u003E",MisplacedLimits:"This appears in TeX expressions when the \u003Ccode\u003Elimits\u003C/code\u003E command is not used on an operator e.g. \u003Ccode\u003E\\( \\limits \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\limits\u003C/code\u003E",MisplacedMoveRoot:"This appears in TeX expressions when a move root command is used outside a root e.g. \u003Ccode\u003E\\( \\uproot \\)\u003C/code\u003E.\n\nParameters:\n* %1 - either \u003Ccode\u003E\\uproot\u003C/code\u003E or \u003Ccode\u003E\\leftroot\u003C/code\u003E",MultipleCommand:"This happens when a command or token can only be present once, e.g. \u003Ccode\u003E\\tag{}\u003C/code\u003E. Parameters:\n* %1 - the name of the duplicated command",IntegerArg:"This happens when an unexpected non-integer argument is passed to a command e.g. \u003Ccode\u003E\\uproot\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the command",NotMathMLToken:"MathJax has a non-standard \u003Ccode\u003E\\mmlToken\u003C/code\u003E command to insert MathML token elements.\n\nThis error happens when the tag name is unknown e.g. \u003Ccode\u003E\\mmlToken{INVALID}{x}\u003C/code\u003E",InvalidMathMLAttr:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the parameter is not a valid attribute e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[_INVALID_]{x} \\)\u003C/code\u003E where underscores are forbidden.",UnknownAttrForElement:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the attribute is invalid for the given element e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[INVALIDATTR=\u003Cnowiki\u003E''\u003C/nowiki\u003E]{x} \\)\u003C/code\u003E\n\nParameters:\n* %1 - attribute\n* %2 - ...",MaxMacroSub1:"MathJax limits the number of macro substitutions to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newcommand{\\a}{\\a} \\a\u003C/code\u003E",MaxMacroSub2:"MathJax limits the number of nested environments to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newenvironment{a}{\\begin{a}}{\\end{a}} \\begin{a}\\end{a}\u003C/code\u003E",MissingArgFor:"This happens when an argument is missing e.g. \u003Ccode\u003E\\frac{a}\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\frac\u003C/code\u003E",ExtraAlignTab:"{{doc-important|Do not translate \u003Ccode\u003E\\cases\u003C/code\u003E; it is a TeX command.}}\nThis happens when \u003Ccode\u003E\\cases\u003C/code\u003E has two many columns e.g. \u003Ccode\u003E\\cases{a \u0026 b \u0026 c}\u003C/code\u003E",BracketMustBeDimension:"This happens when a bracket argument of an item is not a dimension e.g. \u003Ccode\u003E\\begin{array} x \\\\[INVALID] y \\end{array}\u003C/code\u003E.\n\nParameters:\n* %1 - e.g. \u003Ccode\u003E\\\u003C/code\u003E",InvalidEnv:"This happens with invalid environment name e.g. \u003Ccode\u003E\\begin{_INVALID_} \\end{_INVALID_}\u003C/code\u003E where underscores are forbidden.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003E_INVALID_\u003C/code\u003E",UnknownEnv:"This happens when an unknown environment is used e.g. \u003Ccode\u003E\\begin{UNKNOWN} \\end{UNKNOWN}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003EUNKNOWN\u003C/code\u003E",ExtraCloseLooking:"This happens in some situations when an extra close brace is found while looking for another character, for example \u003Ccode\u003E\\( \\sqrt['''{{red|\u003Cnowiki\u003E}\u003C/nowiki\u003E}}''']x \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the character searched e.g. \u003Ccode\u003E]\u003C/code\u003E",MissingCloseBracket:"This error happens when a closing '\u003Ccode\u003E]\u003C/code\u003E' is missing e.g. \u003Ccode\u003E\\( \\sqrt[ \\)\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\sqrt\u003C/code\u003E",MissingOrUnrecognizedDelim:"This error happens when a delimiter is missing or unrecognized in a TeX expression e.g. \u003Ccode\u003E\\( \\left \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\left\u003C/code\u003E",MissingDimOrUnits:"This error happens with some TeX commands that are expecting a unit e.g. \u003Ccode\u003E\\above\u003C/code\u003E. Parameters:\n* %1 - the command name",TokenNotFoundForCommand:"This happens while processing a TeX command that is expected to contain a token e.g. \u003Ccode\u003E\\( \\root{x} \\)\u003C/code\u003E where '\u003Ccode\u003E\\of\u003C/code\u003E' should be used.\n\nParameters:\n* %1 - the token not found e.g. \u003Ccode\u003E\\of\u003C/code\u003E\n* %2 - the command being processed e.g. \u003Ccode\u003E\\root\u003C/code\u003E",MathNotTerminated:"This happens when a math is not terminated in a text box e.g. \u003Ccode\u003E\\( \\text{$x} \\)\u003C/code\u003E where the closing dollar is missing.",IllegalMacroParam:"This error happens when an invalid macro parameter reference is used e.g. \u003Ccode\u003E\\( \\def\\mymacro#1{#2} \\mymacro{x} \\)\u003C/code\u003E where '#2' is invalid since \u003Ccode\u003E\\mymacro\u003C/code\u003E has only one parameter.",MaxBufferSize:"The buffer size refers to the memory used by the TeX input processor.\n\nThis error may happen with recursive calls e.g. \u003Ccode\u003E\\( \\newcommand{\\a}{\\a\\a} \\a \\)\u003C/code\u003E.\n\nNote that the number of a's is exponential with respect to the number of recursive calls.\n\nHence 'MaxBufferSize' is likely to happen before 'MaxMacroSub1'",CommandNotAllowedInEnv:"This appears when the \u003Ccode\u003E\\tag\u003C/code\u003E command is used inside an environment that does not allow labelling e.g. \u003Ccode\u003E\\begin{split} x \\tag{x} \\end{split}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\tag\u003C/code\u003E\n* %2 - the name of the environment",MultipleLabel:"This happens when TeX labels are duplicated e.g. \u003Ccode\u003E\\( \\label{x} \\) \\( \\label{x} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - TeX label name",CommandAtTheBeginingOfLine:"This happens when showleft/showright are misplaced. Parameters:\n* %1 - the macro name",IllegalAlign:"This happens when an invalid alignment is specified in \u003Ccode\u003E\\cfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\cfrac[INVALID]{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\cfrac\u003C/code\u003E",BadMathStyleFor:"This happens when an invalid style is specified in \u003Ccode\u003E\\genfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\genfrac{\\{}{\\}}{0pt}{INVALID}{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\genfrac\u003C/code\u003E",PositiveIntegerArg:"This happens when an invalid alignment is specified in the \u003Ccode\u003Ealignedat\u003C/code\u003E environment e.g. \u003Ccode\u003E\\begin{alignedat}{INVALID}\\end{alignedat}\u003C/code\u003E.",ErroneousNestingEq:"This happens when some equation structures are nested in a way forbidden by LaTeX e.g. two nested \u003Ccode\u003Emultline\u003C/code\u003E environment.",MultlineRowsOneCol:"This happens when a row of the \u003Ccode\u003Emultline\u003C/code\u003E environment has more than one column e.g. \u003Ccode\u003E\\begin{multline} x \u0026 y \\end{multline}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name \u003Ccode\u003Emultline\u003C/code\u003E",MultipleBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property e.g. the background color is specified twice.\n\nParameters:\n* %1 - the name of the duplicate property\n* %2 - the command name \u003Ccode\u003E\\bbox\u003C/code\u003E",InvalidBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property is not a color, a padding dimension, or a style.\n\n'padding' is a CSS property name for the 'inner margin' of a box. You may verify on MDN how it is translated in your language.\n\nParameters:\n* %1 - the name of the invalid property specified",ExtraEndMissingBegin:"{{doc-important|Do not translate \u003Ccode\u003E\\begingroup\u003C/code\u003E.}}\nThis appears in TeX expressions when begingroup/endgroup do not match. Parameters:\n* %1 - the command name \u003Ccode\u003E\\endgroup\u003C/code\u003E",GlobalNotFollowedBy:"{{doc-important|Do not translate \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E; they are TeX expressions.}}\nThis appears in TeX expressions when \u003Ccode\u003E\\global\u003C/code\u003E is not followed by \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E",UndefinedColorModel:"An invalid color model is used for the \u003Ccode\u003E\\color\u003C/code\u003E command. Parameters:\n* %1 - the color model specified",ModelArg1:"An invalid color value is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{}{} \\)\u003C/code\u003E\n\nParameters:\n* %1 - color model name",InvalidDecimalNumber:"An invalid decimal number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[rgb]{,,}{} \\)\u003C/code\u003E.\n\nA valid decimal number is such as: 12, 12., 12.34, .34",ModelArg2:"An out-of-range number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{256,,}{} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the color model e.g. \u003Ccode\u003ERGB\u003C/code\u003E\n* %2 - the lower bound of the valid interval e.g. 0 for the RGB color model\n* %3 - the upper bound of the valid interval e.g. 255 for the RGB color model",InvalidNumber:"An invalid number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{,,}{} \\)\u003C/code\u003E.\n\nA valid number is such as: 123",NewextarrowArg1:"Used when the first argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg2:"Used when the second argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg3:"Used when the third argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NoClosingChar:"This is used in TeX mhchem expressions when a closing delimiters is missing e.g. \u003Ccode\u003E\\( \\ce{ -\u003E[ } \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E)\u003C/code\u003E, \u003Ccode\u003E}\u003C/code\u003E, or \u003Ccode\u003E]\u003C/code\u003E",IllegalControlSequenceName:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal control sequence name.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",IllegalParamNumber:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal number of parameters.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",MissingCS:"This appears when a TeX definitions is not followed by a control sequence e.g. \u003Ccode\u003E\\let INVALID\u003C/code\u003E.\n\nParameters:\n* %1 - may be commands like \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, \u003Ccode\u003E\\newcommand\u003C/code\u003E, \u003Ccode\u003E\\global\u003C/code\u003E, etc.",CantUseHash2:"This appears when the character '#' is incorrectly used in TeX definitions, e.g. \u003Ccode\u003E\\def\\mycommand{{red|#}}A\u003C/code\u003E.\n\nParameters:\n* %1 - the command used e.g. \u003Ccode\u003Emycommand\u003C/code\u003E",SequentialParam:"This appears in TeX definitions when parameters are not numbered sequentially e.g. \u003Ccode\u003E\\def\\mycommand#2#1\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MissingReplacementString:"This appears in TeX definitions when you don't specify a replacement string e.g. \u003Ccode\u003E\\def\\mycommand\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MismatchUseDef:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1]#2[#3]{#1+#2+#3} \\mycommand{a}{b}[c] \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",RunawayArgument:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1][#2]#3{#1+#2+#3} \\mycommand[a]{b} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",NoClosingDelim:"This appears in TeX expressions when a \u003Ccode\u003E\\verb\u003C/code\u003E command is not closed e.g. \u003Ccode\u003E\\( \\verb?... \\)\u003C/code\u003E is missing a closing question mark.\n\nParameters:\n* %1 - the command name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/TeX.js"); +MathJax.Localization.addTranslation("qqq","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",ExtraCloseMissingOpen:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( } \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraOpenMissingClose}}",MissingLeftExtraRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\right) \\)\u003C/code\u003E",MissingScript:"This appears in TeX expressions when a superscript or subscript is missing e.g. \u003Ccode\u003Ea^2\u003C/code\u003E or \u003Ccode\u003Ea_2\u003C/code\u003E.",ExtraLeftMissingRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\left( \\)\u003C/code\u003E",Misplaced:"This appears in TeX expressions when an item is misplaced e.g. \u003Ccode\u003E\\( \u0026 \\)\u003C/code\u003E since the ampersand is supposed to be used in tabular expressions.\n\nParameters:\n* %1 - the misplaced item",MissingOpenForSub:"This appears in TeX expressions when a subscript is missing an open brace e.g. \u003Ccode\u003E\\( x__ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSup}}",MissingOpenForSup:"This appears in TeX expressions when a superscript is missing an open brace e.g. \u003Ccode\u003E\\( x^^ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSub}}",AmbiguousUseOf:"This appears in TeX expressions when a command is used in an ambiguous way e.g. \u003Ccode\u003E\\( x \\over y \\over z \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the TeX command",EnvBadEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\begin\u003C/code\u003E and \u003Ccode\u003E\\end\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when environment names do not match e.g. \u003Ccode\u003E\\( \\begin{aligned} \\end{eqarray} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name used for \u003Ccode\u003E\\begin\u003C/code\u003E\n* %2 - the environment name used for \u003Ccode\u003E\\end\u003C/code\u003E",EnvMissingEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\end\u003C/code\u003E, it is a TeX command.}}\nThis appears in TeX expressions when an environment is not closed e.g. \u003Ccode\u003E\\( \\begin{aligned} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003Ealigned\u003C/code\u003E",MissingBoxFor:"This appears in TeX expressions when a command is missing a TeX box e.g. \u003Ccode\u003E\\( \\raise 1pt \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name",MissingCloseBrace:"This appears in TeX expressions when a close brace is missing e.g. \u003Ccode\u003E\\( \\array{ \\)\u003C/code\u003E",UndefinedControlSequence:"This appears in TeX expressions when an undefined control sequence is used. Parameters:\n* %1 - the name of the TeX command",DoubleExponent:"This appears in TeX expressions when an ambiguous double exponent is used e.g. \u003Ccode\u003Ex^3^2\u003C/code\u003E should be \u003Ccode\u003Ex^{3^2}\u003C/code\u003E or \u003Ccode\u003E{x^3}^2\u003C/code\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleSubscripts}}",DoubleSubscripts:"This appears in TeX expressions when an ambiguous double subscripts is used e.g. \u003Ccode\u003Ex_3_2\u003C/code\u003E should be \u003Ccode\u003Ex_{3_2}\u003C/code\u003E or \u003Ccode\u003E{x_3}_2\u003Ccode\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleExponent}}",DoubleExponentPrime:"This appears in TeX expressions when an ambiguous double exponent is caused by a prime e.g. \u003Ccode\u003Ex^a'\u003C/code\u003E should be \u003Ccode\u003E{x^a}'\u003C/code\u003E or \u003Ccode\u003Ex^{a'}\u003C/code\u003E",CantUseHash1:"This appears in TeX expressions when the macro parameter character '#' is used in math mode e.g. \u003Ccode\u003E\\( # \\)\u003C/code\u003E",MisplacedMiddle:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when the \u003Ccode\u003Emiddle\u003C/code\u003E command is used outside \u003Ccode\u003E\\left ... \\right\u003C/code\u003E e.g. \u003Ccode\u003E\\( \\middle| \\)\u003C/code\u003E",MisplacedLimits:"This appears in TeX expressions when the \u003Ccode\u003Elimits\u003C/code\u003E command is not used on an operator e.g. \u003Ccode\u003E\\( \\limits \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\limits\u003C/code\u003E",MisplacedMoveRoot:"This appears in TeX expressions when a move root command is used outside a root e.g. \u003Ccode\u003E\\( \\uproot \\)\u003C/code\u003E.\n\nParameters:\n* %1 - either \u003Ccode\u003E\\uproot\u003C/code\u003E or \u003Ccode\u003E\\leftroot\u003C/code\u003E",MultipleCommand:"This happens when a command or token can only be present once, e.g. \u003Ccode\u003E\\tag{}\u003C/code\u003E. Parameters:\n* %1 - the name of the duplicated command",IntegerArg:"This happens when an unexpected non-integer argument is passed to a command e.g. \u003Ccode\u003E\\uproot\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the command",NotMathMLToken:"MathJax has a non-standard \u003Ccode\u003E\\mmlToken\u003C/code\u003E command to insert MathML token elements.\n\nThis error happens when the tag name is unknown e.g. \u003Ccode\u003E\\mmlToken{INVALID}{x}\u003C/code\u003E",InvalidMathMLAttr:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the parameter is not a valid attribute e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[_INVALID_]{x} \\)\u003C/code\u003E where underscores are forbidden.",UnknownAttrForElement:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the attribute is invalid for the given element e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[INVALIDATTR=\u003Cnowiki\u003E''\u003C/nowiki\u003E]{x} \\)\u003C/code\u003E\n\nParameters:\n* %1 - attribute\n* %2 - ...",MaxMacroSub1:"MathJax limits the number of macro substitutions to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newcommand{\\a}{\\a} \\a\u003C/code\u003E",MaxMacroSub2:"MathJax limits the number of nested environments to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newenvironment{a}{\\begin{a}}{\\end{a}} \\begin{a}\\end{a}\u003C/code\u003E",MissingArgFor:"This happens when an argument is missing e.g. \u003Ccode\u003E\\frac{a}\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\frac\u003C/code\u003E",ExtraAlignTab:"{{doc-important|Do not translate \u003Ccode\u003E\\cases\u003C/code\u003E; it is a TeX command.}}\nThis happens when \u003Ccode\u003E\\cases\u003C/code\u003E has two many columns e.g. \u003Ccode\u003E\\cases{a \u0026 b \u0026 c}\u003C/code\u003E",BracketMustBeDimension:"This happens when a bracket argument of an item is not a dimension e.g. \u003Ccode\u003E\\begin{array} x \\\\[INVALID] y \\end{array}\u003C/code\u003E.\n\nParameters:\n* %1 - e.g. \u003Ccode\u003E\\\u003C/code\u003E",InvalidEnv:"This happens with invalid environment name e.g. \u003Ccode\u003E\\begin{_INVALID_} \\end{_INVALID_}\u003C/code\u003E where underscores are forbidden.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003E_INVALID_\u003C/code\u003E",UnknownEnv:"This happens when an unknown environment is used e.g. \u003Ccode\u003E\\begin{UNKNOWN} \\end{UNKNOWN}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003EUNKNOWN\u003C/code\u003E",ExtraCloseLooking:"This happens in some situations when an extra close brace is found while looking for another character, for example \u003Ccode\u003E\\( \\sqrt['''{{red|\u003Cnowiki\u003E}\u003C/nowiki\u003E}}''']x \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the character searched e.g. \u003Ccode\u003E]\u003C/code\u003E",MissingCloseBracket:"This error happens when a closing '\u003Ccode\u003E]\u003C/code\u003E' is missing e.g. \u003Ccode\u003E\\( \\sqrt[ \\)\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\sqrt\u003C/code\u003E",MissingOrUnrecognizedDelim:"This error happens when a delimiter is missing or unrecognized in a TeX expression e.g. \u003Ccode\u003E\\( \\left \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\left\u003C/code\u003E",MissingDimOrUnits:"This error happens with some TeX commands that are expecting a unit e.g. \u003Ccode\u003E\\above\u003C/code\u003E. Parameters:\n* %1 - the command name",TokenNotFoundForCommand:"This happens while processing a TeX command that is expected to contain a token e.g. \u003Ccode\u003E\\( \\root{x} \\)\u003C/code\u003E where '\u003Ccode\u003E\\of\u003C/code\u003E' should be used.\n\nParameters:\n* %1 - the token not found e.g. \u003Ccode\u003E\\of\u003C/code\u003E\n* %2 - the command being processed e.g. \u003Ccode\u003E\\root\u003C/code\u003E",MathNotTerminated:"This happens when a math is not terminated in a text box e.g. \u003Ccode\u003E\\( \\text{$x} \\)\u003C/code\u003E where the closing dollar is missing.",IllegalMacroParam:"This error happens when an invalid macro parameter reference is used e.g. \u003Ccode\u003E\\( \\def\\mymacro#1{#2} \\mymacro{x} \\)\u003C/code\u003E where '#2' is invalid since \u003Ccode\u003E\\mymacro\u003C/code\u003E has only one parameter.",MaxBufferSize:"The buffer size refers to the memory used by the TeX input processor.\n\nThis error may happen with recursive calls e.g. \u003Ccode\u003E\\( \\newcommand{\\a}{\\a\\a} \\a \\)\u003C/code\u003E.\n\nNote that the number of a's is exponential with respect to the number of recursive calls.\n\nHence 'MaxBufferSize' is likely to happen before 'MaxMacroSub1'",CommandNotAllowedInEnv:"This appears when the \u003Ccode\u003E\\tag\u003C/code\u003E command is used inside an environment that does not allow labelling e.g. \u003Ccode\u003E\\begin{split} x \\tag{x} \\end{split}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\tag\u003C/code\u003E\n* %2 - the name of the environment",MultipleLabel:"This happens when TeX labels are duplicated e.g. \u003Ccode\u003E\\( \\label{x} \\) \\( \\label{x} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - TeX label name",CommandAtTheBeginingOfLine:"This happens when showleft/showright are misplaced. Parameters:\n* %1 - the macro name",IllegalAlign:"This happens when an invalid alignment is specified in \u003Ccode\u003E\\cfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\cfrac[INVALID]{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\cfrac\u003C/code\u003E",BadMathStyleFor:"This happens when an invalid style is specified in \u003Ccode\u003E\\genfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\genfrac{\\{}{\\}}{0pt}{INVALID}{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\genfrac\u003C/code\u003E",PositiveIntegerArg:"This happens when an invalid alignment is specified in the \u003Ccode\u003Ealignedat\u003C/code\u003E environment e.g. \u003Ccode\u003E\\begin{alignedat}{INVALID}\\end{alignedat}\u003C/code\u003E.",ErroneousNestingEq:"This happens when some equation structures are nested in a way forbidden by LaTeX e.g. two nested \u003Ccode\u003Emultline\u003C/code\u003E environment.",MultlineRowsOneCol:"This happens when a row of the \u003Ccode\u003Emultline\u003C/code\u003E environment has more than one column e.g. \u003Ccode\u003E\\begin{multline} x \u0026 y \\end{multline}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name \u003Ccode\u003Emultline\u003C/code\u003E",MultipleBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property e.g. the background color is specified twice.\n\nParameters:\n* %1 - the name of the duplicate property\n* %2 - the command name \u003Ccode\u003E\\bbox\u003C/code\u003E",InvalidBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property is not a color, a padding dimension, or a style.\n\n'padding' is a CSS property name for the 'inner margin' of a box. You may verify on MDN how it is translated in your language.\n\nParameters:\n* %1 - the name of the invalid property specified",ExtraEndMissingBegin:"{{doc-important|Do not translate \u003Ccode\u003E\\begingroup\u003C/code\u003E.}}\nThis appears in TeX expressions when begingroup/endgroup do not match. Parameters:\n* %1 - the command name \u003Ccode\u003E\\endgroup\u003C/code\u003E",GlobalNotFollowedBy:"{{doc-important|Do not translate \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E; they are TeX expressions.}}\nThis appears in TeX expressions when \u003Ccode\u003E\\global\u003C/code\u003E is not followed by \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E",UndefinedColorModel:"An invalid color model is used for the \u003Ccode\u003E\\color\u003C/code\u003E command. Parameters:\n* %1 - the color model specified",ModelArg1:"An invalid color value is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{}{} \\)\u003C/code\u003E\n\nParameters:\n* %1 - color model name",InvalidDecimalNumber:"An invalid decimal number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[rgb]{,,}{} \\)\u003C/code\u003E.\n\nA valid decimal number is such as: 12, 12., 12.34, .34",ModelArg2:"An out-of-range number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{256,,}{} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the color model e.g. \u003Ccode\u003ERGB\u003C/code\u003E\n* %2 - the lower bound of the valid interval e.g. 0 for the RGB color model\n* %3 - the upper bound of the valid interval e.g. 255 for the RGB color model",InvalidNumber:"An invalid number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{,,}{} \\)\u003C/code\u003E.\n\nA valid number is such as: 123",NewextarrowArg1:"Used when the first argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg2:"Used when the second argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg3:"Used when the third argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NoClosingChar:"This is used in TeX mhchem expressions when a closing delimiters is missing e.g. \u003Ccode\u003E\\( \\ce{ -\u003E[ } \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E)\u003C/code\u003E, \u003Ccode\u003E}\u003C/code\u003E, or \u003Ccode\u003E]\u003C/code\u003E",IllegalControlSequenceName:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal control sequence name.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",IllegalParamNumber:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal number of parameters.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",MissingCS:"This appears when a TeX definitions is not followed by a control sequence e.g. \u003Ccode\u003E\\let INVALID\u003C/code\u003E.\n\nParameters:\n* %1 - may be commands like \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, \u003Ccode\u003E\\newcommand\u003C/code\u003E, \u003Ccode\u003E\\global\u003C/code\u003E, etc.",CantUseHash2:"This appears when the character '#' is incorrectly used in TeX definitions, e.g. \u003Ccode\u003E\\def\\mycommand{{red|#}}A\u003C/code\u003E.\n\nParameters:\n* %1 - the command used e.g. \u003Ccode\u003Emycommand\u003C/code\u003E",SequentialParam:"This appears in TeX definitions when parameters are not numbered sequentially e.g. \u003Ccode\u003E\\def\\mycommand#2#1\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MissingReplacementString:"This appears in TeX definitions when you don't specify a replacement string e.g. \u003Ccode\u003E\\def\\mycommand\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MismatchUseDef:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1]#2[#3]{#1+#2+#3} \\mycommand{a}{b}[c] \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",RunawayArgument:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1][#2]#3{#1+#2+#3} \\mycommand[a]{b} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",NoClosingDelim:"This appears in TeX expressions when a \u003Ccode\u003E\\verb\u003C/code\u003E command is not closed e.g. \u003Ccode\u003E\\( \\verb?... \\)\u003C/code\u003E is missing a closing question mark.\n\nParameters:\n* %1 - the command name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/TeX.js"); diff --git a/localization/qqq/qqq.js b/localization/qqq/qqq.js index 40c6046bfb..d2407ee016 100644 --- a/localization/qqq/qqq.js +++ b/localization/qqq/qqq.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("qqq",null,{menuTitle:"Message Documentation",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",MathProcessingError:"This message appears when a Javascript error happens during the processing of a mathematical element.",MathError:"This message appears instead of 'Math Processing Error' when the obsolete Accessible configuration is used.",LoadFile:"This appears in the MathJax message box when a file is loading. Parameters:\n* %1 - the file name\n{{Identical|Loading}}",Loading:"This appears in the MathJax message box when a file is loading and the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Loading}}",LoadFailed:"This appears in the MathJax message box when a file fails to load. Parameters:\n* %1 - the file name",ProcessMath:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format.\n\nParameters:\n* %1 - a percentage",Processing:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Processing}}",TypesetMath:"This appears in the MathJax message box during the layout process of converting the internal format to the output format.\n\nParameters:\n* %1 - a percentage",Typesetting:"This appears in the MathJax message box during the layout process of converting the internal format to the output format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",MathJaxNotSupported:"This appears in the MathJax message box when MathJax determines the browser does not have adequate features.",ErrorTips:"Debugging tips that appear in 'Show Math As' pop-ups if a rendering error occured."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/qqq.js"); +MathJax.Localization.addTranslation("qqq",null,{menuTitle:"Message Documentation",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",MathProcessingError:"This message appears when a Javascript error happens during the processing of a mathematical element.",MathError:"This message appears instead of 'Math Processing Error' when the obsolete Accessible configuration is used.",LoadFile:"This appears in the MathJax message box when a file is loading. Parameters:\n* %1 - the file name\n{{Identical|Loading}}",Loading:"This appears in the MathJax message box when a file is loading and the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Loading}}",LoadFailed:"This appears in the MathJax message box when a file fails to load. Parameters:\n* %1 - the file name",ProcessMath:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format.\n\nParameters:\n* %1 - a percentage",Processing:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Processing}}",TypesetMath:"This appears in the MathJax message box during the layout process of converting the internal format to the output format.\n\nParameters:\n* %1 - a percentage",Typesetting:"This appears in the MathJax message box during the layout process of converting the internal format to the output format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",MathJaxNotSupported:"This appears in the MathJax message box when MathJax determines the browser does not have adequate features.",ErrorTips:"Debugging tips that appear in 'Show Math As' pop-ups if a rendering error occured."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/qqq.js"); diff --git a/localization/ru/FontWarnings.js b/localization/ru/FontWarnings.js index 65baf4edfe..0bd7ec01c1 100644 --- a/localization/ru/FontWarnings.js +++ b/localization/ru/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.",imageFonts:"MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0430\u00A0\u043D\u0435\u00A0\u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0438\u043B\u0438\u00A0\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435. \u042D\u0442\u043E \u0437\u0430\u043C\u0435\u0434\u043B\u044F\u0435\u0442 \u043F\u043E\u043A\u0430\u0437 \u0444\u043E\u0440\u043C\u0443\u043B, \u043A\u0440\u043E\u043C\u0435 \u0442\u043E\u0433\u043E, \u043E\u043D\u0438 \u043C\u043E\u0433\u0443\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0442\u044C\u0441\u044F \u0441\u00A0\u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043D\u0438\u0435\u043C \u043C\u0435\u043D\u044C\u0448\u0438\u043C, \u0447\u0435\u043C\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u043F\u0440\u0438\u043D\u0442\u0435\u0440.",noFonts:"MathJax \u043D\u0435\u00A0\u0441\u0443\u043C\u0435\u043B \u043F\u043E\u0434\u043E\u0431\u0440\u0430\u0442\u044C \u0448\u0440\u0438\u0444\u0442 \u0434\u043B\u044F\u00A0\u0432\u044B\u0432\u043E\u0434\u0430 \u0444\u043E\u0440\u043C\u0443\u043B, \u0430\u00A0\u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u043E\u043D \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u044B Unicode, \u0432\u00A0\u043D\u0430\u0434\u0435\u0436\u0434\u0435, \u0447\u0442\u043E\u00A0\u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u0441\u043C\u043E\u0436\u0435\u0442 \u0438\u0445 \u043F\u043E\u043A\u0430\u0437\u0430\u0442\u044C. \u041D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0435, \u0438\u043B\u0438 \u0434\u0430\u0436\u0435 \u0432\u0441\u0435, \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u043D\u0435\u00A0\u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C\u0441\u044F.",webFonts:"\u0411\u043E\u043B\u044C\u0448\u0430\u044F \u0447\u0430\u0441\u0442\u044C \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u0445 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u043E\u0432 \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u0442\u044C \u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B. \u0415\u0441\u043B\u0438\u00A0\u043E\u0431\u043D\u043E\u0432\u0438\u0442\u044C \u0438\u043B\u0438\u00A0\u0441\u043C\u0435\u043D\u0438\u0442\u044C \u0431\u0440\u0430\u0443\u0437\u0435\u0440, \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043B\u0443\u0447\u0448\u0435.",fonts:"MathJax \u043C\u043E\u0436\u0435\u0442 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0438\u043B\u0438 [STIX fonts](%1) \u0438\u043B\u0438 [MathJax TeX fonts](%2). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u043E\u0434\u043D\u043E \u0438\u0437\u00A0\u0434\u0432\u0443\u0445, \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",STIXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [STIX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax.",TeXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [MathJax TeX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/FontWarnings.js"); +MathJax.Localization.addTranslation("ru","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.",imageFonts:"MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0430\u00A0\u043D\u0435\u00A0\u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0438\u043B\u0438\u00A0\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435. \u042D\u0442\u043E \u0437\u0430\u043C\u0435\u0434\u043B\u044F\u0435\u0442 \u043F\u043E\u043A\u0430\u0437 \u0444\u043E\u0440\u043C\u0443\u043B, \u043A\u0440\u043E\u043C\u0435 \u0442\u043E\u0433\u043E, \u043E\u043D\u0438 \u043C\u043E\u0433\u0443\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0442\u044C\u0441\u044F \u0441\u00A0\u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043D\u0438\u0435\u043C \u043C\u0435\u043D\u044C\u0448\u0438\u043C, \u0447\u0435\u043C\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u043F\u0440\u0438\u043D\u0442\u0435\u0440.",noFonts:"MathJax \u043D\u0435\u00A0\u0441\u0443\u043C\u0435\u043B \u043F\u043E\u0434\u043E\u0431\u0440\u0430\u0442\u044C \u0448\u0440\u0438\u0444\u0442 \u0434\u043B\u044F\u00A0\u0432\u044B\u0432\u043E\u0434\u0430 \u0444\u043E\u0440\u043C\u0443\u043B, \u0430\u00A0\u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u043E\u043D \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u044B Unicode, \u0432\u00A0\u043D\u0430\u0434\u0435\u0436\u0434\u0435, \u0447\u0442\u043E\u00A0\u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u0441\u043C\u043E\u0436\u0435\u0442 \u0438\u0445 \u043F\u043E\u043A\u0430\u0437\u0430\u0442\u044C. \u041D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0435, \u0438\u043B\u0438 \u0434\u0430\u0436\u0435 \u0432\u0441\u0435, \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u043D\u0435\u00A0\u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C\u0441\u044F.",webFonts:"\u0411\u043E\u043B\u044C\u0448\u0430\u044F \u0447\u0430\u0441\u0442\u044C \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u0445 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u043E\u0432 \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u0442\u044C \u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B. \u0415\u0441\u043B\u0438\u00A0\u043E\u0431\u043D\u043E\u0432\u0438\u0442\u044C \u0438\u043B\u0438\u00A0\u0441\u043C\u0435\u043D\u0438\u0442\u044C \u0431\u0440\u0430\u0443\u0437\u0435\u0440, \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043B\u0443\u0447\u0448\u0435.",fonts:"MathJax \u043C\u043E\u0436\u0435\u0442 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0438\u043B\u0438 [STIX fonts](%1) \u0438\u043B\u0438 [MathJax TeX fonts](%2). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u043E\u0434\u043D\u043E \u0438\u0437\u00A0\u0434\u0432\u0443\u0445, \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",STIXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [STIX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax.",TeXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [MathJax TeX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/FontWarnings.js"); diff --git a/localization/ru/HTML-CSS.js b/localization/ru/HTML-CSS.js index 2ce051bf20..04b98c420c 100644 --- a/localization/ru/HTML-CSS.js +++ b/localization/ru/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",CantLoadWebFont:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u0441 \u0443\u0434\u0430\u043B\u0451\u043D\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0430",CantFindFontUsing:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0448\u0440\u0438\u0444\u0442 \u0441\u0440\u0435\u0434\u0438 %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B \u2014 \u0432\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430 \u043E\u0441\u043D\u043E\u0432\u0435 \u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0439"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HTML-CSS.js"); +MathJax.Localization.addTranslation("ru","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",CantLoadWebFont:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u0441 \u0443\u0434\u0430\u043B\u0451\u043D\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0430",CantFindFontUsing:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0448\u0440\u0438\u0444\u0442 \u0441\u0440\u0435\u0434\u0438 %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B \u2014 \u0432\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430 \u043E\u0441\u043D\u043E\u0432\u0435 \u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0439"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HTML-CSS.js"); diff --git a/localization/ru/HelpDialog.js b/localization/ru/HelpDialog.js index c4bb1bd8d0..e6e01511fd 100644 --- a/localization/ru/HelpDialog.js +++ b/localization/ru/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax",MathJax:"*MathJax*\u00A0\u2014 \u0431\u0438\u0431\u043B\u0438\u043E\u0442\u0435\u043A\u0430 \u043D\u0430\u00A0JavaScript, \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0449\u0430\u044F \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0445. \u0418\u0445\u00A0\u0447\u0438\u0442\u0430\u0442\u0435\u043B\u044F\u043C \u0434\u043B\u044F\u00A0\u044D\u0442\u043E\u0433\u043E \u043D\u0438\u0447\u0435\u0433\u043E \u043D\u0435\u00A0\u043D\u0430\u0434\u043E \u0434\u0435\u043B\u0430\u0442\u044C.",Browsers:"*\u0411\u0440\u0430\u0443\u0437\u0435\u0440\u044B*: MathJax \u0440\u0430\u0431\u043E\u0442\u0430\u0435\u0442 \u0441\u043E\u00A0\u0432\u0441\u0435\u043C\u0438 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u043C\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044F IE6+, Firefox 3+, Chrome 0.2+, Safari 2+. Opera 9.6+ \u0438\u00A0\u0431\u043E\u043B\u044C\u0448\u0438\u043D\u0441\u0442\u0432\u043E \u043C\u043E\u0431\u0438\u043B\u044C\u043D\u044B\u0445",Menu:"*\u041C\u0435\u043D\u044E \u0444\u043E\u0440\u043C\u0443\u043B*: MathJax \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u0442 \u043A\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u0430\u043C \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E, \u0432\u044B\u0437\u044B\u0432\u0430\u0435\u043C\u043E\u0435 \u043F\u0440\u0430\u0432\u043E\u0439 \u043A\u043D\u043E\u043F\u043A\u043E\u0439 \u043C\u044B\u0448\u0438 \u0438\u043B\u0438\u00A0\u0449\u0435\u043B\u0447\u043A\u043E\u043C \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Ctrl.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443 \u043A\u0430\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0438\u0434\u0435\u0442\u044C \u0438\u00A0\u0441\u043A\u043E\u043F\u0438\u0440\u043E\u0432\u0430\u0442\u044C \u0438\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0444\u043E\u0440\u043C\u0430\u0442\u0435 MathML \u0438\u043B\u0438\u00A0\u043F\u0435\u0440\u0432\u043E\u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u043C.",Settings:"*\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u043D\u0430\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0442\u044C \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438 MathJax, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0440\u0430\u0437\u043C\u0435\u0440 \u0444\u043E\u0440\u043C\u0443\u043B \u0438\u00A0\u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u0438\u0445\u00A0\u043F\u043E\u043A\u0430\u0437\u0430.",Language:"*\u042F\u0437\u044B\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0432\u044B\u0431\u0440\u0430\u0442\u044C \u044F\u0437\u044B\u043A \u043C\u0435\u043D\u044E \u0438\u00A0\u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 MathJax.",Zoom:"*\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443.",Accessibilty:"*\u0421\u043F\u0435\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0435 \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u044B \u0447\u0442\u0435\u043D\u0438\u044F, \u043E\u0437\u0432\u0443\u0447\u0438\u0432\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0434\u043B\u044F\u00A0\u0441\u043B\u0435\u043F\u044B\u0445 \u0438\u00A0\u0441\u043B\u0430\u0431\u043E\u0432\u0438\u0434\u044F\u0449\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u044B*: MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0435\u0441\u043B\u0438\u00A0\u043E\u043D\u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u043C \u043A\u043E\u043C\u043F\u044C\u044E\u0442\u0435\u0440\u0435, \u0432\u00A0\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u044E\u0442\u0441\u044F \u0441\u0435\u0442\u0435\u0432\u044B\u0435. \u041C\u044B \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C [STIX fonts](%1), \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",CloseDialog:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 \u0441\u043F\u0440\u0430\u0432\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HelpDialog.js"); +MathJax.Localization.addTranslation("ru","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax",MathJax:"*MathJax*\u00A0\u2014 \u0431\u0438\u0431\u043B\u0438\u043E\u0442\u0435\u043A\u0430 \u043D\u0430\u00A0JavaScript, \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0449\u0430\u044F \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0445. \u0418\u0445\u00A0\u0447\u0438\u0442\u0430\u0442\u0435\u043B\u044F\u043C \u0434\u043B\u044F\u00A0\u044D\u0442\u043E\u0433\u043E \u043D\u0438\u0447\u0435\u0433\u043E \u043D\u0435\u00A0\u043D\u0430\u0434\u043E \u0434\u0435\u043B\u0430\u0442\u044C.",Browsers:"*\u0411\u0440\u0430\u0443\u0437\u0435\u0440\u044B*: MathJax \u0440\u0430\u0431\u043E\u0442\u0430\u0435\u0442 \u0441\u043E\u00A0\u0432\u0441\u0435\u043C\u0438 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u043C\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044F IE6+, Firefox 3+, Chrome 0.2+, Safari 2+. Opera 9.6+ \u0438\u00A0\u0431\u043E\u043B\u044C\u0448\u0438\u043D\u0441\u0442\u0432\u043E \u043C\u043E\u0431\u0438\u043B\u044C\u043D\u044B\u0445",Menu:"*\u041C\u0435\u043D\u044E \u0444\u043E\u0440\u043C\u0443\u043B*: MathJax \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u0442 \u043A\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u0430\u043C \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E, \u0432\u044B\u0437\u044B\u0432\u0430\u0435\u043C\u043E\u0435 \u043F\u0440\u0430\u0432\u043E\u0439 \u043A\u043D\u043E\u043F\u043A\u043E\u0439 \u043C\u044B\u0448\u0438 \u0438\u043B\u0438\u00A0\u0449\u0435\u043B\u0447\u043A\u043E\u043C \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Ctrl.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443 \u043A\u0430\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0438\u0434\u0435\u0442\u044C \u0438\u00A0\u0441\u043A\u043E\u043F\u0438\u0440\u043E\u0432\u0430\u0442\u044C \u0438\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0444\u043E\u0440\u043C\u0430\u0442\u0435 MathML \u0438\u043B\u0438\u00A0\u043F\u0435\u0440\u0432\u043E\u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u043C.",Settings:"*\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u043D\u0430\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0442\u044C \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438 MathJax, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0440\u0430\u0437\u043C\u0435\u0440 \u0444\u043E\u0440\u043C\u0443\u043B \u0438\u00A0\u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u0438\u0445\u00A0\u043F\u043E\u043A\u0430\u0437\u0430.",Language:"*\u042F\u0437\u044B\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0432\u044B\u0431\u0440\u0430\u0442\u044C \u044F\u0437\u044B\u043A \u043C\u0435\u043D\u044E \u0438\u00A0\u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 MathJax.",Zoom:"*\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443.",Accessibilty:"*\u0421\u043F\u0435\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0435 \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u044B \u0447\u0442\u0435\u043D\u0438\u044F, \u043E\u0437\u0432\u0443\u0447\u0438\u0432\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0434\u043B\u044F\u00A0\u0441\u043B\u0435\u043F\u044B\u0445 \u0438\u00A0\u0441\u043B\u0430\u0431\u043E\u0432\u0438\u0434\u044F\u0449\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u044B*: MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0435\u0441\u043B\u0438\u00A0\u043E\u043D\u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u043C \u043A\u043E\u043C\u043F\u044C\u044E\u0442\u0435\u0440\u0435, \u0432\u00A0\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u044E\u0442\u0441\u044F \u0441\u0435\u0442\u0435\u0432\u044B\u0435. \u041C\u044B \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C [STIX fonts](%1), \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",CloseDialog:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 \u0441\u043F\u0440\u0430\u0432\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HelpDialog.js"); diff --git a/localization/ru/MathML.js b/localization/ru/MathML.js index c89359553b..62ee44a399 100644 --- a/localization/ru/MathML.js +++ b/localization/ru/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1",BadMglyphFont:"\u041F\u043B\u043E\u0445\u043E\u0439 \u0448\u0440\u0438\u0444\u0442: %1",MathPlayer:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u0442\u044C MathPlayer.\n\n\u0415\u0441\u043B\u0438\u00A0MathPlayer \u043D\u0435\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435. \u0415\u0441\u043B\u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0432\u0435\u0440\u043E\u044F\u0442\u043D\u043E, \u0412\u0430\u0448\u0438 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 \u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u0438 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u0437\u0430\u043F\u0443\u0441\u043A ActiveX. \u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB \u0438\u00A0\u0443\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u0438\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B ActiveX \u0438\u00A0\u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0435 \u0434\u0432\u043E\u0438\u0447\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430 \u0438\u00A0\u0441\u0446\u0435\u043D\u0430\u0440\u0438\u0435\u0432 \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B.\n\n\u0421\u0435\u0439\u0447\u0430\u0441 \u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u0432\u0438\u0434\u0435\u0442\u044C \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043E\u0431\u00A0\u043E\u0448\u0438\u0431\u043A\u0430\u0445, \u0430\u00A0\u043D\u0435\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u044B.",CantCreateXMLParser:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u0441\u043E\u0437\u0434\u0430\u0442\u044C \u043F\u0430\u0440\u0441\u0435\u0440 XML \u0434\u043B\u044F\u00A0MathML. \u0423\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u044D\u043B\u0435\u043C\u0435\u043D\u0442\u044B ActiveX, \u043E\u0442\u043C\u0435\u0447\u0435\u043D\u043D\u044B\u0435 \u043A\u0430\u043A\u00A0\u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u044B\u0435 \u0434\u043B\u044F\u00A0\u0441\u043A\u0440\u0438\u043F\u0442\u043E\u0432, \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B (\u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB).\n\nMathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0432\u0435\u0441\u0442\u0438 \u0444\u043E\u0440\u043C\u0443\u043B\u044B MathML.",UnknownNodeType:"\u041D\u0435\u0438\u0437\u043C\u0435\u0441\u0442\u043D\u044B\u0439 \u0442\u044D\u0433 %1",UnexpectedTextNode:"\u0422\u0435\u043A\u0441\u0442\u043E\u0432\u044B\u0439 \u0443\u0437\u0435\u043B %1 \u0432\u00A0\u044D\u0442\u043E\u043C \u043C\u0435\u0441\u0442\u0435 \u043D\u0435\u00A0\u043E\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044F",ErrorParsingMathML:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML",ParsingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML: %1",MathMLSingleElement:"MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0442\u044C \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0434\u0438\u043D \u0442\u044D\u0433 \u003Cmath\u003E",MathMLRootElement:"\u041A\u043E\u0440\u043D\u0435\u0432\u044B\u043C \u0443\u0437\u043B\u043E\u043C MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u003Cmath\u003E, \u043D\u0435\u00A0%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathML.js"); +MathJax.Localization.addTranslation("ru","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1",BadMglyphFont:"\u041F\u043B\u043E\u0445\u043E\u0439 \u0448\u0440\u0438\u0444\u0442: %1",MathPlayer:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u0442\u044C MathPlayer.\n\n\u0415\u0441\u043B\u0438\u00A0MathPlayer \u043D\u0435\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435. \u0415\u0441\u043B\u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0432\u0435\u0440\u043E\u044F\u0442\u043D\u043E, \u0412\u0430\u0448\u0438 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 \u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u0438 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u0437\u0430\u043F\u0443\u0441\u043A ActiveX. \u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB \u0438\u00A0\u0443\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u0438\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B ActiveX \u0438\u00A0\u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0435 \u0434\u0432\u043E\u0438\u0447\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430 \u0438\u00A0\u0441\u0446\u0435\u043D\u0430\u0440\u0438\u0435\u0432 \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B.\n\n\u0421\u0435\u0439\u0447\u0430\u0441 \u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u0432\u0438\u0434\u0435\u0442\u044C \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043E\u0431\u00A0\u043E\u0448\u0438\u0431\u043A\u0430\u0445, \u0430\u00A0\u043D\u0435\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u044B.",CantCreateXMLParser:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u0441\u043E\u0437\u0434\u0430\u0442\u044C \u043F\u0430\u0440\u0441\u0435\u0440 XML \u0434\u043B\u044F\u00A0MathML. \u0423\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u044D\u043B\u0435\u043C\u0435\u043D\u0442\u044B ActiveX, \u043E\u0442\u043C\u0435\u0447\u0435\u043D\u043D\u044B\u0435 \u043A\u0430\u043A\u00A0\u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u044B\u0435 \u0434\u043B\u044F\u00A0\u0441\u043A\u0440\u0438\u043F\u0442\u043E\u0432, \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B (\u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB).\n\nMathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0432\u0435\u0441\u0442\u0438 \u0444\u043E\u0440\u043C\u0443\u043B\u044B MathML.",UnknownNodeType:"\u041D\u0435\u0438\u0437\u043C\u0435\u0441\u0442\u043D\u044B\u0439 \u0442\u044D\u0433 %1",UnexpectedTextNode:"\u0422\u0435\u043A\u0441\u0442\u043E\u0432\u044B\u0439 \u0443\u0437\u0435\u043B %1 \u0432\u00A0\u044D\u0442\u043E\u043C \u043C\u0435\u0441\u0442\u0435 \u043D\u0435\u00A0\u043E\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044F",ErrorParsingMathML:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML",ParsingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML: %1",MathMLSingleElement:"MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0442\u044C \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0434\u0438\u043D \u0442\u044D\u0433 \u003Cmath\u003E",MathMLRootElement:"\u041A\u043E\u0440\u043D\u0435\u0432\u044B\u043C \u0443\u0437\u043B\u043E\u043C MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u003Cmath\u003E, \u043D\u0435\u00A0%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathML.js"); diff --git a/localization/ru/MathMenu.js b/localization/ru/MathMenu.js index d8d92cd7e2..4607a77fff 100644 --- a/localization/ru/MathMenu.js +++ b/localization/ru/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u044C\u043D\u044B\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B TeX",AsciiMathInput:"\u0412\u0432\u043E\u0434 AsciiMathML",Original:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u0432\u0438\u0434",ErrorMessage:"\u0421\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u043E\u0431 \u043E\u0448\u0438\u0431\u043A\u0435",Annotation:"\u0410\u043D\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043C\u044B\u0441\u043B\u043E\u0432\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0442\u043A\u0430",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u043C\u043C\u0435\u043D\u0442\u0430\u0440\u0438\u0438 \u0438\u0437 TeX \u0432 MathML",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 Math",ZoomTrigger:"\u0412\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F",Hover:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0432\u0435\u0434\u0435\u043D\u0438\u0438 \u0443\u043A\u0430\u0437\u0430\u0442\u0435\u043B\u044F \u043C\u044B\u0448\u0438",Click:"\u041F\u0440\u0438 \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",DoubleClick:"\u041F\u0440\u0438\u00A0\u0434\u0432\u043E\u0439\u043D\u043E\u043C \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F",TriggerRequires:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 \u043A\u043B\u0430\u0432\u0438\u0448\u0435:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435",Renderer:"\u041E\u0442\u0440\u0438\u0441\u043E\u0432\u0449\u0438\u043A \u0444\u043E\u0440\u043C\u0443\u043B:",MPHandles:"\u041F\u0440\u0435\u0434\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0443 \u0449\u0435\u043B\u0447\u043A\u043E\u0432 \u043C\u044B\u0448\u044C\u044E MathPlayer",MenuEvents:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E",MouseEvents:"\u0421\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",MenuAndMouse:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E \u0438 \u0441\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",FontPrefs:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u044B \u0448\u0440\u0438\u0444\u0442\u043E\u0432",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",TeXWeb:"TeX (\u0438\u043D\u0442\u0435\u0440\u043D\u0435\u0442)",TeXImage:"TeX (\u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",STIXWeb:"STIX (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E",Browser:"\u0411\u0440\u0430\u0443\u0437\u0435\u0440",Scale:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0432\u0441\u0435 \u0444\u043E\u0440\u043C\u0443\u043B\u044B\u2026",Discoverable:"\u041F\u043E\u0434\u0441\u0432\u0435\u0442\u0438\u0442\u044C \u043F\u043E\u0434\u00A0\u043C\u044B\u0448\u044C\u044E",Locale:"\u042F\u0437\u044B\u043A",LoadLocale:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0441 URL-\u0430\u0434\u0440\u0435\u0441\u0430...",About:"\u041E MathJax",Help:"\u041F\u043E\u043C\u043E\u0449\u044C \u043F\u043E MathJax",localTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",webTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",imagefonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432",localSTIXfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u043E\u0432 STIX \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",webSVGfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0441\u0435\u0442\u0435\u0432\u044B\u0445 SVG-\u0448\u0440\u0438\u0444\u0442\u043E\u0432",genericfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C Unicod-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 \u043F\u043E\u00A0\u0443\u043C\u043E\u043B\u0447\u0430\u043D\u0438\u044E \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",wofforotffonts:"\u0428\u0440\u0438\u0444\u0442\u044B WOFF \u0438\u043B\u0438\u00A0OTF",eotffonts:"EOT-\u0448\u0440\u0438\u0444\u0442\u044B",svgfonts:"SVG-\u0448\u0440\u0438\u0444\u0442\u044B",WebkitNativeMMLWarning:"\u041F\u043E\u0445\u043E\u0436\u0435, \u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u0441\u043F\u043E\u0441\u043E\u0431\u0435\u043D \u0441\u0430\u043C \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u044C MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u043F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C MathML \u043C\u043E\u0436\u0435\u0442 \u0441\u0434\u0435\u043B\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0435\u0447\u0438\u0442\u0430\u0435\u043C\u044B\u043C\u0438",MSIENativeMMLWarning:"Internet Explorer \u043C\u043E\u0436\u0435\u0442 \u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C MathML \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u043F\u043B\u0430\u0433\u0438\u043D\u0430 MathPlayer.",OperaNativeMMLWarning:"Opera \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u043D\u043E \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 MathML \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u0431\u0443\u0434\u0435\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043F\u043B\u043E\u0445\u043E.",SafariNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u0432\u0441\u0435\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0445 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0435\u0439, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C\u00A0\u0432\u044B\u0432\u0435\u0434\u0435\u043D\u0430 \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",FirefoxNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u043D\u0435\u00A0\u0432\u0441\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0435 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C\u0441\u044F \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",MSIESVGWarning:"SVG \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442\u0441\u044F Internet Explorer'\u043E\u043C \u0434\u043E\u00A0IE9 \u0438\u00A0\u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u044D\u043C\u0443\u043B\u044F\u0446\u0438\u0438 \u0432\u0435\u0440\u0441\u0438\u0438 IE8 \u0438\u043B\u0438\u00A0\u043D\u0438\u0436\u0435. \u041F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C SVG \u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0437\u0432\u0430\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435 \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0444\u043E\u0440\u043C\u0443\u043B.",LoadURL:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443:",BadURL:"URL \u0434\u043E\u043B\u0436\u0435\u043D \u0443\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C \u043D\u0430\u00A0\u0444\u0430\u0439\u043B JavaScript, \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u044E\u0449\u0438\u0439 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F. \u0424\u0430\u0439\u043B\u044B JavaScript \u043E\u043A\u0430\u043D\u0447\u0438\u0432\u0430\u044E\u0442\u0441\u044F \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0435\u043C \u00AB.js\u00BB",BadData:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0445 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443 %1 \u043D\u0435\u00A0\u0443\u0434\u0430\u043B\u0430\u0441\u044C",SwitchAnyway:"\u0412\u0441\u0451 \u0440\u0430\u0432\u043D\u043E \u0441\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u043E\u0442\u0440\u0438\u0441\u043E\u0432\u043A\u0438 \u0444\u043E\u0440\u043C\u0443\u043B?\n\n(\u041D\u0430\u0436\u043C\u0438\u0442\u0435 OK \u0434\u043B\u044F\u00A0\u0441\u043C\u0435\u043D\u044B, \u041E\u0442\u043C\u0435\u043D\u0430, \u0447\u0442\u043E\u0431\u044B\u00A0\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043F\u0440\u0435\u0436\u043D\u0438\u0439)",ScaleMath:"\u0418\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0430\u0441\u0448\u0442\u0430\u0431 \u0432\u0441\u0435\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u044B\u0440\u0430\u0436\u0435\u043D\u0438\u0439 (\u043F\u043E \u0441\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u044E \u0441 \u043E\u043A\u0440\u0443\u0436\u0430\u044E\u0449\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C) \u043D\u0430",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0440\u0430\u0432\u0435\u043D \u043D\u0443\u043B\u044E",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0432\u044B\u0440\u0430\u0436\u0435\u043D \u0432 \u043F\u0440\u043E\u0446\u0435\u043D\u0442\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, 120%%)",IE8warning:"\u042D\u0442\u043E \u043E\u0442\u043A\u043B\u044E\u0447\u0438\u0442 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0438\u00A0\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F, \u043D\u043E\u00A0\u043C\u0435\u043D\u044E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E \u043F\u043E\u00A0\u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt.\n\n\u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E \u0438\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0431\u0443\u0434\u0435\u0442 \u043E\u0442\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u043D\u043E\u00A0\u043F\u043E \u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt \u043E\u043D\u043E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E.",NoOriginalForm:"\u041D\u0435\u0442 \u0438\u0441\u0445\u043E\u0434\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430",Close:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C",EqSource:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B",CloseAboutDialog:'\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 "\u041E \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u0435"',FastPreview:"\u0411\u044B\u0441\u0442\u0440\u044B\u0439 \u041F\u0440\u043E\u0441\u043C\u043E\u0442\u0440",AssistiveMML:"\u0412\u0441\u043F\u043E\u043C\u043E\u0433\u0430\u0442\u0435\u043B\u044C\u043D\u044B\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0430\u0442\u044C \u0432 \u043F\u043E\u0440\u044F\u0434\u043A\u0435 \u0442\u0430\u0431\u0443\u043B\u044F\u0446\u0438\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathMenu.js"); +MathJax.Localization.addTranslation("ru","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u044C\u043D\u044B\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B TeX",AsciiMathInput:"\u0412\u0432\u043E\u0434 AsciiMathML",Original:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u0432\u0438\u0434",ErrorMessage:"\u0421\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u043E\u0431 \u043E\u0448\u0438\u0431\u043A\u0435",Annotation:"\u0410\u043D\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043C\u044B\u0441\u043B\u043E\u0432\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0442\u043A\u0430",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u043C\u043C\u0435\u043D\u0442\u0430\u0440\u0438\u0438 \u0438\u0437 TeX \u0432 MathML",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 Math",ZoomTrigger:"\u0412\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F",Hover:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0432\u0435\u0434\u0435\u043D\u0438\u0438 \u0443\u043A\u0430\u0437\u0430\u0442\u0435\u043B\u044F \u043C\u044B\u0448\u0438",Click:"\u041F\u0440\u0438 \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",DoubleClick:"\u041F\u0440\u0438\u00A0\u0434\u0432\u043E\u0439\u043D\u043E\u043C \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F",TriggerRequires:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 \u043A\u043B\u0430\u0432\u0438\u0448\u0435:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435",Renderer:"\u041E\u0442\u0440\u0438\u0441\u043E\u0432\u0449\u0438\u043A \u0444\u043E\u0440\u043C\u0443\u043B:",MPHandles:"\u041F\u0440\u0435\u0434\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0443 \u0449\u0435\u043B\u0447\u043A\u043E\u0432 \u043C\u044B\u0448\u044C\u044E MathPlayer",MenuEvents:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E",MouseEvents:"\u0421\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",MenuAndMouse:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E \u0438 \u0441\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",FontPrefs:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u044B \u0448\u0440\u0438\u0444\u0442\u043E\u0432",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",TeXWeb:"TeX (\u0438\u043D\u0442\u0435\u0440\u043D\u0435\u0442)",TeXImage:"TeX (\u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",STIXWeb:"STIX (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E",Browser:"\u0411\u0440\u0430\u0443\u0437\u0435\u0440",Scale:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0432\u0441\u0435 \u0444\u043E\u0440\u043C\u0443\u043B\u044B\u2026",Discoverable:"\u041F\u043E\u0434\u0441\u0432\u0435\u0442\u0438\u0442\u044C \u043F\u043E\u0434\u00A0\u043C\u044B\u0448\u044C\u044E",Locale:"\u042F\u0437\u044B\u043A",LoadLocale:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0441 URL-\u0430\u0434\u0440\u0435\u0441\u0430...",About:"\u041E MathJax",Help:"\u041F\u043E\u043C\u043E\u0449\u044C \u043F\u043E MathJax",localTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",webTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",imagefonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432",localSTIXfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u043E\u0432 STIX \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",webSVGfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0441\u0435\u0442\u0435\u0432\u044B\u0445 SVG-\u0448\u0440\u0438\u0444\u0442\u043E\u0432",genericfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C Unicod-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 \u043F\u043E\u00A0\u0443\u043C\u043E\u043B\u0447\u0430\u043D\u0438\u044E \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",wofforotffonts:"\u0428\u0440\u0438\u0444\u0442\u044B WOFF \u0438\u043B\u0438\u00A0OTF",eotffonts:"EOT-\u0448\u0440\u0438\u0444\u0442\u044B",svgfonts:"SVG-\u0448\u0440\u0438\u0444\u0442\u044B",WebkitNativeMMLWarning:"\u041F\u043E\u0445\u043E\u0436\u0435, \u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u0441\u043F\u043E\u0441\u043E\u0431\u0435\u043D \u0441\u0430\u043C \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u044C MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u043F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C MathML \u043C\u043E\u0436\u0435\u0442 \u0441\u0434\u0435\u043B\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0435\u0447\u0438\u0442\u0430\u0435\u043C\u044B\u043C\u0438",MSIENativeMMLWarning:"Internet Explorer \u043C\u043E\u0436\u0435\u0442 \u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C MathML \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u043F\u043B\u0430\u0433\u0438\u043D\u0430 MathPlayer.",OperaNativeMMLWarning:"Opera \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u043D\u043E \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 MathML \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u0431\u0443\u0434\u0435\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043F\u043B\u043E\u0445\u043E.",SafariNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u0432\u0441\u0435\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0445 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0435\u0439, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C\u00A0\u0432\u044B\u0432\u0435\u0434\u0435\u043D\u0430 \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",FirefoxNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u043D\u0435\u00A0\u0432\u0441\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0435 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C\u0441\u044F \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",MSIESVGWarning:"SVG \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442\u0441\u044F Internet Explorer'\u043E\u043C \u0434\u043E\u00A0IE9 \u0438\u00A0\u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u044D\u043C\u0443\u043B\u044F\u0446\u0438\u0438 \u0432\u0435\u0440\u0441\u0438\u0438 IE8 \u0438\u043B\u0438\u00A0\u043D\u0438\u0436\u0435. \u041F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C SVG \u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0437\u0432\u0430\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435 \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0444\u043E\u0440\u043C\u0443\u043B.",LoadURL:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443:",BadURL:"URL \u0434\u043E\u043B\u0436\u0435\u043D \u0443\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C \u043D\u0430\u00A0\u0444\u0430\u0439\u043B JavaScript, \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u044E\u0449\u0438\u0439 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F. \u0424\u0430\u0439\u043B\u044B JavaScript \u043E\u043A\u0430\u043D\u0447\u0438\u0432\u0430\u044E\u0442\u0441\u044F \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0435\u043C \u00AB.js\u00BB",BadData:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0445 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443 %1 \u043D\u0435\u00A0\u0443\u0434\u0430\u043B\u0430\u0441\u044C",SwitchAnyway:"\u0412\u0441\u0451 \u0440\u0430\u0432\u043D\u043E \u0441\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u043E\u0442\u0440\u0438\u0441\u043E\u0432\u043A\u0438 \u0444\u043E\u0440\u043C\u0443\u043B?\n\n(\u041D\u0430\u0436\u043C\u0438\u0442\u0435 OK \u0434\u043B\u044F\u00A0\u0441\u043C\u0435\u043D\u044B, \u041E\u0442\u043C\u0435\u043D\u0430, \u0447\u0442\u043E\u0431\u044B\u00A0\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043F\u0440\u0435\u0436\u043D\u0438\u0439)",ScaleMath:"\u0418\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0430\u0441\u0448\u0442\u0430\u0431 \u0432\u0441\u0435\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u044B\u0440\u0430\u0436\u0435\u043D\u0438\u0439 (\u043F\u043E \u0441\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u044E \u0441 \u043E\u043A\u0440\u0443\u0436\u0430\u044E\u0449\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C) \u043D\u0430",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0440\u0430\u0432\u0435\u043D \u043D\u0443\u043B\u044E",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0432\u044B\u0440\u0430\u0436\u0435\u043D \u0432 \u043F\u0440\u043E\u0446\u0435\u043D\u0442\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, 120%%)",IE8warning:"\u042D\u0442\u043E \u043E\u0442\u043A\u043B\u044E\u0447\u0438\u0442 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0438\u00A0\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F, \u043D\u043E\u00A0\u043C\u0435\u043D\u044E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E \u043F\u043E\u00A0\u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt.\n\n\u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E \u0438\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0431\u0443\u0434\u0435\u0442 \u043E\u0442\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u043D\u043E\u00A0\u043F\u043E \u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt \u043E\u043D\u043E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E.",NoOriginalForm:"\u041D\u0435\u0442 \u0438\u0441\u0445\u043E\u0434\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430",Close:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C",EqSource:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B",CloseAboutDialog:'\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 "\u041E \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u0435"',FastPreview:"\u0411\u044B\u0441\u0442\u0440\u044B\u0439 \u041F\u0440\u043E\u0441\u043C\u043E\u0442\u0440",AssistiveMML:"\u0412\u0441\u043F\u043E\u043C\u043E\u0433\u0430\u0442\u0435\u043B\u044C\u043D\u044B\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0430\u0442\u044C \u0432 \u043F\u043E\u0440\u044F\u0434\u043A\u0435 \u0442\u0430\u0431\u0443\u043B\u044F\u0446\u0438\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathMenu.js"); diff --git a/localization/ru/TeX.js b/localization/ru/TeX.js index 357a74f6ff..34e0ff8abd 100644 --- a/localization/ru/TeX.js +++ b/localization/ru/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",ExtraCloseMissingOpen:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",MissingLeftExtraRight:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\left \u0438\u043B\u0438 \u043B\u0438\u0448\u043D\u0438\u0439 \\right",MissingScript:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043D\u0430\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0438\u043B\u0438 \u043F\u043E\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442",ExtraLeftMissingRight:"\u041B\u0438\u0448\u043D\u0438\u0439 \\left \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\right",Misplaced:"%1 \u043D\u0435\u00A0\u043D\u0430\u00A0\u043C\u0435\u0441\u0442\u0435",MissingOpenForSub:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",MissingOpenForSup:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0440\u044B\u0442\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \\end{%2}",EnvMissingEnd:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \\end{%1}",MissingBoxFor:"\u0423\u00A0%1 \u043D\u0435\u0442 \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u043C\u043E\u0433\u043E",MissingCloseBrace:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0443\u043F\u0440\u0430\u0432\u043B\u044F\u044E\u0449\u0430\u044F \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u044C %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430\u044F \u044D\u043A\u0441\u043F\u043E\u043D\u0435\u043D\u0442\u0430: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 \u0441\u043A\u043E\u0431\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u044F",DoubleSubscripts:"\u0414\u0432\u0430 \u043D\u0438\u0436\u043D\u0438\u0445 \u0438\u043D\u0434\u0435\u043A\u0441\u0430 \u043F\u043E\u0434\u0440\u044F\u0434: \u043F\u043E\u0441\u0442\u0430\u0432\u044C\u0442\u0435 \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u0435 \u0441\u043A\u043E\u0431\u043A\u0438",DoubleExponentPrime:"\u0428\u0442\u0440\u0438\u0445 \u043F\u043E\u0441\u043B\u0435\u00A0\u0432\u0435\u0440\u0445\u043D\u0435\u0433\u043E \u0438\u043D\u0434\u0435\u043A\u0441\u0430: \u0443\u0442\u043E\u0447\u043D\u0438\u0442\u0435, \u043A\u00A0\u0447\u0435\u043C\u0443 \u043E\u043D \u043E\u0442\u043D\u043E\u0441\u0438\u0442\u0441\u044F, \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u043C\u0438 \u0441\u043A\u043E\u0431\u043A\u0430\u043C\u0438",CantUseHash1:"\u0412\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u00ABmath\u00BB \u043D\u0435\u043B\u044C\u0437\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0430 #",MisplacedMiddle:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u043D\u0443\u0442\u0440\u0438 \\left \u0438\u00A0\\right",MisplacedLimits:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438",MisplacedMoveRoot:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u00A0\u043A\u043E\u0440\u043D\u044F\u0445",MultipleCommand:"\u041D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0446\u0435\u043B\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0441\u0438\u043C\u0432\u043E\u043B MML",InvalidMathMLAttr:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0442\u0435\u0433\u0430 MML %2",MaxMacroSub1:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0430: \u043D\u0435\u00A0\u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F\u00A0\u043B\u0438 \u044D\u0442\u043E?",MaxMacroSub2:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u043F\u0440\u0435\u0434\u0435\u043B\u044C\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax. \u041D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0438 \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 LaTeX?",MissingArgFor:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0421\u043B\u0438\u0448\u043A\u043E\u043C \u043C\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u043B\u0431\u0446\u043E\u0432 \u0432\u00A0\\cases",BracketMustBeDimension:"\u0420\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C (?) %1 \u043D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C",InvalidEnv:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F \u00AB%1\u00BB",UnknownEnv:"\u041D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u043E\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0435 \u00AB%1\u00BB",ExtraCloseLooking:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430, \u043A\u043E\u0433\u0434\u0430 \u043E\u0436\u0438\u0434\u0430\u043B\u0430\u0441\u044C %1",MissingCloseBracket:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0443\u044E ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0430 \u043A %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u043B\u0438 \u043D\u0435 \u0440\u0430\u0441\u043F\u043E\u0437\u043D\u0430\u043D \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C \u0434\u043B\u044F %1",MissingDimOrUnits:"\u041D\u0435\u0442\u00A0\u0435\u0434\u0438\u043D\u0438\u0446\u044B \u0438\u0437\u043C\u0435\u0440\u0435\u043D\u0438\u044F \u0432\u00A0%1",TokenNotFoundForCommand:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041D\u0435\u0437\u0430\u043A\u0440\u044B\u0442\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0432\u00A0\\text{}",IllegalMacroParam:"\u0421\u0441\u044B\u043B\u043A\u0430 \u043D\u0430\u00A0\u043D\u0435\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044E\u0449\u0438\u0439 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0430",MaxBufferSize:"\u0418\u0441\u0447\u0435\u0440\u043F\u0430\u043D \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u0431\u0443\u0444\u0435\u0440 MathJax: \u043D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E\u0433\u043E \u043C\u0430\u043A\u0440\u043E\u0441\u0430?",CommandNotAllowedInEnv:"%1 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 %2",MultipleLabel:"\u041C\u0435\u0442\u043A\u0430 \u00AB%1\u00BB \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E \u0440\u0430\u0437",CommandAtTheBeginingOfLine:"%1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u0432\u00A0\u043D\u0430\u0447\u0430\u043B\u0435 \u0441\u0442\u0440\u043E\u043A\u0438",IllegalAlign:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u044B\u0440\u0430\u0432\u043D\u0438\u0432\u0430\u043D\u0438\u0435 \u0432\u00A0%1",BadMathStyleFor:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0441\u0442\u0438\u043B\u044C \u0434\u043B\u044F\u00A0%1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0442\u0443\u0440\u0430\u043B\u044C\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u043B\u043E\u0436\u0435\u043D\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440",MultlineRowsOneCol:"\u0412 \u0441\u0442\u0440\u043E\u043A\u0430\u0445 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F %1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u043F\u043E\u00A0\u043E\u0434\u043D\u043E\u043C\u0443 \u0441\u0442\u043E\u043B\u0431\u0446\u0443",MultipleBBoxProperty:"%1 \u0443\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0430\u0436\u0434\u044B \u0432 %2",InvalidBBoxProperty:"'%1'\u00A0\u2014 \u043D\u0435\u00A0\u0446\u0432\u0435\u0442, \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u043E\u0442\u0441\u0442\u0443\u043F \u0438\u043B\u0438\u00A0\u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u041B\u0438\u0448\u043D\u0435\u0435 %1 \u0438\u043B\u0438\u00A0\u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u043E \\begingroup",GlobalNotFollowedBy:"\u041F\u043E\u0441\u043B\u0435 %1 \u043D\u0435\u0442 \\let, \\def \u0438\u043B\u0438\u00A0\\newcommand",UndefinedColorModel:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C \u00AB%1\u00BB \u043D\u0435\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430",ModelArg1:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C %1 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u0442\u0440\u0451\u0445\u00A0\u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432",InvalidDecimalNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0434\u0435\u0441\u044F\u0442\u0438\u0447\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432 \u0446\u0432\u0435\u0442\u0430 \u0432\u00A0\u043C\u043E\u0434\u0435\u043B\u0438 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C \u043C\u0435\u0436\u0434\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0432\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0431\u043E\u0440 \u043A\u043E\u043C\u0430\u043D\u0434",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u043D\u0430 \u0431\u044B\u0442\u044C \u043F\u0430\u0440\u0430 \u0446\u0435\u043B\u044B\u0445 \u0447\u0438\u0441\u0435\u043B, \u0440\u0430\u0437\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0437\u0430\u043F\u044F\u0442\u043E\u0439",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u044C\u0438\u043C \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043A\u043E\u0434 \u0441\u0438\u043C\u0432\u043E\u043B\u0430 \u042E\u043D\u0438\u043A\u043E\u0434",NoClosingChar:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0439 \u0441\u0438\u043C\u0432\u043E\u043B %1",IllegalControlSequenceName:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043A\u043E\u043C\u0430\u043D\u0434\u044B %1",IllegalParamNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1",MissingCS:"\u041F\u043E\u0441\u043B\u0435 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0438\u0434\u0442\u0438 \u043A\u043E\u043C\u0430\u043D\u0434\u044B",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 # \u0432\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0438 %1",SequentialParam:"\u041D\u043E\u043C\u0435\u0440\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C\u00A0\u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u044B",MissingReplacementString:"\u041D\u0435\u0442\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F %1",MismatchUseDef:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u044B\u0439 \u0432\u044B\u0437\u043E\u0432 %1",RunawayArgument:"\u0412\u00A0\u0432\u044B\u0437\u043E\u0432\u0435 %1 \u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440?",NoClosingDelim:"%1 \u043D\u0435 \u0437\u0430\u043A\u0440\u044B\u0442\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/TeX.js"); +MathJax.Localization.addTranslation("ru","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",ExtraCloseMissingOpen:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",MissingLeftExtraRight:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\left \u0438\u043B\u0438 \u043B\u0438\u0448\u043D\u0438\u0439 \\right",MissingScript:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043D\u0430\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0438\u043B\u0438 \u043F\u043E\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442",ExtraLeftMissingRight:"\u041B\u0438\u0448\u043D\u0438\u0439 \\left \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\right",Misplaced:"%1 \u043D\u0435\u00A0\u043D\u0430\u00A0\u043C\u0435\u0441\u0442\u0435",MissingOpenForSub:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",MissingOpenForSup:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0440\u044B\u0442\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \\end{%2}",EnvMissingEnd:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \\end{%1}",MissingBoxFor:"\u0423\u00A0%1 \u043D\u0435\u0442 \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u043C\u043E\u0433\u043E",MissingCloseBrace:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0443\u043F\u0440\u0430\u0432\u043B\u044F\u044E\u0449\u0430\u044F \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u044C %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430\u044F \u044D\u043A\u0441\u043F\u043E\u043D\u0435\u043D\u0442\u0430: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 \u0441\u043A\u043E\u0431\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u044F",DoubleSubscripts:"\u0414\u0432\u0430 \u043D\u0438\u0436\u043D\u0438\u0445 \u0438\u043D\u0434\u0435\u043A\u0441\u0430 \u043F\u043E\u0434\u0440\u044F\u0434: \u043F\u043E\u0441\u0442\u0430\u0432\u044C\u0442\u0435 \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u0435 \u0441\u043A\u043E\u0431\u043A\u0438",DoubleExponentPrime:"\u0428\u0442\u0440\u0438\u0445 \u043F\u043E\u0441\u043B\u0435\u00A0\u0432\u0435\u0440\u0445\u043D\u0435\u0433\u043E \u0438\u043D\u0434\u0435\u043A\u0441\u0430: \u0443\u0442\u043E\u0447\u043D\u0438\u0442\u0435, \u043A\u00A0\u0447\u0435\u043C\u0443 \u043E\u043D \u043E\u0442\u043D\u043E\u0441\u0438\u0442\u0441\u044F, \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u043C\u0438 \u0441\u043A\u043E\u0431\u043A\u0430\u043C\u0438",CantUseHash1:"\u0412\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u00ABmath\u00BB \u043D\u0435\u043B\u044C\u0437\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0430 #",MisplacedMiddle:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u043D\u0443\u0442\u0440\u0438 \\left \u0438\u00A0\\right",MisplacedLimits:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438",MisplacedMoveRoot:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u00A0\u043A\u043E\u0440\u043D\u044F\u0445",MultipleCommand:"\u041D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0446\u0435\u043B\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0441\u0438\u043C\u0432\u043E\u043B MML",InvalidMathMLAttr:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0442\u0435\u0433\u0430 MML %2",MaxMacroSub1:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0430: \u043D\u0435\u00A0\u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F\u00A0\u043B\u0438 \u044D\u0442\u043E?",MaxMacroSub2:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u043F\u0440\u0435\u0434\u0435\u043B\u044C\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax. \u041D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0438 \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 LaTeX?",MissingArgFor:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0421\u043B\u0438\u0448\u043A\u043E\u043C \u043C\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u043B\u0431\u0446\u043E\u0432 \u0432\u00A0\\cases",BracketMustBeDimension:"\u0420\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C (?) %1 \u043D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C",InvalidEnv:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F \u00AB%1\u00BB",UnknownEnv:"\u041D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u043E\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0435 \u00AB%1\u00BB",ExtraCloseLooking:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430, \u043A\u043E\u0433\u0434\u0430 \u043E\u0436\u0438\u0434\u0430\u043B\u0430\u0441\u044C %1",MissingCloseBracket:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0443\u044E ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0430 \u043A %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u043B\u0438 \u043D\u0435 \u0440\u0430\u0441\u043F\u043E\u0437\u043D\u0430\u043D \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C \u0434\u043B\u044F %1",MissingDimOrUnits:"\u041D\u0435\u0442\u00A0\u0435\u0434\u0438\u043D\u0438\u0446\u044B \u0438\u0437\u043C\u0435\u0440\u0435\u043D\u0438\u044F \u0432\u00A0%1",TokenNotFoundForCommand:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041D\u0435\u0437\u0430\u043A\u0440\u044B\u0442\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0432\u00A0\\text{}",IllegalMacroParam:"\u0421\u0441\u044B\u043B\u043A\u0430 \u043D\u0430\u00A0\u043D\u0435\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044E\u0449\u0438\u0439 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0430",MaxBufferSize:"\u0418\u0441\u0447\u0435\u0440\u043F\u0430\u043D \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u0431\u0443\u0444\u0435\u0440 MathJax: \u043D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E\u0433\u043E \u043C\u0430\u043A\u0440\u043E\u0441\u0430?",CommandNotAllowedInEnv:"%1 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 %2",MultipleLabel:"\u041C\u0435\u0442\u043A\u0430 \u00AB%1\u00BB \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E \u0440\u0430\u0437",CommandAtTheBeginingOfLine:"%1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u0432\u00A0\u043D\u0430\u0447\u0430\u043B\u0435 \u0441\u0442\u0440\u043E\u043A\u0438",IllegalAlign:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u044B\u0440\u0430\u0432\u043D\u0438\u0432\u0430\u043D\u0438\u0435 \u0432\u00A0%1",BadMathStyleFor:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0441\u0442\u0438\u043B\u044C \u0434\u043B\u044F\u00A0%1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0442\u0443\u0440\u0430\u043B\u044C\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u043B\u043E\u0436\u0435\u043D\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440",MultlineRowsOneCol:"\u0412 \u0441\u0442\u0440\u043E\u043A\u0430\u0445 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F %1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u043F\u043E\u00A0\u043E\u0434\u043D\u043E\u043C\u0443 \u0441\u0442\u043E\u043B\u0431\u0446\u0443",MultipleBBoxProperty:"%1 \u0443\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0430\u0436\u0434\u044B \u0432 %2",InvalidBBoxProperty:"'%1'\u00A0\u2014 \u043D\u0435\u00A0\u0446\u0432\u0435\u0442, \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u043E\u0442\u0441\u0442\u0443\u043F \u0438\u043B\u0438\u00A0\u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u041B\u0438\u0448\u043D\u0435\u0435 %1 \u0438\u043B\u0438\u00A0\u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u043E \\begingroup",GlobalNotFollowedBy:"\u041F\u043E\u0441\u043B\u0435 %1 \u043D\u0435\u0442 \\let, \\def \u0438\u043B\u0438\u00A0\\newcommand",UndefinedColorModel:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C \u00AB%1\u00BB \u043D\u0435\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430",ModelArg1:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C %1 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u0442\u0440\u0451\u0445\u00A0\u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432",InvalidDecimalNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0434\u0435\u0441\u044F\u0442\u0438\u0447\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432 \u0446\u0432\u0435\u0442\u0430 \u0432\u00A0\u043C\u043E\u0434\u0435\u043B\u0438 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C \u043C\u0435\u0436\u0434\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0432\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0431\u043E\u0440 \u043A\u043E\u043C\u0430\u043D\u0434",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u043D\u0430 \u0431\u044B\u0442\u044C \u043F\u0430\u0440\u0430 \u0446\u0435\u043B\u044B\u0445 \u0447\u0438\u0441\u0435\u043B, \u0440\u0430\u0437\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0437\u0430\u043F\u044F\u0442\u043E\u0439",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u044C\u0438\u043C \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043A\u043E\u0434 \u0441\u0438\u043C\u0432\u043E\u043B\u0430 \u042E\u043D\u0438\u043A\u043E\u0434",NoClosingChar:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0439 \u0441\u0438\u043C\u0432\u043E\u043B %1",IllegalControlSequenceName:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043A\u043E\u043C\u0430\u043D\u0434\u044B %1",IllegalParamNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1",MissingCS:"\u041F\u043E\u0441\u043B\u0435 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0438\u0434\u0442\u0438 \u043A\u043E\u043C\u0430\u043D\u0434\u044B",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 # \u0432\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0438 %1",SequentialParam:"\u041D\u043E\u043C\u0435\u0440\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C\u00A0\u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u044B",MissingReplacementString:"\u041D\u0435\u0442\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F %1",MismatchUseDef:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u044B\u0439 \u0432\u044B\u0437\u043E\u0432 %1",RunawayArgument:"\u0412\u00A0\u0432\u044B\u0437\u043E\u0432\u0435 %1 \u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440?",NoClosingDelim:"%1 \u043D\u0435 \u0437\u0430\u043A\u0440\u044B\u0442\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/TeX.js"); diff --git a/localization/ru/ru.js b/localization/ru/ru.js index d852539cd2..a565ea0c69 100644 --- a/localization/ru/ru.js +++ b/localization/ru/ru.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("ru",null,{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).",MathProcessingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u043E\u0448\u0438\u0431\u043A\u0430",LoadFile:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 %1",Loading:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430",LoadFailed:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u044B \u043F\u043E \u043E\u0442\u043B\u0430\u0434\u043A\u0435: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 %%1, \u0438\u0437\u0443\u0447\u0438\u0442\u0435 %%2 \u0432 \u043A\u043E\u043D\u0441\u043E\u043B\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/ru.js"); +MathJax.Localization.addTranslation("ru",null,{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).",MathProcessingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u043E\u0448\u0438\u0431\u043A\u0430",LoadFile:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 %1",Loading:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430",LoadFailed:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u044B \u043F\u043E \u043E\u0442\u043B\u0430\u0434\u043A\u0435: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 %%1, \u0438\u0437\u0443\u0447\u0438\u0442\u0435 %%2 \u0432 \u043A\u043E\u043D\u0441\u043E\u043B\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/ru.js"); diff --git a/localization/scn/FontWarnings.js b/localization/scn/FontWarnings.js index 176dadd26e..b8b7dc69c8 100644 --- a/localization/scn/FontWarnings.js +++ b/localization/scn/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax sta adupirannu tipi di car\u00E0ttiri scarricati di Internet p'ammmustrari la matim\u00E0tica nta sta p\u00E0ggina. Scarricari sti tipi si pigghia tempu, dunca sta p\u00E0ggina si purr\u00ECa mpagginari cchi\u00F9 viloci si li tipi di car\u00E0ttiri p\u00E2 matim\u00E0tica f\u00F9ssiru istallati direttamenti nt\u00E2 cartella d\u00EE car\u00E0ttiri d\u00FB t\u00F2 sistema.",imageFonts:"MathJax sta adupirannu mm\u00E0ggini comu tipi di car\u00E0ttiri, mmeci di adupirari tipi di car\u00E0ttiri lucali o scarricati d'Internet. Stu fattu renni la mpagginazzioni cchi\u00F9 lenta d\u00FB s\u00F2litu, e quannu si stampa, la matim\u00E0tica purr\u00ECa nun aviri la risuluzzioni china cunzintuta d\u00E2 stampanti.",noFonts:"MathJax nun potti attruvari nu tipu di car\u00E0ttiri bonu p'ammustrari la matim\u00E0tica, e mancu sunnu dispun\u00ECbbili mm\u00E0ggini fatti a tipi di car\u00E0ttiri; pi chistu sta ripiegannu a l'adupirari li car\u00E0ttiri Unicode, nt\u00E2 spiranza chi lu t\u00F2 browser \u00E8 capaci d'ammustr\u00E0rili. P\u00F2 \u00E8ssiri ca certi car\u00E0ttiri nun sp\u00F9ntanu boni, o nun sp\u00F9ntanu propia.",webFonts:"Li cchi\u00F9 d\u00EE browser muderni pirm\u00E8ttinu di scarricari li tipi di car\u00E0ttiri d'Internet. Aggiurnannu lu t\u00F2 browser (o canci\u00E0nnulu) si purr\u00ECa migghiurari la qualit\u00E0 d\u00E2 matim\u00E0tica ca veni ammustrata nta sta p\u00E0ggina.",fonts:"MathJax po fari usu o d\u00EE [tipi di car\u00E0ttiri STIX](%1) o d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%2). Sc\u00E0rrica e istalla unu di sti tipi pi fari funziunari megghiu MathJax.",STIXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri STIX](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax.",TeXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/FontWarnings.js"); +MathJax.Localization.addTranslation("scn","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax sta adupirannu tipi di car\u00E0ttiri scarricati di Internet p'ammmustrari la matim\u00E0tica nta sta p\u00E0ggina. Scarricari sti tipi si pigghia tempu, dunca sta p\u00E0ggina si purr\u00ECa mpagginari cchi\u00F9 viloci si li tipi di car\u00E0ttiri p\u00E2 matim\u00E0tica f\u00F9ssiru istallati direttamenti nt\u00E2 cartella d\u00EE car\u00E0ttiri d\u00FB t\u00F2 sistema.",imageFonts:"MathJax sta adupirannu mm\u00E0ggini comu tipi di car\u00E0ttiri, mmeci di adupirari tipi di car\u00E0ttiri lucali o scarricati d'Internet. Stu fattu renni la mpagginazzioni cchi\u00F9 lenta d\u00FB s\u00F2litu, e quannu si stampa, la matim\u00E0tica purr\u00ECa nun aviri la risuluzzioni china cunzintuta d\u00E2 stampanti.",noFonts:"MathJax nun potti attruvari nu tipu di car\u00E0ttiri bonu p'ammustrari la matim\u00E0tica, e mancu sunnu dispun\u00ECbbili mm\u00E0ggini fatti a tipi di car\u00E0ttiri; pi chistu sta ripiegannu a l'adupirari li car\u00E0ttiri Unicode, nt\u00E2 spiranza chi lu t\u00F2 browser \u00E8 capaci d'ammustr\u00E0rili. P\u00F2 \u00E8ssiri ca certi car\u00E0ttiri nun sp\u00F9ntanu boni, o nun sp\u00F9ntanu propia.",webFonts:"Li cchi\u00F9 d\u00EE browser muderni pirm\u00E8ttinu di scarricari li tipi di car\u00E0ttiri d'Internet. Aggiurnannu lu t\u00F2 browser (o canci\u00E0nnulu) si purr\u00ECa migghiurari la qualit\u00E0 d\u00E2 matim\u00E0tica ca veni ammustrata nta sta p\u00E0ggina.",fonts:"MathJax po fari usu o d\u00EE [tipi di car\u00E0ttiri STIX](%1) o d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%2). Sc\u00E0rrica e istalla unu di sti tipi pi fari funziunari megghiu MathJax.",STIXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri STIX](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax.",TeXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/FontWarnings.js"); diff --git a/localization/scn/HTML-CSS.js b/localization/scn/HTML-CSS.js index 596f00c984..87d3e6c44c 100644 --- a/localization/scn/HTML-CSS.js +++ b/localization/scn/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"Scarricamentu d\u00FB tipu di car\u00E0ttiri web %1",CantLoadWebFont:"Nun si potti scarricari lu tipu di car\u00E0ttiri web %1",FirefoxCantLoadWebFont:"Firefox nun p\u00F2 scarricari tipi di car\u00E0ttiri web di n'host rimotu",CantFindFontUsing:"Nun si potti attruvari nu tipu di car\u00E0ttiri bonu tra %1",WebFontsNotAvailable:"Li tipi di car\u00E0ttiri web nun sunnu dispun\u00ECbbili, \u00F4 s\u00F2 postu s'ad\u00F2piranu mm\u00E0ggini fatti a tipu di car\u00E0ttiri"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HTML-CSS.js"); +MathJax.Localization.addTranslation("scn","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Scarricamentu d\u00FB tipu di car\u00E0ttiri web %1",CantLoadWebFont:"Nun si potti scarricari lu tipu di car\u00E0ttiri web %1",FirefoxCantLoadWebFont:"Firefox nun p\u00F2 scarricari tipi di car\u00E0ttiri web di n'host rimotu",CantFindFontUsing:"Nun si potti attruvari nu tipu di car\u00E0ttiri bonu tra %1",WebFontsNotAvailable:"Li tipi di car\u00E0ttiri web nun sunnu dispun\u00ECbbili, \u00F4 s\u00F2 postu s'ad\u00F2piranu mm\u00E0ggini fatti a tipu di car\u00E0ttiri"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HTML-CSS.js"); diff --git a/localization/scn/HelpDialog.js b/localization/scn/HelpDialog.js index 4d29264330..8d324ec5f7 100644 --- a/localization/scn/HelpDialog.js +++ b/localization/scn/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Guida di MathJax",MathJax:"*MathJax* \u00E8 na libbrar\u00ECa JavaScript ca pirmetti a l'autura di m\u00E8ttiri f\u00F2rmuli matim\u00E0tichi nt\u00EA p\u00E0ggini web. Comu litturi, unu nun havi a fari nenti pi f\u00E0rilu funziunari.",Browsers:"*Browser*: MathJax funziona cu tutti li browser muderni cumprisi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e lu cchi\u00F9 d\u00EE browser purt\u00E0tili.",Menu:"*Men\u00F9 d\u00EE f\u00F2rmuli*: MathJax agghiunci nu men\u00F9 cuntistuali nta tutti li f\u00F2rmuli matim\u00E0tichi. Si grapi cliccannu supra d\u00EE f\u00F2rmuli c\u00FB buttuni drittu o tinennu carcatu ctrl.",ShowMath:"*Ammustra la f\u00F2rmula comu* pirmetti di taliari lu c\u00F2dici surgenti d\u00E2 f\u00F2rmula p\u00FB cupiari e ncuddari (sutta forma di MathML o nt\u00F4 s\u00F2 furmatu origginali).",Settings:"*Mpustazzioni* duna cuntrollu supra d\u00EE carattir\u00ECstichi di MathJax, comu p'esempiu la grannizza d\u00EE f\u00F2rmuli e lu miccanismu adupiratu pi visualizz\u00E0rili.",Language:"*Lingua* pirmetti di sc\u00E8gghiri la lingua adupirata di MathJax p\u00EE s\u00F2 men\u00F9 e p\u00EE s\u00F2 missagg\u00EE d'avvisu.",Zoom:"*Zoom d\u00EE f\u00F2rmuli*: si veni diff\u00ECcili a l\u00E8ggiri na f\u00F2rmula, MathJax la p\u00F2 fari cchi\u00F9 granni pi f\u00E0rila v\u00ECdiri megghiu.",Accessibilty:"*Accissibbilit\u00E0*: MathJax funziona autumaticamenti ch\u00EE littura di schermu pi r\u00E8nniri li f\u00F2rmuli matim\u00E0tichi acciss\u00ECbbili a cu havi prubblemi di vista.",Fonts:"*Tipi di car\u00E0ttiri*: MathJax ad\u00F2pira certi tipi di car\u00E0ttiri matim\u00E0tici quannu l'attrova istallati nt\u00F4 computer; sinn\u00F2, ad\u00F2pira tipi di car\u00E0ttiri scarricati di Internet. Nun servi pi forza aviri li tipi di car\u00E0ttiri istallati lucalmenti, per\u00F2 renni la mpagginazzioni cchi\u00F9 viloci. Nui cunzigghiamu di istallari li [tipi di car\u00E0ttiri STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HelpDialog.js"); +MathJax.Localization.addTranslation("scn","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Guida di MathJax",MathJax:"*MathJax* \u00E8 na libbrar\u00ECa JavaScript ca pirmetti a l'autura di m\u00E8ttiri f\u00F2rmuli matim\u00E0tichi nt\u00EA p\u00E0ggini web. Comu litturi, unu nun havi a fari nenti pi f\u00E0rilu funziunari.",Browsers:"*Browser*: MathJax funziona cu tutti li browser muderni cumprisi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e lu cchi\u00F9 d\u00EE browser purt\u00E0tili.",Menu:"*Men\u00F9 d\u00EE f\u00F2rmuli*: MathJax agghiunci nu men\u00F9 cuntistuali nta tutti li f\u00F2rmuli matim\u00E0tichi. Si grapi cliccannu supra d\u00EE f\u00F2rmuli c\u00FB buttuni drittu o tinennu carcatu ctrl.",ShowMath:"*Ammustra la f\u00F2rmula comu* pirmetti di taliari lu c\u00F2dici surgenti d\u00E2 f\u00F2rmula p\u00FB cupiari e ncuddari (sutta forma di MathML o nt\u00F4 s\u00F2 furmatu origginali).",Settings:"*Mpustazzioni* duna cuntrollu supra d\u00EE carattir\u00ECstichi di MathJax, comu p'esempiu la grannizza d\u00EE f\u00F2rmuli e lu miccanismu adupiratu pi visualizz\u00E0rili.",Language:"*Lingua* pirmetti di sc\u00E8gghiri la lingua adupirata di MathJax p\u00EE s\u00F2 men\u00F9 e p\u00EE s\u00F2 missagg\u00EE d'avvisu.",Zoom:"*Zoom d\u00EE f\u00F2rmuli*: si veni diff\u00ECcili a l\u00E8ggiri na f\u00F2rmula, MathJax la p\u00F2 fari cchi\u00F9 granni pi f\u00E0rila v\u00ECdiri megghiu.",Accessibilty:"*Accissibbilit\u00E0*: MathJax funziona autumaticamenti ch\u00EE littura di schermu pi r\u00E8nniri li f\u00F2rmuli matim\u00E0tichi acciss\u00ECbbili a cu havi prubblemi di vista.",Fonts:"*Tipi di car\u00E0ttiri*: MathJax ad\u00F2pira certi tipi di car\u00E0ttiri matim\u00E0tici quannu l'attrova istallati nt\u00F4 computer; sinn\u00F2, ad\u00F2pira tipi di car\u00E0ttiri scarricati di Internet. Nun servi pi forza aviri li tipi di car\u00E0ttiri istallati lucalmenti, per\u00F2 renni la mpagginazzioni cchi\u00F9 viloci. Nui cunzigghiamu di istallari li [tipi di car\u00E0ttiri STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HelpDialog.js"); diff --git a/localization/scn/MathML.js b/localization/scn/MathML.js index 5a0de5d429..3f52a64ece 100644 --- a/localization/scn/MathML.js +++ b/localization/scn/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"mglyph sbagghiatu: %1",BadMglyphFont:"Tipu di car\u00E0ttiri sbagghiatu: %1",MathPlayer:"MathJax nun arrinisc\u00ECu a armari lu MathPlayer.\n\nSi lu MathPlayer nun \u00E8 istallatu, pi prima cosa s'havi a istallari.\nSinn\u00F2, li t\u00F2 mpustazzioni d\u00E2 sicurizza purr\u00ECanu nun pirm\u00E8ttiri lu funziunamentu\nd\u00EE cuntrolli ActiveX. Grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB e pigghia la linguetta \u00ABSicurizza\u00BB, e dd\u00E0 carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB. Cuntrolla ch\u00EE mpustazzioni \u00ABEsegui cuntrolli ActiveX e plug-in\u00BB e \u00ABCumpurtamentu file binari e script\u00BB sunnu attivati.\n\nComu a ora vidi missagg\u00EE d'erruri mmeci chi f\u00F2rmuli matim\u00E0tichi mpagginati",CantCreateXMLParser:"MathJax nun p\u00F2 criari n'analizzaturi sint\u00E0tticu XML p\u00FB MathML. Cuntrolla chi \u00E8 attivata la mpustazzioni di sicurizza \u00ABEsegui script cuntrolli ActiveX contrassignati comu sicuri\u00BB (grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB, scegghi la linguetta \u00ABSicurizza\u00BB, e carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB p'attruvari sta mpustazzioni).\n\nL'equazzioni MathML nun ponnu \u00E8ssiri labburati di MathJax",UnknownNodeType:"Tipu di gruppu scanusciutu: %1",UnexpectedTextNode:"Gruppu di testu nun aspittatu: %1",ErrorParsingMathML:"Erruri nta l'an\u00E0lisi d\u00FB MathML",ParsingError:"Erruri nta l'an\u00E0lisi d\u00FB MathML: %1",MathMLSingleElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu s\u00ECngulu",MathMLRootElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathML.js"); +MathJax.Localization.addTranslation("scn","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph sbagghiatu: %1",BadMglyphFont:"Tipu di car\u00E0ttiri sbagghiatu: %1",MathPlayer:"MathJax nun arrinisc\u00ECu a armari lu MathPlayer.\n\nSi lu MathPlayer nun \u00E8 istallatu, pi prima cosa s'havi a istallari.\nSinn\u00F2, li t\u00F2 mpustazzioni d\u00E2 sicurizza purr\u00ECanu nun pirm\u00E8ttiri lu funziunamentu\nd\u00EE cuntrolli ActiveX. Grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB e pigghia la linguetta \u00ABSicurizza\u00BB, e dd\u00E0 carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB. Cuntrolla ch\u00EE mpustazzioni \u00ABEsegui cuntrolli ActiveX e plug-in\u00BB e \u00ABCumpurtamentu file binari e script\u00BB sunnu attivati.\n\nComu a ora vidi missagg\u00EE d'erruri mmeci chi f\u00F2rmuli matim\u00E0tichi mpagginati",CantCreateXMLParser:"MathJax nun p\u00F2 criari n'analizzaturi sint\u00E0tticu XML p\u00FB MathML. Cuntrolla chi \u00E8 attivata la mpustazzioni di sicurizza \u00ABEsegui script cuntrolli ActiveX contrassignati comu sicuri\u00BB (grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB, scegghi la linguetta \u00ABSicurizza\u00BB, e carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB p'attruvari sta mpustazzioni).\n\nL'equazzioni MathML nun ponnu \u00E8ssiri labburati di MathJax",UnknownNodeType:"Tipu di gruppu scanusciutu: %1",UnexpectedTextNode:"Gruppu di testu nun aspittatu: %1",ErrorParsingMathML:"Erruri nta l'an\u00E0lisi d\u00FB MathML",ParsingError:"Erruri nta l'an\u00E0lisi d\u00FB MathML: %1",MathMLSingleElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu s\u00ECngulu",MathMLRootElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathML.js"); diff --git a/localization/scn/MathMenu.js b/localization/scn/MathMenu.js index 70bf7b43c4..f098e0a3cd 100644 --- a/localization/scn/MathMenu.js +++ b/localization/scn/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Ammustra la f\u00F2rmula sutta forma di",MathMLcode:"C\u00F2dici MathML",OriginalMathML:"MathML origginali",TeXCommands:"Cumanni TeX",AsciiMathInput:"Input AsciiMathML",Original:"Forma origginali",ErrorMessage:"Missaggiu d'erruri",Annotation:"Annutazzioni",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML d\u00FB cuntinutu",OpenMath:"OpenMath",texHints:"Ammustra suggirimenti TeX nt\u00F4 MathML",Settings:"Mpustazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",ZoomTrigger:"Attivazzioni d\u00FB zoom",Hover:"Passaggiu d\u00FB mouse",Click:"Clic",DoubleClick:"Duppiu clic",NoZoom:"Zoom nenti",TriggerRequires:"Pi l'attivazzioni ci voli:",Option:"Opzioni",Alt:"Alt",Command:"Cumannu",Control:"Ctrl",Shift:"Mai\u00F9sc.",ZoomFactor:"Fatturi di zoom",Renderer:"Giniraturi d\u00E2 matim\u00E0tica",MPHandles:"Lassa gistiri \u00F4 MathPlayer:",MenuEvents:"L'eventi d\u00EE men\u00F9",MouseEvents:"L'eventi d\u00FB mouse",MenuAndMouse:"L'eventi d\u00FB mouse e d\u00EE men\u00F9",FontPrefs:"Prifirenzi p\u00EE tipi di car\u00E0ttiri",ForHTMLCSS:"Pi l'HTML-CSS:",Auto:"Autum\u00E0ticu",TeXLocal:"TeX (lucali)",TeXWeb:"TeX (web)",TeXImage:"TeX (mm\u00E0ggini)",STIXLocal:"STIX (lucali)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00F9 cuntistuali",Browser:"Browser",Scale:"Arridiminziona tutta la matim\u00E0tica...",Discoverable:"Arrisaltari \u00F4 passaggiu d\u00FB mouse",Locale:"Lingua",LoadLocale:"Sc\u00E0rrica di l\u2019URL...",About:"A prup\u00F2situ di MathJax",Help:"Guida di MathJax",localTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali TeX",webTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web TeX",imagefonts:"sta facennu usu d\u00EE mm\u00E0ggini fatti a tipi di car\u00E0ttiri",localSTIXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali STIX",webSVGfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web SVG",genericfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri Unicode gin\u00E8rici",wofforotffonts:"Tipi di car\u00E0ttiri WOFF o OTF",eotffonts:"Tipi di car\u00E0ttiri EOT",svgfonts:"Tipi di car\u00E0ttiri SVG",WebkitNativeMMLWarning:"Lu t\u00F2 browser nun pari ca supporta nativamenti lu MathML, dunca passannu a l'output MathML la matim\u00E0tica chi c'\u00E8 nt\u00E2 p\u00E0ggina purr\u00ECa addivintari nun ligg\u00ECbbili",MSIENativeMMLWarning:"Internet Explorer havi bisognu d\u00FB plugin MathPlayer pi putiri labburari l'output MathML.",OperaNativeMMLWarning:"Opera supporta lu MathML di manera limitata, dunca passannu a l'output MathML certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",SafariNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",FirefoxNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",MSIESVGWarning:"L'SVG nun \u00E8 mplimintatu nta Internet Explorer prima d\u00E2 virsioni 9, o quannu \u00E8mula la virsioni 8 e chiddi nfiriuri. Passannu a l'output SVG la matim\u00E0tica nun \u00E8 visualizzata bona.",LoadURL:"Carricari li dati di traduzzioni di st'URL:",BadURL:"L'URL avissi a cunt\u00E8niri nu file JavaScript ca difinisci li dati d\u00E2 traduzzioni di MathJax. \u003ELi noma d\u00EE file JavaScript av\u00ECssiru a finiri cu \u00AB.js\u00BB",BadData:"Nun arrinisc\u00ECu lu scarricamentu d\u00EE dati d\u00E2 traduzzioni di %1",SwitchAnyway:"Voi canciari lu giniraturi lu stissu?\n\n(Carca OK pi canciari, ANNULLA p'arristari c\u00FB giniraturi attuali)",ScaleMath:"Arridiminziunari tutta la matim\u00E0tica (rispettu \u00F4 testu circustanti) di",NonZeroScale:"Lu fatturi di scala nun havi a \u00E8ssiri zeru",PercentScale:"Lu fatturi di scala havi a \u00E8ssiri na pircintuali (p'esempiu 120%%)",IE8warning:"Sta cosa disattiva lu men\u00F9 di MathJax e li s\u00F2 funziunalit\u00E0 di zoom, pir\u00F2 si p\u00F2 sempri gr\u00E0piri lu men\u00F9 di MathJax cliccannu supra \u00EA sprissioni tinennu carcatu Alt.\n\nS\u00EE sicuru di vuliri canciari li mpustazzioni d\u00FB MathPlayer?",IE9warning:"Veni disattivatu lu men\u00F9 cuntistuali di MathJax, chi pir\u00F2 si p\u00F2 sempri gr\u00E0piri cliccannu supra \u00EA sprissioni tinennu carcatu Alt.",NoOriginalForm:"Nudda forma origginali \u00E8 dispun\u00ECbbili",Close:"Chiudi",EqSource:"Surgenti d\u00E2 f\u00F2rmula MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathMenu.js"); +MathJax.Localization.addTranslation("scn","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Ammustra la f\u00F2rmula sutta forma di",MathMLcode:"C\u00F2dici MathML",OriginalMathML:"MathML origginali",TeXCommands:"Cumanni TeX",AsciiMathInput:"Input AsciiMathML",Original:"Forma origginali",ErrorMessage:"Missaggiu d'erruri",Annotation:"Annutazzioni",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML d\u00FB cuntinutu",OpenMath:"OpenMath",texHints:"Ammustra suggirimenti TeX nt\u00F4 MathML",Settings:"Mpustazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",ZoomTrigger:"Attivazzioni d\u00FB zoom",Hover:"Passaggiu d\u00FB mouse",Click:"Clic",DoubleClick:"Duppiu clic",NoZoom:"Zoom nenti",TriggerRequires:"Pi l'attivazzioni ci voli:",Option:"Opzioni",Alt:"Alt",Command:"Cumannu",Control:"Ctrl",Shift:"Mai\u00F9sc.",ZoomFactor:"Fatturi di zoom",Renderer:"Giniraturi d\u00E2 matim\u00E0tica",MPHandles:"Lassa gistiri \u00F4 MathPlayer:",MenuEvents:"L'eventi d\u00EE men\u00F9",MouseEvents:"L'eventi d\u00FB mouse",MenuAndMouse:"L'eventi d\u00FB mouse e d\u00EE men\u00F9",FontPrefs:"Prifirenzi p\u00EE tipi di car\u00E0ttiri",ForHTMLCSS:"Pi l'HTML-CSS:",Auto:"Autum\u00E0ticu",TeXLocal:"TeX (lucali)",TeXWeb:"TeX (web)",TeXImage:"TeX (mm\u00E0ggini)",STIXLocal:"STIX (lucali)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00F9 cuntistuali",Browser:"Browser",Scale:"Arridiminziona tutta la matim\u00E0tica...",Discoverable:"Arrisaltari \u00F4 passaggiu d\u00FB mouse",Locale:"Lingua",LoadLocale:"Sc\u00E0rrica di l\u2019URL...",About:"A prup\u00F2situ di MathJax",Help:"Guida di MathJax",localTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali TeX",webTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web TeX",imagefonts:"sta facennu usu d\u00EE mm\u00E0ggini fatti a tipi di car\u00E0ttiri",localSTIXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali STIX",webSVGfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web SVG",genericfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri Unicode gin\u00E8rici",wofforotffonts:"Tipi di car\u00E0ttiri WOFF o OTF",eotffonts:"Tipi di car\u00E0ttiri EOT",svgfonts:"Tipi di car\u00E0ttiri SVG",WebkitNativeMMLWarning:"Lu t\u00F2 browser nun pari ca supporta nativamenti lu MathML, dunca passannu a l'output MathML la matim\u00E0tica chi c'\u00E8 nt\u00E2 p\u00E0ggina purr\u00ECa addivintari nun ligg\u00ECbbili",MSIENativeMMLWarning:"Internet Explorer havi bisognu d\u00FB plugin MathPlayer pi putiri labburari l'output MathML.",OperaNativeMMLWarning:"Opera supporta lu MathML di manera limitata, dunca passannu a l'output MathML certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",SafariNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",FirefoxNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",MSIESVGWarning:"L'SVG nun \u00E8 mplimintatu nta Internet Explorer prima d\u00E2 virsioni 9, o quannu \u00E8mula la virsioni 8 e chiddi nfiriuri. Passannu a l'output SVG la matim\u00E0tica nun \u00E8 visualizzata bona.",LoadURL:"Carricari li dati di traduzzioni di st'URL:",BadURL:"L'URL avissi a cunt\u00E8niri nu file JavaScript ca difinisci li dati d\u00E2 traduzzioni di MathJax. \u003ELi noma d\u00EE file JavaScript av\u00ECssiru a finiri cu \u00AB.js\u00BB",BadData:"Nun arrinisc\u00ECu lu scarricamentu d\u00EE dati d\u00E2 traduzzioni di %1",SwitchAnyway:"Voi canciari lu giniraturi lu stissu?\n\n(Carca OK pi canciari, ANNULLA p'arristari c\u00FB giniraturi attuali)",ScaleMath:"Arridiminziunari tutta la matim\u00E0tica (rispettu \u00F4 testu circustanti) di",NonZeroScale:"Lu fatturi di scala nun havi a \u00E8ssiri zeru",PercentScale:"Lu fatturi di scala havi a \u00E8ssiri na pircintuali (p'esempiu 120%%)",IE8warning:"Sta cosa disattiva lu men\u00F9 di MathJax e li s\u00F2 funziunalit\u00E0 di zoom, pir\u00F2 si p\u00F2 sempri gr\u00E0piri lu men\u00F9 di MathJax cliccannu supra \u00EA sprissioni tinennu carcatu Alt.\n\nS\u00EE sicuru di vuliri canciari li mpustazzioni d\u00FB MathPlayer?",IE9warning:"Veni disattivatu lu men\u00F9 cuntistuali di MathJax, chi pir\u00F2 si p\u00F2 sempri gr\u00E0piri cliccannu supra \u00EA sprissioni tinennu carcatu Alt.",NoOriginalForm:"Nudda forma origginali \u00E8 dispun\u00ECbbili",Close:"Chiudi",EqSource:"Surgenti d\u00E2 f\u00F2rmula MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathMenu.js"); diff --git a/localization/scn/TeX.js b/localization/scn/TeX.js index 763f3dd563..2e8ef7e9aa 100644 --- a/localization/scn/TeX.js +++ b/localization/scn/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Par\u00E8ntisi graffa graputa suverchia o par\u00E8ntisi graffa chiusa ammancanti",ExtraCloseMissingOpen:"Par\u00E8ntisi graffa chiusa suverchia o par\u00E8ntisi graffa graputa ammancanti",MissingLeftExtraRight:"Cumannu \\left ammancanti o cumannu \\right suverchiu",MissingScript:"Argumentu ammancanti p\u00FB spunenti o p\u00FB dipunenti",ExtraLeftMissingRight:"Cumannu \\left suverchiu o cumannu \\right ammancanti",Misplaced:"%1 fora postu",MissingOpenForSub:"Par\u00E8ntisi graffa graputa ammancanti p\u00FB dipunenti",MissingOpenForSup:"Par\u00E8ntisi graffa graputa ammancanti p\u00F4 spunenti",AmbiguousUseOf:"Cumannu %1 adupiratu di manera amb\u00ECgua",EnvBadEnd:"Cumannu \\begin{%1} cunchiusu d\u00FB cumannu \\end{%2}",EnvMissingEnd:"Cumannu \\end{%1} ammancanti",MissingBoxFor:"Buatta ammancanti p\u00FB cumannu %1",MissingCloseBrace:"Par\u00E8ntisi graffa chiusa ammancanti",UndefinedControlSequence:"Siquenza di cuntrollu nun difinuta %1",DoubleExponent:"Spunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleSubscripts:"Dipunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleExponentPrime:"Spunenti duppiu p\u00FB s\u00ECmmulu di primu: adupirari li par\u00E8ntisi graffi pi chiariri",CantUseHash1:"Nun si p\u00F2 adupirari lu car\u00E0ttiri # comu par\u00E0mitru di macro nt\u00E2 mudalit\u00E0 matim\u00E0tica",MisplacedMiddle:"Lu cumannu %1 s'havi a attruvari dintra d\u00EE cumanni \\left e \\right",MisplacedLimits:"Lu cumannu %1 \u00E8 cunzintutu sulu nta l'opiratura",MisplacedMoveRoot:"Lu cumannu %1 p\u00F2 cump\u00E0riri sulu sutta r\u00E0dici",MultipleCommand:"%1 ripitutu",IntegerArg:"L'argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu nteru",NotMathMLToken:"%1 nun \u00E8 n'elimentu di token",InvalidMathMLAttr:"Attribbutu MathML nun v\u00E0lidu: %1",UnknownAttrForElement:"%1 nun \u00E8 n\u2019attribbutu ricanusciutu pi %2",MaxMacroSub1:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di macro di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",MaxMacroSub2:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di MathJax; c'\u00E8 quarchi ambienti LaTeX ricursivu?",MissingArgFor:"Argumentu d\u00FB cumannu %1 ammancanti",ExtraAlignTab:"Tabbulazzioni d\u2019alliniamentu suverchia nt\u00F4 testu d\u00FB cumannu \\cases",BracketMustBeDimension:"L'argumentu tra par\u00E8ntisi pi %1 havi a \u00E8ssiri na diminzioni",InvalidEnv:"Nomu d'ambienti nun v\u00E0lidu \u00AB%1\u00BB",UnknownEnv:"Ambienti scanusciutu \u00AB%1\u00BB",ExtraCloseLooking:"Par\u00E8ntisi graffa chiusa suverchia quannu s'aspittava %1",MissingCloseBracket:"Nun s'attrova la \u00AB]\u00BB chiusa pi l'argumentu di %1",MissingOrUnrecognizedDelim:"Dilimitaturi pi %1 ammancanti o scanusciutu",MissingDimOrUnits:"Diminzioni o s\u00F2 unit\u00E0 ammancanti p\u00FB cumannu %1",TokenNotFoundForCommand:"Nun s'attrova lu s\u00ECmmulu %1 p\u00FB cumannu %2",MathNotTerminated:"Matim\u00E0tica nun cunchiusa nt\u00E2 buatta di testu",IllegalMacroParam:"Rifirimentu \u00F4n par\u00E0mitru di macro nun v\u00E0lidu",MaxBufferSize:"Passatu lu l\u00ECmiti di grannizza d\u00FB buffer nternu di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",CommandNotAllowedInEnv:"Lu cumannu %1 nun \u00E8 cunzintutu nta l'ambienti %2",MultipleLabel:"Etichetta \u00AB%1\u00BB difinuta cchi\u00F9 voti",CommandAtTheBeginingOfLine:"%1 havi a stari \u00F4 principiu d\u00E2 riga",IllegalAlign:"Alliniamentu nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",BadMathStyleFor:"Stili matim\u00E0ticu nun v\u00E0lidu p\u00FB cumannu %1",PositiveIntegerArg:"L'argumentu di %1 havi a \u00E8ssiri nu nteru pusitivu",ErroneousNestingEq:"Annidamentu sbagghiatu d\u00EE strutturi d\u00E2 f\u00F2rmula",MultlineRowsOneCol:"Nta l\u2019ambienti %1 li righi hannu a aviri na culonna e una sula",MultipleBBoxProperty:"Prupit\u00E0 %1 spicificata dui voti nt\u00F4 cumannu %2",InvalidBBoxProperty:"\u00AB%1\u00BB nun pari un culuri, na diminzioni di m\u00E0rgini nternu, o nu stili",ExtraEndMissingBegin:"Cumannu %1 suverchiu o cumannu \\begingroup ammancanti",GlobalNotFollowedBy:"Cumannu %1 nun siguitu d\u00FB cumannu \\let, \\def, o \\newcommand",UndefinedColorModel:"Mudellu di culuri \u00AB%1\u00BB nun difinutu",ModelArg1:"Li valura di culuri p\u00FB mudellu %1 sunnu fatti di 3 n\u00F9mmira",InvalidDecimalNumber:"N\u00F9mmiru dicimali nun v\u00E0lidu",ModelArg2:"Li valura di culuri p\u00FB mudellu %1 hannu a \u00E8ssiri tra %2 e %3",InvalidNumber:"N\u00F9mmiru nun v\u00E0lidu",NewextarrowArg1:"Lu primu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri lu nomu di na siquenza di cuntrollu",NewextarrowArg2:"Lu secunnu argumentu d\u00FB cumannu %1 hannu a \u00E8ssiri dui nteri spartuti di na v\u00ECrgula",NewextarrowArg3:"Lu terzu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu n\u00F9mmiru di car\u00E0ttiri Unicode",NoClosingChar:"Ammanca la %1 di chiusura",IllegalControlSequenceName:"Nomu di siquenza di cuntrollu nun v\u00E0lidu p\u00FB cumannu %1",IllegalParamNumber:"N\u00F9mmiru di par\u00E0mitri nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",MissingCS:"Lu cumannu %1 havi a \u00E8ssiri siguitu di na siquenza di cuntrollu",CantUseHash2:"Usu nun cunzintutu d\u00FB car\u00E0ttiri # nt\u00F4 mudellu d\u00FB cumannu %1",SequentialParam:"Li par\u00E0mitri d\u00FB cumannu %1 hannu a \u00E8ssiri nummirati n siquenza",MissingReplacementString:"Stringa di rimpiazzu ammancanti nt\u00E2 difinizzioni d\u00FB cumannu %1",MismatchUseDef:"L'usu d\u00FB cumannu %1 nun currispunni \u00E2 s\u00F2 difinizzioni",RunawayArgument:"Argumentu d\u00FB cumannu %1 pirdutu?",NoClosingDelim:"Nun s'attrova lu dilimitaturi di chiusura p\u00FB cumannu %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/TeX.js"); +MathJax.Localization.addTranslation("scn","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Par\u00E8ntisi graffa graputa suverchia o par\u00E8ntisi graffa chiusa ammancanti",ExtraCloseMissingOpen:"Par\u00E8ntisi graffa chiusa suverchia o par\u00E8ntisi graffa graputa ammancanti",MissingLeftExtraRight:"Cumannu \\left ammancanti o cumannu \\right suverchiu",MissingScript:"Argumentu ammancanti p\u00FB spunenti o p\u00FB dipunenti",ExtraLeftMissingRight:"Cumannu \\left suverchiu o cumannu \\right ammancanti",Misplaced:"%1 fora postu",MissingOpenForSub:"Par\u00E8ntisi graffa graputa ammancanti p\u00FB dipunenti",MissingOpenForSup:"Par\u00E8ntisi graffa graputa ammancanti p\u00F4 spunenti",AmbiguousUseOf:"Cumannu %1 adupiratu di manera amb\u00ECgua",EnvBadEnd:"Cumannu \\begin{%1} cunchiusu d\u00FB cumannu \\end{%2}",EnvMissingEnd:"Cumannu \\end{%1} ammancanti",MissingBoxFor:"Buatta ammancanti p\u00FB cumannu %1",MissingCloseBrace:"Par\u00E8ntisi graffa chiusa ammancanti",UndefinedControlSequence:"Siquenza di cuntrollu nun difinuta %1",DoubleExponent:"Spunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleSubscripts:"Dipunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleExponentPrime:"Spunenti duppiu p\u00FB s\u00ECmmulu di primu: adupirari li par\u00E8ntisi graffi pi chiariri",CantUseHash1:"Nun si p\u00F2 adupirari lu car\u00E0ttiri # comu par\u00E0mitru di macro nt\u00E2 mudalit\u00E0 matim\u00E0tica",MisplacedMiddle:"Lu cumannu %1 s'havi a attruvari dintra d\u00EE cumanni \\left e \\right",MisplacedLimits:"Lu cumannu %1 \u00E8 cunzintutu sulu nta l'opiratura",MisplacedMoveRoot:"Lu cumannu %1 p\u00F2 cump\u00E0riri sulu sutta r\u00E0dici",MultipleCommand:"%1 ripitutu",IntegerArg:"L'argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu nteru",NotMathMLToken:"%1 nun \u00E8 n'elimentu di token",InvalidMathMLAttr:"Attribbutu MathML nun v\u00E0lidu: %1",UnknownAttrForElement:"%1 nun \u00E8 n\u2019attribbutu ricanusciutu pi %2",MaxMacroSub1:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di macro di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",MaxMacroSub2:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di MathJax; c'\u00E8 quarchi ambienti LaTeX ricursivu?",MissingArgFor:"Argumentu d\u00FB cumannu %1 ammancanti",ExtraAlignTab:"Tabbulazzioni d\u2019alliniamentu suverchia nt\u00F4 testu d\u00FB cumannu \\cases",BracketMustBeDimension:"L'argumentu tra par\u00E8ntisi pi %1 havi a \u00E8ssiri na diminzioni",InvalidEnv:"Nomu d'ambienti nun v\u00E0lidu \u00AB%1\u00BB",UnknownEnv:"Ambienti scanusciutu \u00AB%1\u00BB",ExtraCloseLooking:"Par\u00E8ntisi graffa chiusa suverchia quannu s'aspittava %1",MissingCloseBracket:"Nun s'attrova la \u00AB]\u00BB chiusa pi l'argumentu di %1",MissingOrUnrecognizedDelim:"Dilimitaturi pi %1 ammancanti o scanusciutu",MissingDimOrUnits:"Diminzioni o s\u00F2 unit\u00E0 ammancanti p\u00FB cumannu %1",TokenNotFoundForCommand:"Nun s'attrova lu s\u00ECmmulu %1 p\u00FB cumannu %2",MathNotTerminated:"Matim\u00E0tica nun cunchiusa nt\u00E2 buatta di testu",IllegalMacroParam:"Rifirimentu \u00F4n par\u00E0mitru di macro nun v\u00E0lidu",MaxBufferSize:"Passatu lu l\u00ECmiti di grannizza d\u00FB buffer nternu di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",CommandNotAllowedInEnv:"Lu cumannu %1 nun \u00E8 cunzintutu nta l'ambienti %2",MultipleLabel:"Etichetta \u00AB%1\u00BB difinuta cchi\u00F9 voti",CommandAtTheBeginingOfLine:"%1 havi a stari \u00F4 principiu d\u00E2 riga",IllegalAlign:"Alliniamentu nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",BadMathStyleFor:"Stili matim\u00E0ticu nun v\u00E0lidu p\u00FB cumannu %1",PositiveIntegerArg:"L'argumentu di %1 havi a \u00E8ssiri nu nteru pusitivu",ErroneousNestingEq:"Annidamentu sbagghiatu d\u00EE strutturi d\u00E2 f\u00F2rmula",MultlineRowsOneCol:"Nta l\u2019ambienti %1 li righi hannu a aviri na culonna e una sula",MultipleBBoxProperty:"Prupit\u00E0 %1 spicificata dui voti nt\u00F4 cumannu %2",InvalidBBoxProperty:"\u00AB%1\u00BB nun pari un culuri, na diminzioni di m\u00E0rgini nternu, o nu stili",ExtraEndMissingBegin:"Cumannu %1 suverchiu o cumannu \\begingroup ammancanti",GlobalNotFollowedBy:"Cumannu %1 nun siguitu d\u00FB cumannu \\let, \\def, o \\newcommand",UndefinedColorModel:"Mudellu di culuri \u00AB%1\u00BB nun difinutu",ModelArg1:"Li valura di culuri p\u00FB mudellu %1 sunnu fatti di 3 n\u00F9mmira",InvalidDecimalNumber:"N\u00F9mmiru dicimali nun v\u00E0lidu",ModelArg2:"Li valura di culuri p\u00FB mudellu %1 hannu a \u00E8ssiri tra %2 e %3",InvalidNumber:"N\u00F9mmiru nun v\u00E0lidu",NewextarrowArg1:"Lu primu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri lu nomu di na siquenza di cuntrollu",NewextarrowArg2:"Lu secunnu argumentu d\u00FB cumannu %1 hannu a \u00E8ssiri dui nteri spartuti di na v\u00ECrgula",NewextarrowArg3:"Lu terzu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu n\u00F9mmiru di car\u00E0ttiri Unicode",NoClosingChar:"Ammanca la %1 di chiusura",IllegalControlSequenceName:"Nomu di siquenza di cuntrollu nun v\u00E0lidu p\u00FB cumannu %1",IllegalParamNumber:"N\u00F9mmiru di par\u00E0mitri nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",MissingCS:"Lu cumannu %1 havi a \u00E8ssiri siguitu di na siquenza di cuntrollu",CantUseHash2:"Usu nun cunzintutu d\u00FB car\u00E0ttiri # nt\u00F4 mudellu d\u00FB cumannu %1",SequentialParam:"Li par\u00E0mitri d\u00FB cumannu %1 hannu a \u00E8ssiri nummirati n siquenza",MissingReplacementString:"Stringa di rimpiazzu ammancanti nt\u00E2 difinizzioni d\u00FB cumannu %1",MismatchUseDef:"L'usu d\u00FB cumannu %1 nun currispunni \u00E2 s\u00F2 difinizzioni",RunawayArgument:"Argumentu d\u00FB cumannu %1 pirdutu?",NoClosingDelim:"Nun s'attrova lu dilimitaturi di chiusura p\u00FB cumannu %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/TeX.js"); diff --git a/localization/scn/scn.js b/localization/scn/scn.js index 6a1b277ede..06beafd603 100644 --- a/localization/scn/scn.js +++ b/localization/scn/scn.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("scn",null,{menuTitle:"sicilianu",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"Erruri nt\u00E2 labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",MathError:"Erruri nt\u00E2 matim\u00E0tica",LoadFile:"Carricamentu di %1",Loading:"Carricamentu",LoadFailed:"Nun arrinisc\u00ECu lu carricamentu di: %1",ProcessMath:"Labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Processing:"Labburazzioni",TypesetMath:"Mpagginazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Typesetting:"Mpagginazzioni",MathJaxNotSupported:"Lu t\u00F2 browser nun supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/scn.js"); +MathJax.Localization.addTranslation("scn",null,{menuTitle:"sicilianu",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Erruri nt\u00E2 labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",MathError:"Erruri nt\u00E2 matim\u00E0tica",LoadFile:"Carricamentu di %1",Loading:"Carricamentu",LoadFailed:"Nun arrinisc\u00ECu lu carricamentu di: %1",ProcessMath:"Labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Processing:"Labburazzioni",TypesetMath:"Mpagginazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Typesetting:"Mpagginazzioni",MathJaxNotSupported:"Lu t\u00F2 browser nun supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/scn.js"); diff --git a/localization/sco/FontWarnings.js b/localization/sco/FontWarnings.js index ac77dd706d..e186b204fc 100644 --- a/localization/sco/FontWarnings.js +++ b/localization/sco/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax is uisin wab-based fonts tae displey the mathematics oan this page. Thir tak time tae doonlaid, sae the page wid render faster gif ye installed maths fonts directlie in yer system's font fauder.",imageFonts:"MathJax is uisin its eemage fonts insteid o local or wab-based fonts. This will render slawer than uisual, n the mathematics micht no prent at the ful resolution o yer prenter.",noFonts:"MathJax is onable tae locate ae font tae uise tae displey its mathematics, n eemage fonts ar no available, sae it is fallin back oan generic Unicode chairacters in hopes that yer brouser will be able tae displey thaim. Some chairacters michtna shaw up properlie, or possiblie no at aw.",webFonts:"Maist modern brousers permit fonts tae be doonlaided ower the wab. Updatin til ae mair recent version o yer brouser (or chyngin brousers) coud impruiv the qualitie o the mathematics oan this page.",fonts:"MathJax can uise either the [STIX fonts](%1) or the [MathJax TeX fonts](%2). Doonlaid n install yin o thae fonts tae impruiv yer MathJax experience.",STIXPage:"This page is designed tae uise the [STIX fonts](%1). Doonlaid n install thae fonts tae impruiv yer MathJax experience.",TeXPage:"This page is designed tae uise the [MathJax TeX fonts](%1). Doonlaid n install thae fonts tae impruiv yer MathJax experiance."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/FontWarnings.js"); +MathJax.Localization.addTranslation("sco","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax is uisin wab-based fonts tae displey the mathematics oan this page. Thir tak time tae doonlaid, sae the page wid render faster gif ye installed maths fonts directlie in yer system's font fauder.",imageFonts:"MathJax is uisin its eemage fonts insteid o local or wab-based fonts. This will render slawer than uisual, n the mathematics micht no prent at the ful resolution o yer prenter.",noFonts:"MathJax is onable tae locate ae font tae uise tae displey its mathematics, n eemage fonts ar no available, sae it is fallin back oan generic Unicode chairacters in hopes that yer brouser will be able tae displey thaim. Some chairacters michtna shaw up properlie, or possiblie no at aw.",webFonts:"Maist modern brousers permit fonts tae be doonlaided ower the wab. Updatin til ae mair recent version o yer brouser (or chyngin brousers) coud impruiv the qualitie o the mathematics oan this page.",fonts:"MathJax can uise either the [STIX fonts](%1) or the [MathJax TeX fonts](%2). Doonlaid n install yin o thae fonts tae impruiv yer MathJax experience.",STIXPage:"This page is designed tae uise the [STIX fonts](%1). Doonlaid n install thae fonts tae impruiv yer MathJax experience.",TeXPage:"This page is designed tae uise the [MathJax TeX fonts](%1). Doonlaid n install thae fonts tae impruiv yer MathJax experiance."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/FontWarnings.js"); diff --git a/localization/sco/HTML-CSS.js b/localization/sco/HTML-CSS.js index 2ec37363ee..1c37211257 100644 --- a/localization/sco/HTML-CSS.js +++ b/localization/sco/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"Laidin wab font %1",CantLoadWebFont:"Canna laid wab font %1",FirefoxCantLoadWebFont:"Firefox canna laid wab fonts fae ae remote host",CantFindFontUsing:"Canna fynd ae valid font uisin %1",WebFontsNotAvailable:"Wab fonts no available. Uisin eimage fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HTML-CSS.js"); +MathJax.Localization.addTranslation("sco","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Laidin wab font %1",CantLoadWebFont:"Canna laid wab font %1",FirefoxCantLoadWebFont:"Firefox canna laid wab fonts fae ae remote host",CantFindFontUsing:"Canna fynd ae valid font uisin %1",WebFontsNotAvailable:"Wab fonts no available. Uisin eimage fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HTML-CSS.js"); diff --git a/localization/sco/HelpDialog.js b/localization/sco/HelpDialog.js index dd092e7def..d78a0c0335 100644 --- a/localization/sco/HelpDialog.js +++ b/localization/sco/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"MathJax Heelp",MathJax:"*MathJax* is ae JavaScreept librairie that allous page authers tae incluid mathematics wiin thair wab pages. Aes ae reader, ye dinna need tae dae oniething tae mak that happen.",Browsers:"*Brousers*: MathJax warks wi aw modern brousers incluidin IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ n maist mobile brousers.",Menu:"*Maths menu*: MathJax adds ae contextual menu til equations. Richt-clap or Ctrl-clap oan onie mathematics tae access the menu.",ShowMath:"*Shaw maths aes* Permits ye tae view the formula's soorce maurkup fer copie \u0026 paste (aes MathML or in its oreeginal format).",Settings:"*Settins* gies ye control ower features o MathJax, lik the size o the mathematics, n the mechanism uised tae displey equations.",Language:"*Leid* lets ye select the leid uised bi MathJax fer its menus n warnishment messages.",Zoom:"*Maths zuim*: Gif ye'r haein difficultie readin aen equation, MathJax can mak it mair muckle tae heelp ye see it better.",Accessibilty:"*Accessibeelitie*: MathJax will aut\u00E6maticlie wark wi screen readers tae mak mathematics accessible til the veesuallie impaired.",Fonts:"*Fonts*: MathJax will uise certain maths fonts gif thay ar installed oan yer computer; itherwise, it will uise wab-based fonts. Awthough no needit, locallie installed fonts will speed up typesettin. We suggest installin the [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HelpDialog.js"); +MathJax.Localization.addTranslation("sco","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax Heelp",MathJax:"*MathJax* is ae JavaScreept librairie that allous page authers tae incluid mathematics wiin thair wab pages. Aes ae reader, ye dinna need tae dae oniething tae mak that happen.",Browsers:"*Brousers*: MathJax warks wi aw modern brousers incluidin IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ n maist mobile brousers.",Menu:"*Maths menu*: MathJax adds ae contextual menu til equations. Richt-clap or Ctrl-clap oan onie mathematics tae access the menu.",ShowMath:"*Shaw maths aes* Permits ye tae view the formula's soorce maurkup fer copie \u0026 paste (aes MathML or in its oreeginal format).",Settings:"*Settins* gies ye control ower features o MathJax, lik the size o the mathematics, n the mechanism uised tae displey equations.",Language:"*Leid* lets ye select the leid uised bi MathJax fer its menus n warnishment messages.",Zoom:"*Maths zuim*: Gif ye'r haein difficultie readin aen equation, MathJax can mak it mair muckle tae heelp ye see it better.",Accessibilty:"*Accessibeelitie*: MathJax will aut\u00E6maticlie wark wi screen readers tae mak mathematics accessible til the veesuallie impaired.",Fonts:"*Fonts*: MathJax will uise certain maths fonts gif thay ar installed oan yer computer; itherwise, it will uise wab-based fonts. Awthough no needit, locallie installed fonts will speed up typesettin. We suggest installin the [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HelpDialog.js"); diff --git a/localization/sco/MathML.js b/localization/sco/MathML.js index 8dd6b2020a..d7d9fc99e8 100644 --- a/localization/sco/MathML.js +++ b/localization/sco/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax wisna able tae set up MathPlayer.\n\nGif MathPlayer isna installed, than ye need tae install it first.\nItherwise, yer securitie settins micht be preventin ActiveX\ncontrols fae rinnin. Uise the Internet Opties eetem unner\nthe Tuilkist menu n select the Securitie tab, than press the\nCustom Level button. Check that the settins fer\n'Rin ActiveX Controls', n 'Binarie n screept behaviors'\nar enabled.\n\nOan the nou ye'll see mistak messages insteid o typeset mathematics",CantCreateXMLParser:"MathJax canna creaut aen XML parser fer MathML. Check that\nthe 'Screept ActiveX controls maurkit safe fer screeptin' securitie\nsettin is enabled (uise the Internet Opties eetem in the Tuils menu, n select the Securitie panel, than press the Custom Level button tae check this).\n\nMathML equations will no be able tae be processed bi MathJax",UnknownNodeType:"Onkent node type: %1",UnexpectedTextNode:"Onexpected tex node: %1",ErrorParsingMathML:"Mistak parsin MathML",ParsingError:"Mistak parsin MathML: %1",MathMLSingleElement:"MathML maun be formed bi ae single element",MathMLRootElement:"MathML maun be formed bi ae \u003Cmath\u003E element, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathML.js"); +MathJax.Localization.addTranslation("sco","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax wisna able tae set up MathPlayer.\n\nGif MathPlayer isna installed, than ye need tae install it first.\nItherwise, yer securitie settins micht be preventin ActiveX\ncontrols fae rinnin. Uise the Internet Opties eetem unner\nthe Tuilkist menu n select the Securitie tab, than press the\nCustom Level button. Check that the settins fer\n'Rin ActiveX Controls', n 'Binarie n screept behaviors'\nar enabled.\n\nOan the nou ye'll see mistak messages insteid o typeset mathematics",CantCreateXMLParser:"MathJax canna creaut aen XML parser fer MathML. Check that\nthe 'Screept ActiveX controls maurkit safe fer screeptin' securitie\nsettin is enabled (uise the Internet Opties eetem in the Tuils menu, n select the Securitie panel, than press the Custom Level button tae check this).\n\nMathML equations will no be able tae be processed bi MathJax",UnknownNodeType:"Onkent node type: %1",UnexpectedTextNode:"Onexpected tex node: %1",ErrorParsingMathML:"Mistak parsin MathML",ParsingError:"Mistak parsin MathML: %1",MathMLSingleElement:"MathML maun be formed bi ae single element",MathMLRootElement:"MathML maun be formed bi ae \u003Cmath\u003E element, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathML.js"); diff --git a/localization/sco/MathMenu.js b/localization/sco/MathMenu.js index 59a753d2d5..51dbeb3af9 100644 --- a/localization/sco/MathMenu.js +++ b/localization/sco/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Shaw maths aes",MathMLcode:"MathML code",OriginalMathML:"Oreeginal MathML",TeXCommands:"TeX commauns",AsciiMathInput:"AsciiMathML input",Original:"Oreeginal form",ErrorMessage:"Mistak message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Shaw TeX hints in MathML",Settings:"Maths settins",ZoomTrigger:"Zuim trigger",Hover:"Hover",Click:"Clap",DoubleClick:"Dooble-clap",NoZoom:"Naw zuim",TriggerRequires:"Trigger needs:",Option:"Optie",Alt:"Alt",Command:"Commaun",Control:"Control",Shift:"Shift",ZoomFactor:"Zuim facter",Renderer:"Maths renderer",MPHandles:"Let MathPlayer haunle:",MenuEvents:"Menu events",MouseEvents:"Moose events",MenuAndMouse:"Moose n menu events",FontPrefs:"Font preferences",ForHTMLCSS:"Fer HTML-CSS:",Auto:"Aut\u00E6",TeXLocal:"TeX (local)",TeXWeb:"TeX (wab)",TeXImage:"TeX (eimage)",STIXLocal:"STIX (local)",STIXWeb:"STIX (wab)",AsanaMathWeb:"Asana Math (wab)",GyrePagellaWeb:"Gyre Pagella (wab)",GyreTermesWeb:"Gyre Termes (wab)",LatinModernWeb:"Latin Modern (wab)",NeoEulerWeb:"Neo Euler (wab)",ContextMenu:"Contextual menu",Browser:"Brouser",Scale:"Scale aw maths ...",Discoverable:"Heilicht oan hover",Locale:"Leid",LoadLocale:"Laid fae URL ...",About:"Aneat MathJax",Help:"MathJax heelp",localTeXfonts:"uisin local TeX fonts",webTeXfonts:"uisin wab TeX font",imagefonts:"uisin Eimage fonts",localSTIXfonts:"uisin local STIX fonts",webSVGfonts:"uisin wab SVG fonts",genericfonts:"uisin generic Unicode fonts",wofforotffonts:"WOFF or OTF fonts",eotffonts:"EOT fonts",svgfonts:"SVG fonts",WebkitNativeMMLWarning:"Yer brouser disna seem tae support MathML nateevelie, sae switchin tae MathML ootput micht cause the mathematics oan the page tae become onreadable",MSIENativeMMLWarning:"Internet Explorer needs the MathPlayer plug-in fer tae process MathML ootput.",OperaNativeMMLWarning:"Opera's support fer MathML is leemitit, sae switchin tae MathML ootput micht cause some expressions tae render puirlie.",SafariNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",FirefoxNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",MSIESVGWarning:"SVG isna implemented in Internet Explorer prior til IE9 or whan it's emulating IE8 or ablo. Switchin til SVG ootput will cause the mathematics tae no displey properlie.",LoadURL:"Laid owersetin data fae this URL:",BadURL:"The URL shid be fer ae JavaScript file that defines MathJax owersetin data. JavaScript file names shid end wi '.js'",BadData:"Failed tae laid owersetin data fae %1",SwitchAnyway:"Switch the renderer oniewas?\n\n(Press OK tae switch, CANCEL tae continue wi the current renderer)",ScaleMath:"Scale aw mathematics (compared til surroondin tex) bi",NonZeroScale:"The scale shidna be zero",PercentScale:"The scale shid be ae percentage (fer example 120%%)",IE8warning:"This will disable the MathJax menu n zuim features, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.\n\nReallie want tae chynge the MathPlayer settins?",IE9warning:"The MathJax contextual menu will be disabled, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.",NoOriginalForm:"Naw oreeginal form available",Close:"Claise",EqSource:"MathJax Equation Soorce"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathMenu.js"); +MathJax.Localization.addTranslation("sco","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Shaw maths aes",MathMLcode:"MathML code",OriginalMathML:"Oreeginal MathML",TeXCommands:"TeX commauns",AsciiMathInput:"AsciiMathML input",Original:"Oreeginal form",ErrorMessage:"Mistak message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Shaw TeX hints in MathML",Settings:"Maths settins",ZoomTrigger:"Zuim trigger",Hover:"Hover",Click:"Clap",DoubleClick:"Dooble-clap",NoZoom:"Naw zuim",TriggerRequires:"Trigger needs:",Option:"Optie",Alt:"Alt",Command:"Commaun",Control:"Control",Shift:"Shift",ZoomFactor:"Zuim facter",Renderer:"Maths renderer",MPHandles:"Let MathPlayer haunle:",MenuEvents:"Menu events",MouseEvents:"Moose events",MenuAndMouse:"Moose n menu events",FontPrefs:"Font preferences",ForHTMLCSS:"Fer HTML-CSS:",Auto:"Aut\u00E6",TeXLocal:"TeX (local)",TeXWeb:"TeX (wab)",TeXImage:"TeX (eimage)",STIXLocal:"STIX (local)",STIXWeb:"STIX (wab)",AsanaMathWeb:"Asana Math (wab)",GyrePagellaWeb:"Gyre Pagella (wab)",GyreTermesWeb:"Gyre Termes (wab)",LatinModernWeb:"Latin Modern (wab)",NeoEulerWeb:"Neo Euler (wab)",ContextMenu:"Contextual menu",Browser:"Brouser",Scale:"Scale aw maths ...",Discoverable:"Heilicht oan hover",Locale:"Leid",LoadLocale:"Laid fae URL ...",About:"Aneat MathJax",Help:"MathJax heelp",localTeXfonts:"uisin local TeX fonts",webTeXfonts:"uisin wab TeX font",imagefonts:"uisin Eimage fonts",localSTIXfonts:"uisin local STIX fonts",webSVGfonts:"uisin wab SVG fonts",genericfonts:"uisin generic Unicode fonts",wofforotffonts:"WOFF or OTF fonts",eotffonts:"EOT fonts",svgfonts:"SVG fonts",WebkitNativeMMLWarning:"Yer brouser disna seem tae support MathML nateevelie, sae switchin tae MathML ootput micht cause the mathematics oan the page tae become onreadable",MSIENativeMMLWarning:"Internet Explorer needs the MathPlayer plug-in fer tae process MathML ootput.",OperaNativeMMLWarning:"Opera's support fer MathML is leemitit, sae switchin tae MathML ootput micht cause some expressions tae render puirlie.",SafariNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",FirefoxNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",MSIESVGWarning:"SVG isna implemented in Internet Explorer prior til IE9 or whan it's emulating IE8 or ablo. Switchin til SVG ootput will cause the mathematics tae no displey properlie.",LoadURL:"Laid owersetin data fae this URL:",BadURL:"The URL shid be fer ae JavaScript file that defines MathJax owersetin data. JavaScript file names shid end wi '.js'",BadData:"Failed tae laid owersetin data fae %1",SwitchAnyway:"Switch the renderer oniewas?\n\n(Press OK tae switch, CANCEL tae continue wi the current renderer)",ScaleMath:"Scale aw mathematics (compared til surroondin tex) bi",NonZeroScale:"The scale shidna be zero",PercentScale:"The scale shid be ae percentage (fer example 120%%)",IE8warning:"This will disable the MathJax menu n zuim features, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.\n\nReallie want tae chynge the MathPlayer settins?",IE9warning:"The MathJax contextual menu will be disabled, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.",NoOriginalForm:"Naw oreeginal form available",Close:"Claise",EqSource:"MathJax Equation Soorce"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathMenu.js"); diff --git a/localization/sco/TeX.js b/localization/sco/TeX.js index e9ab5c02c4..accfab6116 100644 --- a/localization/sco/TeX.js +++ b/localization/sco/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Eixtra apen brace or missin claise bracket",ExtraCloseMissingOpen:"Eixtra claise brace or missin apen bracket",MissingLeftExtraRight:"Missin \\left or eixtra \\right",MissingScript:"Missin superscreept or subscreept argument",ExtraLeftMissingRight:"Eixtra \\left or missin \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missin apen bracket fer subscreept",MissingOpenForSup:"Missin apen bracket fer superscreept",AmbiguousUseOf:"Ambeeguous uise o %1",EnvBadEnd:"\\begin{%1} ended wi \\end{%2}",EnvMissingEnd:"Missin \\end{%1}",MissingBoxFor:"Missin kist fer %1",MissingCloseBrace:"Missin claise bracket",UndefinedControlSequence:"Ondefined control sequence %1",DoubleExponent:"Dooble exponent: uise brackets tae clarifie",DoubleSubscripts:"Dooble subscreepts: uise brackets tae clarifie",DoubleExponentPrime:"Prime causes dooble exponent: Uise brackets tae clarifie",CantUseHash1:"Ye canna uise 'macro parameter chairacter #' in maths mode",MisplacedMiddle:"%1 mau be wiin \\left n \\right",MisplacedLimits:"%1 is yinlie permited oan operaters",MisplacedMoveRoot:"%1 can yinlie appear wiin ae ruit",MultipleCommand:"Multiple %1",IntegerArg:"The aurgument til %1 mau be aen integer",NotMathMLToken:"%1 isna ae token element",InvalidMathMLAttr:"Onvalid MathML attreebute: %1",UnknownAttrForElement:"%1 isna ae recognized attribute fer %2",MaxMacroSub1:"MathJax mucklest macro substitution coont exceeded; is thaur ae recursive macro caw?",MaxMacroSub2:"MathJax mucklest substitution coont exceeded; is thaur ae recursive LaTeX environment?",MissingArgFor:"Missin aurgument fer %1",ExtraAlignTab:"Eixtra alignment tab in \\cases tex",BracketMustBeDimension:"Bracket aurgument til %1 maun be ae dimension",InvalidEnv:"Onvalid environment name '%1'",UnknownEnv:"Onkent environment '%1'",ExtraCloseLooking:"Eixtra claise bracket while luikin fer %1",MissingCloseBracket:"Coudna fynd claisin ']' fer aurgument til %1",MissingOrUnrecognizedDelim:"Missin or onrecognized delimiter fer %1",MissingDimOrUnits:"Missin dimension or its units fer %1",TokenNotFoundForCommand:"Coudna fynd %1 fer %2",MathNotTerminated:"Maths no terminated in tex kist",IllegalMacroParam:"Onlegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is thaur ae recursive macro caw?",CommandNotAllowedInEnv:"%1 no permited in %2 environment",MultipleLabel:"Label '%1' multiplie defined",CommandAtTheBeginingOfLine:"%1 maun come at the beginnin o the line",IllegalAlign:"Onlegal alignment speceefied in %1",BadMathStyleFor:"Puir maths style fer %1",PositiveIntegerArg:"Argument til %1 maun be ae positeeve integer",ErroneousNestingEq:"Mistaken nestin o equation structures",MultlineRowsOneCol:"The lines wiin the %1 environment maun hae exactlie yin column",MultipleBBoxProperty:"%1 speceefied twice in %2",InvalidBBoxProperty:"'%1' disna luik like ae colour, ae paddin dimension, or ae style",ExtraEndMissingBegin:"Eixtra %1 or missin \\begingroup",GlobalNotFollowedBy:"%1 isna follaed bi \\let, \\def, or \\newcommand",UndefinedColorModel:"Colour model '%1' no defined",ModelArg1:"Colour values fer the %1 model need 3 nummers",InvalidDecimalNumber:"Onvalid decimal nummer",ModelArg2:"Colour values fer the %1 model maun be atween %2 n %3",InvalidNumber:"Onvalid nummer",NewextarrowArg1:"Foremait argument til %1 maun be ae control sequence name",NewextarrowArg2:"Seicont argument til %1 maun be twa integers separated bi ae comma",NewextarrowArg3:"Third argument til %1 maun be ae Unicode chairacter nummer",NoClosingChar:"Canna fynd claisin %1",IllegalControlSequenceName:"Onlegal control sequence name fer %1",IllegalParamNumber:"Onlegal nummer o parameters speceefied in %1",MissingCS:"%1 maun be follaeed bi ae control sequence",CantUseHash2:"Onlegal uiss o # in template fer %1",SequentialParam:"Parameters fer %1 maun be nummer't sequentiallie",MissingReplacementString:"Missin replacement string fer defineetion o %1",MismatchUseDef:"Uiss o %1 disna match its defineetion",RunawayArgument:"Rinawa argument fer %1?",NoClosingDelim:"Canna fynd claisin delimiter fer %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/TeX.js"); +MathJax.Localization.addTranslation("sco","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Eixtra apen brace or missin claise bracket",ExtraCloseMissingOpen:"Eixtra claise brace or missin apen bracket",MissingLeftExtraRight:"Missin \\left or eixtra \\right",MissingScript:"Missin superscreept or subscreept argument",ExtraLeftMissingRight:"Eixtra \\left or missin \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missin apen bracket fer subscreept",MissingOpenForSup:"Missin apen bracket fer superscreept",AmbiguousUseOf:"Ambeeguous uise o %1",EnvBadEnd:"\\begin{%1} ended wi \\end{%2}",EnvMissingEnd:"Missin \\end{%1}",MissingBoxFor:"Missin kist fer %1",MissingCloseBrace:"Missin claise bracket",UndefinedControlSequence:"Ondefined control sequence %1",DoubleExponent:"Dooble exponent: uise brackets tae clarifie",DoubleSubscripts:"Dooble subscreepts: uise brackets tae clarifie",DoubleExponentPrime:"Prime causes dooble exponent: Uise brackets tae clarifie",CantUseHash1:"Ye canna uise 'macro parameter chairacter #' in maths mode",MisplacedMiddle:"%1 mau be wiin \\left n \\right",MisplacedLimits:"%1 is yinlie permited oan operaters",MisplacedMoveRoot:"%1 can yinlie appear wiin ae ruit",MultipleCommand:"Multiple %1",IntegerArg:"The aurgument til %1 mau be aen integer",NotMathMLToken:"%1 isna ae token element",InvalidMathMLAttr:"Onvalid MathML attreebute: %1",UnknownAttrForElement:"%1 isna ae recognized attribute fer %2",MaxMacroSub1:"MathJax mucklest macro substitution coont exceeded; is thaur ae recursive macro caw?",MaxMacroSub2:"MathJax mucklest substitution coont exceeded; is thaur ae recursive LaTeX environment?",MissingArgFor:"Missin aurgument fer %1",ExtraAlignTab:"Eixtra alignment tab in \\cases tex",BracketMustBeDimension:"Bracket aurgument til %1 maun be ae dimension",InvalidEnv:"Onvalid environment name '%1'",UnknownEnv:"Onkent environment '%1'",ExtraCloseLooking:"Eixtra claise bracket while luikin fer %1",MissingCloseBracket:"Coudna fynd claisin ']' fer aurgument til %1",MissingOrUnrecognizedDelim:"Missin or onrecognized delimiter fer %1",MissingDimOrUnits:"Missin dimension or its units fer %1",TokenNotFoundForCommand:"Coudna fynd %1 fer %2",MathNotTerminated:"Maths no terminated in tex kist",IllegalMacroParam:"Onlegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is thaur ae recursive macro caw?",CommandNotAllowedInEnv:"%1 no permited in %2 environment",MultipleLabel:"Label '%1' multiplie defined",CommandAtTheBeginingOfLine:"%1 maun come at the beginnin o the line",IllegalAlign:"Onlegal alignment speceefied in %1",BadMathStyleFor:"Puir maths style fer %1",PositiveIntegerArg:"Argument til %1 maun be ae positeeve integer",ErroneousNestingEq:"Mistaken nestin o equation structures",MultlineRowsOneCol:"The lines wiin the %1 environment maun hae exactlie yin column",MultipleBBoxProperty:"%1 speceefied twice in %2",InvalidBBoxProperty:"'%1' disna luik like ae colour, ae paddin dimension, or ae style",ExtraEndMissingBegin:"Eixtra %1 or missin \\begingroup",GlobalNotFollowedBy:"%1 isna follaed bi \\let, \\def, or \\newcommand",UndefinedColorModel:"Colour model '%1' no defined",ModelArg1:"Colour values fer the %1 model need 3 nummers",InvalidDecimalNumber:"Onvalid decimal nummer",ModelArg2:"Colour values fer the %1 model maun be atween %2 n %3",InvalidNumber:"Onvalid nummer",NewextarrowArg1:"Foremait argument til %1 maun be ae control sequence name",NewextarrowArg2:"Seicont argument til %1 maun be twa integers separated bi ae comma",NewextarrowArg3:"Third argument til %1 maun be ae Unicode chairacter nummer",NoClosingChar:"Canna fynd claisin %1",IllegalControlSequenceName:"Onlegal control sequence name fer %1",IllegalParamNumber:"Onlegal nummer o parameters speceefied in %1",MissingCS:"%1 maun be follaeed bi ae control sequence",CantUseHash2:"Onlegal uiss o # in template fer %1",SequentialParam:"Parameters fer %1 maun be nummer't sequentiallie",MissingReplacementString:"Missin replacement string fer defineetion o %1",MismatchUseDef:"Uiss o %1 disna match its defineetion",RunawayArgument:"Rinawa argument fer %1?",NoClosingDelim:"Canna fynd claisin delimiter fer %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/TeX.js"); diff --git a/localization/sco/sco.js b/localization/sco/sco.js index a6aafa871f..2530b6c2e4 100644 --- a/localization/sco/sco.js +++ b/localization/sco/sco.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sco",null,{menuTitle:"scots",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"Maths processin mistak",MathError:"Maths mistak",LoadFile:"Laidin %1",Loading:"Laidin",LoadFailed:"File failed tae laid: %1",ProcessMath:"Processin maths: %1%%",Processing:"Processin",TypesetMath:"Typesettin maths: %1%%",Typesetting:"Typesettin",MathJaxNotSupported:"Yer brouser disna support MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/sco.js"); +MathJax.Localization.addTranslation("sco",null,{menuTitle:"scots",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Maths processin mistak",MathError:"Maths mistak",LoadFile:"Laidin %1",Loading:"Laidin",LoadFailed:"File failed tae laid: %1",ProcessMath:"Processin maths: %1%%",Processing:"Processin",TypesetMath:"Typesettin maths: %1%%",Typesetting:"Typesettin",MathJaxNotSupported:"Yer brouser disna support MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/sco.js"); diff --git a/localization/sk/FontWarnings.js b/localization/sk/FontWarnings.js index 9806eb7237..f496f849f9 100644 --- a/localization/sk/FontWarnings.js +++ b/localization/sk/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDva k zobrazeniu matematiky na tejto str\u00E1nke webov\u00E9 p\u00EDsma. T\u00FDm trv\u00E1 stiahnutie nejak\u00FA dobu, tak\u017Ee str\u00E1nka by sa vykreslila r\u00FDchlej\u0161ie, ak by ste si tieto matematick\u00E9 p\u00EDsma nain\u0161talovali priamo do syst\u00E9movej zlo\u017Eky p\u00EDsiem.",imageFonts:"MathJax pou\u017E\u00EDva namiesto miestnych alebo webov\u00FDch p\u00EDsiem obr\u00E1zkov\u00E9 p\u00EDsmo. Preto bude vykres\u013Eovanie pomal\u0161ie ako je obvykl\u00E9 a pri tla\u010Di na Va\u0161ej tla\u010Diarni mo\u017Eno nebude matematika vykreslen\u00E1 v najlep\u0161om rozl\u00ED\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee n\u00E1js\u0165 p\u00EDsmo, ktor\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E9 p\u00EDsma nie s\u00FA k dispoz\u00EDcii, tak\u017Ee sa bude pou\u017E\u00EDva\u0165 be\u017En\u00E9 znaky Unicode v n\u00E1deji, \u017Ee ich v\u00E1\u0161 prehliada\u010D dok\u00E1\u017Ee zobrazi\u0165. Niektor\u00E9 znaky sa mo\u017Eno nezobrazia spr\u00E1vne alebo dokonca v\u00F4bec.",webFonts:"V\u00E4\u010D\u0161ina modern\u00FDch prehliada\u010Dov umo\u017E\u0148uje stiahnutie p\u00EDsiem cez web. Aktualiz\u00E1cia na nov\u0161iu verziu prehliada\u010Da (alebo zmena prehliada\u010Da) by mohla zlep\u0161i\u0165 zobrazenie matematiky na tejto str\u00E1nke.",fonts:"MathJax m\u00F4\u017Ee pou\u017E\u00EDva\u0165 bu\u010F [p\u00EDsma STIX](%1) alebo [MathJaxov\u00E9 TeXov\u00E9 p\u00EDsma](%2). Stiahnite a nain\u0161talujte si jedny z nich, aby ste si MathJax u\u017Eili lep\u0161ie.",STIXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [p\u00EDsmami STIX](%1). Stiahnite a nain\u0161talujte si tieto p\u00EDsma, aby ste si lep\u0161ie u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pre lep\u0161ie vyu\u017E\u00EDvanie MathJaxu si stiahnite a nain\u0161talujte tieto p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/FontWarnings.js"); +MathJax.Localization.addTranslation("sk","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDva k zobrazeniu matematiky na tejto str\u00E1nke webov\u00E9 p\u00EDsma. T\u00FDm trv\u00E1 stiahnutie nejak\u00FA dobu, tak\u017Ee str\u00E1nka by sa vykreslila r\u00FDchlej\u0161ie, ak by ste si tieto matematick\u00E9 p\u00EDsma nain\u0161talovali priamo do syst\u00E9movej zlo\u017Eky p\u00EDsiem.",imageFonts:"MathJax pou\u017E\u00EDva namiesto miestnych alebo webov\u00FDch p\u00EDsiem obr\u00E1zkov\u00E9 p\u00EDsmo. Preto bude vykres\u013Eovanie pomal\u0161ie ako je obvykl\u00E9 a pri tla\u010Di na Va\u0161ej tla\u010Diarni mo\u017Eno nebude matematika vykreslen\u00E1 v najlep\u0161om rozl\u00ED\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee n\u00E1js\u0165 p\u00EDsmo, ktor\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E9 p\u00EDsma nie s\u00FA k dispoz\u00EDcii, tak\u017Ee sa bude pou\u017E\u00EDva\u0165 be\u017En\u00E9 znaky Unicode v n\u00E1deji, \u017Ee ich v\u00E1\u0161 prehliada\u010D dok\u00E1\u017Ee zobrazi\u0165. Niektor\u00E9 znaky sa mo\u017Eno nezobrazia spr\u00E1vne alebo dokonca v\u00F4bec.",webFonts:"V\u00E4\u010D\u0161ina modern\u00FDch prehliada\u010Dov umo\u017E\u0148uje stiahnutie p\u00EDsiem cez web. Aktualiz\u00E1cia na nov\u0161iu verziu prehliada\u010Da (alebo zmena prehliada\u010Da) by mohla zlep\u0161i\u0165 zobrazenie matematiky na tejto str\u00E1nke.",fonts:"MathJax m\u00F4\u017Ee pou\u017E\u00EDva\u0165 bu\u010F [p\u00EDsma STIX](%1) alebo [MathJaxov\u00E9 TeXov\u00E9 p\u00EDsma](%2). Stiahnite a nain\u0161talujte si jedny z nich, aby ste si MathJax u\u017Eili lep\u0161ie.",STIXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [p\u00EDsmami STIX](%1). Stiahnite a nain\u0161talujte si tieto p\u00EDsma, aby ste si lep\u0161ie u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pre lep\u0161ie vyu\u017E\u00EDvanie MathJaxu si stiahnite a nain\u0161talujte tieto p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/FontWarnings.js"); diff --git a/localization/sk/HTML-CSS.js b/localization/sk/HTML-CSS.js index cc17aeb2fb..0d3ab8f2a8 100644 --- a/localization/sk/HTML-CSS.js +++ b/localization/sk/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDtava sa webov\u00FD font %1",CantLoadWebFont:"Nepodarilo sa na\u010D\u00EDta\u0165 webov\u00FD font %1",FirefoxCantLoadWebFont:"Firefox nedok\u00E1\u017Ee na\u010D\u00EDta\u0165 webov\u00E9 fonty zo vzdialen\u00E9ho hostite\u013Ea",CantFindFontUsing:"Nepodarilo sa n\u00E1js\u0165 platn\u00FD font pomocou %1",WebFontsNotAvailable:"Webov\u00E9 fonty nie s\u00FA k dispoz\u00EDcii. Namiesto toho s\u00FA pou\u017Eit\u00E9 obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HTML-CSS.js"); +MathJax.Localization.addTranslation("sk","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDtava sa webov\u00FD font %1",CantLoadWebFont:"Nepodarilo sa na\u010D\u00EDta\u0165 webov\u00FD font %1",FirefoxCantLoadWebFont:"Firefox nedok\u00E1\u017Ee na\u010D\u00EDta\u0165 webov\u00E9 fonty zo vzdialen\u00E9ho hostite\u013Ea",CantFindFontUsing:"Nepodarilo sa n\u00E1js\u0165 platn\u00FD font pomocou %1",WebFontsNotAvailable:"Webov\u00E9 fonty nie s\u00FA k dispoz\u00EDcii. Namiesto toho s\u00FA pou\u017Eit\u00E9 obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HTML-CSS.js"); diff --git a/localization/sk/HelpDialog.js b/localization/sk/HelpDialog.js index 6a882b160a..5d74e09a08 100644 --- a/localization/sk/HelpDialog.js +++ b/localization/sk/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Pomoc k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 kni\u017Enica, ktor\u00E1 autorom str\u00E1nok umo\u017E\u0148uje zahrn\u00FA\u0165 do str\u00E1nok matematiku. Ako \u010Ditate\u013E sa nemus\u00EDte o ni\u010D stara\u0165.",Browsers:"*Prehliada\u010De*: MathJax pracuje vo v\u0161etk\u00FDch modern\u00FDch prehliada\u010Doch, vr\u00E1tane IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u00E4\u010D\u0161ine mobiln\u00FDch prehliada\u010Dov.",Menu:"*Matematick\u00E9 menu*: MathJax prid\u00E1va k rovniciam kontextov\u00E9 menu. Pre zobrazenie menu kliknite prav\u00FDm tla\u010Didlom my\u0161i alebo s podr\u017Ean\u00EDm kl\u00E1vesy Ctrl na ktor\u00FAko\u013Evek matematiku.",ShowMath:"*Zobrazi\u0165 matematiku ako* v\u00E1m umo\u017En\u00ED prehliadnu\u0165 si zdrojov\u00FD k\u00F3d vzorca pre skop\u00EDrovanie (ako MathML alebo v p\u00F4vodnom form\u00E1te).",Settings:"*Nastavenia* v\u00E1m umo\u017E\u0148uj\u00FA prisp\u00F4sobi\u0165 si niektor\u00E9 funkcie MathJaxu, napr. ve\u013Ekos\u0165 matematiky alebo mechanizmy pou\u017E\u00EDvan\u00E9 k zobrazovaniu rovn\u00EDc.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvoli\u0165 si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pre menu a chybov\u00E9 hl\u00E1senia.",Zoom:"*Matematick\u00FD zoom*: Ak v\u00E1m \u010D\u00EDtanie rovnice rob\u00ED probl\u00E9my, Mathjax V\u00E1m umo\u017En\u00ED ich zv\u00E4\u010D\u0161i\u0165, aby ste ju lep\u0161ie videli.",Accessibilty:"*Dostupnos\u0165*: MathJax automaticky funguje s \u010D\u00EDta\u010Dkami obrazovky, aby matematiku spr\u00EDstupnil zrakovo postihnut\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDva\u0165 ist\u00E9 matematick\u00E9 p\u00EDsma, ak ich m\u00E1te v po\u010D\u00EDta\u010Di nain\u0161talovan\u00E9; v opa\u010Dnom pr\u00EDpade pou\u017Eije p\u00EDsma webov\u00E9. Napriek tomu, \u017Ee to nie je nutn\u00E9, lok\u00E1lne nain\u0161talovan\u00E9 p\u00EDsma ur\u00FDchlia s\u00E1dzanie. Odpor\u00FA\u010Dame nain\u0161talova\u0165 [p\u00EDsma STIX](%1).",CloseDialog:"Zavri\u0165 okno s n\u00E1povedou"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HelpDialog.js"); +MathJax.Localization.addTranslation("sk","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Pomoc k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 kni\u017Enica, ktor\u00E1 autorom str\u00E1nok umo\u017E\u0148uje zahrn\u00FA\u0165 do str\u00E1nok matematiku. Ako \u010Ditate\u013E sa nemus\u00EDte o ni\u010D stara\u0165.",Browsers:"*Prehliada\u010De*: MathJax pracuje vo v\u0161etk\u00FDch modern\u00FDch prehliada\u010Doch, vr\u00E1tane IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u00E4\u010D\u0161ine mobiln\u00FDch prehliada\u010Dov.",Menu:"*Matematick\u00E9 menu*: MathJax prid\u00E1va k rovniciam kontextov\u00E9 menu. Pre zobrazenie menu kliknite prav\u00FDm tla\u010Didlom my\u0161i alebo s podr\u017Ean\u00EDm kl\u00E1vesy Ctrl na ktor\u00FAko\u013Evek matematiku.",ShowMath:"*Zobrazi\u0165 matematiku ako* v\u00E1m umo\u017En\u00ED prehliadnu\u0165 si zdrojov\u00FD k\u00F3d vzorca pre skop\u00EDrovanie (ako MathML alebo v p\u00F4vodnom form\u00E1te).",Settings:"*Nastavenia* v\u00E1m umo\u017E\u0148uj\u00FA prisp\u00F4sobi\u0165 si niektor\u00E9 funkcie MathJaxu, napr. ve\u013Ekos\u0165 matematiky alebo mechanizmy pou\u017E\u00EDvan\u00E9 k zobrazovaniu rovn\u00EDc.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvoli\u0165 si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pre menu a chybov\u00E9 hl\u00E1senia.",Zoom:"*Matematick\u00FD zoom*: Ak v\u00E1m \u010D\u00EDtanie rovnice rob\u00ED probl\u00E9my, Mathjax V\u00E1m umo\u017En\u00ED ich zv\u00E4\u010D\u0161i\u0165, aby ste ju lep\u0161ie videli.",Accessibilty:"*Dostupnos\u0165*: MathJax automaticky funguje s \u010D\u00EDta\u010Dkami obrazovky, aby matematiku spr\u00EDstupnil zrakovo postihnut\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDva\u0165 ist\u00E9 matematick\u00E9 p\u00EDsma, ak ich m\u00E1te v po\u010D\u00EDta\u010Di nain\u0161talovan\u00E9; v opa\u010Dnom pr\u00EDpade pou\u017Eije p\u00EDsma webov\u00E9. Napriek tomu, \u017Ee to nie je nutn\u00E9, lok\u00E1lne nain\u0161talovan\u00E9 p\u00EDsma ur\u00FDchlia s\u00E1dzanie. Odpor\u00FA\u010Dame nain\u0161talova\u0165 [p\u00EDsma STIX](%1).",CloseDialog:"Zavri\u0165 okno s n\u00E1povedou"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HelpDialog.js"); diff --git a/localization/sk/MathML.js b/localization/sk/MathML.js index 2286b33d91..cd6b34442e 100644 --- a/localization/sk/MathML.js +++ b/localization/sk/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"Nevhodn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spusti\u0165 MathPlayer.\n\nAk nie je MathPlayer nain\u0161talovan\u00FD, budete si ho musie\u0165 najprv nain\u0161talova\u0165.\nInak mo\u017Eno spustenie ovl\u00E1dac\u00EDch prvkov ActiveX br\u00E1ni va\u0161e bezpe\u010Dnostn\u00E9\nnastavenie. Kliknite v ponuke N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148.\nSkontrolujte, \u010Di s\u00FA povolen\u00E9 mo\u017Enosti \u201ESp\u00FA\u0161\u0165a\u0165 ovl\u00E1dacie prvky ActiveX\u201C\na \u201EChovanie skriptov a bin\u00E1rnych s\u00FAborov\u201C.\n\nMoment\u00E1lne uvid\u00EDte miesto vys\u00E1dzanej matematiky chybov\u00E9 hl\u00E1senia.",CantCreateXMLParser:"MathJax nem\u00F4\u017Ee vytvori\u0165 syntaktick\u00FD analyz\u00E1tor XML pre MathML.\nSkontrolujte, \u010Di m\u00E1te povolen\u00E9 nastavenie \u201ESkriptova\u0165 ovl\u00E1dacie\nprvky ActiveX ozna\u010Den\u00E9 ako bezpe\u010Dn\u00E9\u201C (v ponuke N\u00E1stroje\nkliknite na polo\u017Eku Mo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku\nZabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148).\n\nMathJax nebude m\u00F4c\u0165 spracov\u00E1va\u0165 rovnice v MathML",UnknownNodeType:"Nezn\u00E1my typ uzla: %1",UnexpectedTextNode:"Neo\u010Dak\u00E1van\u00FD textov\u00FD uzol: %1",ErrorParsingMathML:"Chyba pri anal\u00FDze MathML",ParsingError:"Chyba pri anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 jedin\u00FDm elementom",MathMLRootElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 elementom \u003Cmath\u003E, nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathML.js"); +MathJax.Localization.addTranslation("sk","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"Nevhodn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spusti\u0165 MathPlayer.\n\nAk nie je MathPlayer nain\u0161talovan\u00FD, budete si ho musie\u0165 najprv nain\u0161talova\u0165.\nInak mo\u017Eno spustenie ovl\u00E1dac\u00EDch prvkov ActiveX br\u00E1ni va\u0161e bezpe\u010Dnostn\u00E9\nnastavenie. Kliknite v ponuke N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148.\nSkontrolujte, \u010Di s\u00FA povolen\u00E9 mo\u017Enosti \u201ESp\u00FA\u0161\u0165a\u0165 ovl\u00E1dacie prvky ActiveX\u201C\na \u201EChovanie skriptov a bin\u00E1rnych s\u00FAborov\u201C.\n\nMoment\u00E1lne uvid\u00EDte miesto vys\u00E1dzanej matematiky chybov\u00E9 hl\u00E1senia.",CantCreateXMLParser:"MathJax nem\u00F4\u017Ee vytvori\u0165 syntaktick\u00FD analyz\u00E1tor XML pre MathML.\nSkontrolujte, \u010Di m\u00E1te povolen\u00E9 nastavenie \u201ESkriptova\u0165 ovl\u00E1dacie\nprvky ActiveX ozna\u010Den\u00E9 ako bezpe\u010Dn\u00E9\u201C (v ponuke N\u00E1stroje\nkliknite na polo\u017Eku Mo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku\nZabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148).\n\nMathJax nebude m\u00F4c\u0165 spracov\u00E1va\u0165 rovnice v MathML",UnknownNodeType:"Nezn\u00E1my typ uzla: %1",UnexpectedTextNode:"Neo\u010Dak\u00E1van\u00FD textov\u00FD uzol: %1",ErrorParsingMathML:"Chyba pri anal\u00FDze MathML",ParsingError:"Chyba pri anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 jedin\u00FDm elementom",MathMLRootElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 elementom \u003Cmath\u003E, nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathML.js"); diff --git a/localization/sk/MathMenu.js b/localization/sk/MathMenu.js index 5bdce7d579..09c8b26bff 100644 --- a/localization/sk/MathMenu.js +++ b/localization/sk/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Zobrazi\u0165 matematiku ako",MathMLcode:"MathML k\u00F3d",OriginalMathML:"P\u00F4vodn\u00FD MathML",TeXCommands:"Pr\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u00F4vodn\u00E1 forma",ErrorMessage:"Chybov\u00E9 hl\u00E1senie",Annotation:"Anot\u00E1cia",TeX:"TeX",StarMath:"StarMath",Maple:"Javor",ContentMathML:"Obsah MathML",OpenMath:"OpenMath",texHints:"Zobrazi\u0165 TeX tipy v MathML",Settings:"Nastavenia matematiky",ZoomTrigger:"Aktiv\u00E1cia zoomu",Hover:"Prejdenie my\u0161ou",Click:"Kliknutie",DoubleClick:"Dvojit\u00E9 kliknutie",NoZoom:"Bez zoomu",TriggerRequires:"Aktiv\u00E1cia vy\u017Eaduje:",Option:"Mo\u017Enos\u0165",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Miera zoomu",Renderer:"Vykres\u013Eovanie matematiky",MPHandles:"Necha\u0165 MathPlayer spracov\u00E1va\u0165:",MenuEvents:"Udalosti menu",MouseEvents:"Udalosti my\u0161i",MenuAndMouse:"Udalosti my\u0161i a menu",FontPrefs:"Preferencia typu p\u00EDsma",ForHTMLCSS:"Pre HTML-CSS",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1lny)",TeXWeb:"TeX (webov\u00FD)",TeXImage:"TeX (obr\u00E1zkov\u00FD)",STIXLocal:"STIX (lok\u00E1lny)",STIXWeb:"STIX (webov\u00FD)",AsanaMathWeb:"Asana Math (webov\u00FD)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prehliada\u010D",Scale:"\u0160k\u00E1lova\u0165 v\u0161etku matematiku",Discoverable:"Zv\u00FDraznit p\u0159i prejden\u00ED my\u0161ou",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDta\u0165 z URL\u2026",About:"O MathJaxe",Help:"N\u00E1poveda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00FA se webov\u00E9 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00FA sa obr\u00E1zkov\u00E9 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E9 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 p\u00EDsma sady Unicode",wofforotffonts:"p\u00EDsma WOFF alebo OTF",eotffonts:"p\u00EDsma EOT",svgfonts:"p\u00EDsma SVG",WebkitNativeMMLWarning:"V\u00E1\u0161 prehliada\u010D zjavne nepodporuje MathML, tak\u017Ee prepnutie na MathML v\u00FDstup m\u00F4\u017Ee zp\u00F4sobi\u0165, \u017Ee bude matematika na tejto str\u00E1nke ne\u010Ditate\u013En\u00E1.",MSIENativeMMLWarning:"Internet Explorer vy\u017Eaduje plugin MathPlayer na spracovanie v\u00FDstupu MathML",OperaNativeMMLWarning:"Podpora prehliada\u010Da Opera pre MathML je obmedzen\u00E1, \u010Di\u017Ee prechod k v\u00FDstupu MathML m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie niektor\u00FDch v\u00FDrazov",SafariNativeMMLWarning:"Vstavan\u00E1 podpora v\u00E1\u0161ho prehliada\u010Da pre MathML neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJax-om, \u010Do m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie ist\u00FDch v\u00FDrazov",FirefoxNativeMMLWarning:"Vstavan\u00E1 podpora MathML v\u00E1\u0161ho prehliada\u010Da neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJaxom, \u010Do znamen\u00E1, \u017Ee niektor\u00E9 v\u00FDrazy sa nebud\u00FA vykres\u013Eova\u0165 spr\u00E1vne.",MSIESVGWarning:"SVG nie je implementovan\u00E9 v prehliada\u010Doch Internet Explorer pred verziou IE9 a v emul\u00E1ciach verzi\u00ED IE8 \u010Di ni\u017E\u0161\u00EDch. Prepnutie na v\u00FDstup SVG sp\u00F4sob\u00ED, \u017Ee sa matematika nebude zobrazova\u0165 spr\u00E1vne.",LoadURL:"Na\u010D\u00EDta\u0165 d\u00E1ta prekladu z tejto adresy URL:",BadURL:"Adresa URL mus\u00ED by\u0165 adresou s\u00FAboru p\u00EDsan\u00E9ho v JavaScripte, ktor\u00FD definuje d\u00E1ta prekladu pre MathJax. S\u00FAbory JavaScriptu maj\u00FA zvy\u010Dajne predponu '.js'.",BadData:"Nepodarilo sa na\u010D\u00EDta\u0165 d\u00E1ta prekladu z %1",SwitchAnyway:"Prajete si aj napriek tomu prepn\u00FA\u0165 vykres\u013Eovanie?\n\n(Stla\u010Dte OK pre prepnutie, ZRU\u0160I\u0164 pre zru\u0161enie s aktu\u00E1lnym vykres\u013Eovan\u00EDm)",ScaleMath:"Na\u0161k\u00E1lova\u0165 v\u0161etku matematiku (v porovnan\u00ED s okolit\u00FDm textom) o",NonZeroScale:"\u0160k\u00E1la nesmie by\u0165 nulov\u00E1",PercentScale:"\u0160k\u00E1la mus\u00ED by\u0165 percentom (napr\u00EDklad 120%%)",IE8warning:"T\u00FDmto deaktivujete menu MathJaxu a mo\u017Enosti zoomu, no pou\u017Eit\u00EDm kombin\u00E1cie Alt+Click na v\u00FDraz z\u00EDskate menu MathJaxu\n\nNaozaj si prajete zmeni\u0165 nastavenia MathPlayer-u?",IE9warning:"Kontextov\u00E9 menu MathJaxu bude vypnut\u00E9, no pou\u017Eite kombin\u00E1ciu Alt+Click na v\u00FDraz pre z\u00EDskanie nov\u00E9ho menu",NoOriginalForm:"P\u00F4vodn\u00E1 forma nie je dostupn\u00E1",Close:"Zatvori\u0165",EqSource:"Zdroj rovn\u00EDc pre MathJax",CloseAboutDialog:'Zatvori\u0165 okno "O MathJaxe"',FastPreview:"Rychl\u00FD n\u00E1h\u013Ead",AssistiveMML:"Pomocn\u00E9 MathML",InTabOrder:"Zaradit do postupnosti tabul\u00E1torov"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathMenu.js"); +MathJax.Localization.addTranslation("sk","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Zobrazi\u0165 matematiku ako",MathMLcode:"MathML k\u00F3d",OriginalMathML:"P\u00F4vodn\u00FD MathML",TeXCommands:"Pr\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u00F4vodn\u00E1 forma",ErrorMessage:"Chybov\u00E9 hl\u00E1senie",Annotation:"Anot\u00E1cia",TeX:"TeX",StarMath:"StarMath",Maple:"Javor",ContentMathML:"Obsah MathML",OpenMath:"OpenMath",texHints:"Zobrazi\u0165 TeX tipy v MathML",Settings:"Nastavenia matematiky",ZoomTrigger:"Aktiv\u00E1cia zoomu",Hover:"Prejdenie my\u0161ou",Click:"Kliknutie",DoubleClick:"Dvojit\u00E9 kliknutie",NoZoom:"Bez zoomu",TriggerRequires:"Aktiv\u00E1cia vy\u017Eaduje:",Option:"Mo\u017Enos\u0165",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Miera zoomu",Renderer:"Vykres\u013Eovanie matematiky",MPHandles:"Necha\u0165 MathPlayer spracov\u00E1va\u0165:",MenuEvents:"Udalosti menu",MouseEvents:"Udalosti my\u0161i",MenuAndMouse:"Udalosti my\u0161i a menu",FontPrefs:"Preferencia typu p\u00EDsma",ForHTMLCSS:"Pre HTML-CSS",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1lny)",TeXWeb:"TeX (webov\u00FD)",TeXImage:"TeX (obr\u00E1zkov\u00FD)",STIXLocal:"STIX (lok\u00E1lny)",STIXWeb:"STIX (webov\u00FD)",AsanaMathWeb:"Asana Math (webov\u00FD)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prehliada\u010D",Scale:"\u0160k\u00E1lova\u0165 v\u0161etku matematiku",Discoverable:"Zv\u00FDraznit p\u0159i prejden\u00ED my\u0161ou",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDta\u0165 z URL\u2026",About:"O MathJaxe",Help:"N\u00E1poveda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00FA se webov\u00E9 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00FA sa obr\u00E1zkov\u00E9 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E9 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 p\u00EDsma sady Unicode",wofforotffonts:"p\u00EDsma WOFF alebo OTF",eotffonts:"p\u00EDsma EOT",svgfonts:"p\u00EDsma SVG",WebkitNativeMMLWarning:"V\u00E1\u0161 prehliada\u010D zjavne nepodporuje MathML, tak\u017Ee prepnutie na MathML v\u00FDstup m\u00F4\u017Ee zp\u00F4sobi\u0165, \u017Ee bude matematika na tejto str\u00E1nke ne\u010Ditate\u013En\u00E1.",MSIENativeMMLWarning:"Internet Explorer vy\u017Eaduje plugin MathPlayer na spracovanie v\u00FDstupu MathML",OperaNativeMMLWarning:"Podpora prehliada\u010Da Opera pre MathML je obmedzen\u00E1, \u010Di\u017Ee prechod k v\u00FDstupu MathML m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie niektor\u00FDch v\u00FDrazov",SafariNativeMMLWarning:"Vstavan\u00E1 podpora v\u00E1\u0161ho prehliada\u010Da pre MathML neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJax-om, \u010Do m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie ist\u00FDch v\u00FDrazov",FirefoxNativeMMLWarning:"Vstavan\u00E1 podpora MathML v\u00E1\u0161ho prehliada\u010Da neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJaxom, \u010Do znamen\u00E1, \u017Ee niektor\u00E9 v\u00FDrazy sa nebud\u00FA vykres\u013Eova\u0165 spr\u00E1vne.",MSIESVGWarning:"SVG nie je implementovan\u00E9 v prehliada\u010Doch Internet Explorer pred verziou IE9 a v emul\u00E1ciach verzi\u00ED IE8 \u010Di ni\u017E\u0161\u00EDch. Prepnutie na v\u00FDstup SVG sp\u00F4sob\u00ED, \u017Ee sa matematika nebude zobrazova\u0165 spr\u00E1vne.",LoadURL:"Na\u010D\u00EDta\u0165 d\u00E1ta prekladu z tejto adresy URL:",BadURL:"Adresa URL mus\u00ED by\u0165 adresou s\u00FAboru p\u00EDsan\u00E9ho v JavaScripte, ktor\u00FD definuje d\u00E1ta prekladu pre MathJax. S\u00FAbory JavaScriptu maj\u00FA zvy\u010Dajne predponu '.js'.",BadData:"Nepodarilo sa na\u010D\u00EDta\u0165 d\u00E1ta prekladu z %1",SwitchAnyway:"Prajete si aj napriek tomu prepn\u00FA\u0165 vykres\u013Eovanie?\n\n(Stla\u010Dte OK pre prepnutie, ZRU\u0160I\u0164 pre zru\u0161enie s aktu\u00E1lnym vykres\u013Eovan\u00EDm)",ScaleMath:"Na\u0161k\u00E1lova\u0165 v\u0161etku matematiku (v porovnan\u00ED s okolit\u00FDm textom) o",NonZeroScale:"\u0160k\u00E1la nesmie by\u0165 nulov\u00E1",PercentScale:"\u0160k\u00E1la mus\u00ED by\u0165 percentom (napr\u00EDklad 120%%)",IE8warning:"T\u00FDmto deaktivujete menu MathJaxu a mo\u017Enosti zoomu, no pou\u017Eit\u00EDm kombin\u00E1cie Alt+Click na v\u00FDraz z\u00EDskate menu MathJaxu\n\nNaozaj si prajete zmeni\u0165 nastavenia MathPlayer-u?",IE9warning:"Kontextov\u00E9 menu MathJaxu bude vypnut\u00E9, no pou\u017Eite kombin\u00E1ciu Alt+Click na v\u00FDraz pre z\u00EDskanie nov\u00E9ho menu",NoOriginalForm:"P\u00F4vodn\u00E1 forma nie je dostupn\u00E1",Close:"Zatvori\u0165",EqSource:"Zdroj rovn\u00EDc pre MathJax",CloseAboutDialog:'Zatvori\u0165 okno "O MathJaxe"',FastPreview:"Rychl\u00FD n\u00E1h\u013Ead",AssistiveMML:"Pomocn\u00E9 MathML",InTabOrder:"Zaradit do postupnosti tabul\u00E1torov"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathMenu.js"); diff --git a/localization/sk/TeX.js b/localization/sk/TeX.js index 7c7f46f04a..dbe7de8fdf 100644 --- a/localization/sk/TeX.js +++ b/localization/sk/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Prebyto\u010Dn\u00E1 otv\u00E1raj\u00FAca alebo uzavieracia z\u00E1tvorka",ExtraCloseMissingOpen:"Prebyto\u010Dn\u00E1 uzavieracia alebo otv\u00E1raj\u00FAca z\u00E1tvorka",MissingLeftExtraRight:"Ch\u00FDbaj\u00FAci \\left alebo prebyto\u010Dn\u00FD \\right",MissingScript:"Ch\u00FDba argument horn\u00E9ho alebo doln\u00E9ho indexu",ExtraLeftMissingRight:"Prebyto\u010Dn\u00FD \\left alebo ch\u00FDbaj\u00FAci \\right",Misplaced:"Chybne umiestnen\u00FD %1",MissingOpenForSub:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre doln\u00FD index",MissingOpenForSup:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre horn\u00FD index",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 pou\u017Eitie %1",EnvBadEnd:"\\begin{%1} bolo uzavret\u00E9 \\end{%2}",EnvMissingEnd:"Ch\u00FDbaj\u00FAci \\end{%1}",MissingBoxFor:"Ch\u00FDba box pre %1",MissingCloseBrace:"Ch\u00FDba uzavieracia z\u00E1tvorka",UndefinedControlSequence:"Nedefinovan\u00E1 riadiaca sekvencia %1",DoubleExponent:"Dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleSubscripts:"Dvojit\u00FD doln\u00FD index: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleExponentPrime:"Symbol \u010Diarky sp\u00F4sobil dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",CantUseHash1:"V matematickom re\u017Eime nem\u00F4\u017Eete pou\u017Ei\u0165 znak \u201E#\u201C pre parametre makier",MisplacedMiddle:"%1 mus\u00ED by\u0165 medzi \\left a \\right",MisplacedLimits:"%1 je povolen\u00E9 len pri oper\u00E1toroch",MisplacedMoveRoot:"%1 sa m\u00F4\u017Ee vyskytn\u00FA\u0165 len v koreni",MultipleCommand:"Viacn\u00E1sobn\u00FD %1",IntegerArg:"Argument pre %1 mus\u00ED by\u0165 cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nie je primit\u00EDvny element",InvalidMathMLAttr:"Neplatn\u00FD atrib\u00FAt MathML: %1",UnknownAttrForElement:"%1 nie je zn\u00E1mym atrib\u00FAtom pre %2",MaxMacroSub1:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED makra MathJaxu; nejde o rekurz\u00EDvne volanie makra?",MaxMacroSub2:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED MathJaxu; nejde o rekurz\u00EDvne LaTeXov\u00E9 prostredie?",MissingArgFor:"Ch\u00FDba argument pre %1",ExtraAlignTab:"Prebyto\u010Dn\u00FD vyrovn\u00E1vac\u00ED tabul\u00E1tor v texte \\cases",BracketMustBeDimension:"Z\u00E1tvorkov\u00FD argument pre %1 mus\u00ED by\u0165 rozmer",InvalidEnv:"Neplatn\u00E1 premenn\u00E1 prostredia \u201E%1\u201C",UnknownEnv:"Nezn\u00E1me prostredie \u201E%1\u201C",ExtraCloseLooking:"Prebyto\u010Dn\u00E1 uzavieracia z\u00E1tvorka, zatia\u013E \u010Do bolo o\u010Dak\u00E1van\u00E9 %1",MissingCloseBracket:"Pri argumente pre %1 nebola n\u00E1jden\u00E1 uzavieracia \u201E]\u201C",MissingOrUnrecognizedDelim:"Ch\u00FDbaj\u00FAci alebo nerozpoznan\u00FD odde\u013Eova\u010D pre %1",MissingDimOrUnits:"Ch\u00FDbaj\u00FAci rozmer alebo jeho jednotka pre %1",TokenNotFoundForCommand:"Nen\u00E1jden\u00E9 %1 pre %2",MathNotTerminated:"V textovom boxe nie je ukon\u010Den\u00E1 matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parameter makra",MaxBufferSize:"Prekro\u010Den\u00E1 ve\u013Ekos\u0165 internej pam\u00E4te MathJaxu; nejde o rekurz\u00EDvne volanie makra?",CommandNotAllowedInEnv:"V prostred\u00ED %2 nie je povolen\u00FD %1",MultipleLabel:"Viacn\u00E1sobn\u00E1 defin\u00EDcia ozna\u010Denia %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED by\u0165 umiestnen\u00E9 na za\u010Diatku riadku",IllegalAlign:"Pri %1 uveden\u00E9 neplatn\u00E9 zarovnanie",BadMathStyleFor:"Chybn\u00FD \u0161t\u00FDl matematiky pri %1",PositiveIntegerArg:"Argument %1 mus\u00ED by\u0165 kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zanorovanie \u0161trukt\u00FAry rovn\u00EDc",MultlineRowsOneCol:"Riadky v prostred\u00ED %1 musia ma\u0165 pr\u00E1ve jeden st\u013Apec",MultipleBBoxProperty:"Pri %2 je %1 uveden\u00E9 dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevyzer\u00E1 ako farba, rozmer paddingu alebo \u0161t\u00FDl",ExtraEndMissingBegin:"Prebato\u010Dn\u00FD %1 alebo ch\u00FDbaj\u00FAci \\begingroup",GlobalNotFollowedBy:"Za %1 ch\u00FDba \\let, \\def alebo \\newcommand",UndefinedColorModel:"Farebn\u00FD model \u201E%1\u201C nie je definovan\u00FD",ModelArg1:"Farebn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00FA tri \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desatinn\u00E9 \u010D\u00EDslo",ModelArg2:"Farebn\u00E9 hodnoty modelu %1 musia le\u017Ea\u0165 medzi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prv\u00FDm argumentom %1 mus\u00ED by\u0165 n\u00E1zov riadiacej sekvencie",NewextarrowArg2:"Druh\u00FDm argumentom %1 musia by\u0165 dve cel\u00E9 \u010D\u00EDsla oddelen\u00E9 \u010Diarkou",NewextarrowArg3:"Tret\u00EDm argumentom %1 mus\u00ED by\u0165 \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nen\u00E1jden\u00FD uzavierac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zov riadiacej sekvencie pre %1",IllegalParamNumber:"Pre %1 uveden\u00FD neplatn\u00FD po\u010Det parametrov",MissingCS:"Za %1 mus\u00ED by\u0165 riadiaca sekvencia",CantUseHash2:"Chybn\u00E9 pou\u017Eitie # v \u0161abl\u00F3ne pre %1",SequentialParam:"Parametre pre %1 musia by\u0165 \u010D\u00EDslovan\u00E9 postupne",MissingReplacementString:"V defin\u00EDcii %1 ch\u00FDba nahradzuj\u00FAci re\u0165azec",MismatchUseDef:"Pou\u017Eitie %1 nezodpoved\u00E1 jeho defin\u00EDcii",RunawayArgument:"Zbl\u00FAdil\u00FD argument pre %1?",NoClosingDelim:"Nepodarilo sa n\u00E1js\u0165 ukon\u010Dovac\u00ED znak pre %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/TeX.js"); +MathJax.Localization.addTranslation("sk","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Prebyto\u010Dn\u00E1 otv\u00E1raj\u00FAca alebo uzavieracia z\u00E1tvorka",ExtraCloseMissingOpen:"Prebyto\u010Dn\u00E1 uzavieracia alebo otv\u00E1raj\u00FAca z\u00E1tvorka",MissingLeftExtraRight:"Ch\u00FDbaj\u00FAci \\left alebo prebyto\u010Dn\u00FD \\right",MissingScript:"Ch\u00FDba argument horn\u00E9ho alebo doln\u00E9ho indexu",ExtraLeftMissingRight:"Prebyto\u010Dn\u00FD \\left alebo ch\u00FDbaj\u00FAci \\right",Misplaced:"Chybne umiestnen\u00FD %1",MissingOpenForSub:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre doln\u00FD index",MissingOpenForSup:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre horn\u00FD index",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 pou\u017Eitie %1",EnvBadEnd:"\\begin{%1} bolo uzavret\u00E9 \\end{%2}",EnvMissingEnd:"Ch\u00FDbaj\u00FAci \\end{%1}",MissingBoxFor:"Ch\u00FDba box pre %1",MissingCloseBrace:"Ch\u00FDba uzavieracia z\u00E1tvorka",UndefinedControlSequence:"Nedefinovan\u00E1 riadiaca sekvencia %1",DoubleExponent:"Dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleSubscripts:"Dvojit\u00FD doln\u00FD index: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleExponentPrime:"Symbol \u010Diarky sp\u00F4sobil dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",CantUseHash1:"V matematickom re\u017Eime nem\u00F4\u017Eete pou\u017Ei\u0165 znak \u201E#\u201C pre parametre makier",MisplacedMiddle:"%1 mus\u00ED by\u0165 medzi \\left a \\right",MisplacedLimits:"%1 je povolen\u00E9 len pri oper\u00E1toroch",MisplacedMoveRoot:"%1 sa m\u00F4\u017Ee vyskytn\u00FA\u0165 len v koreni",MultipleCommand:"Viacn\u00E1sobn\u00FD %1",IntegerArg:"Argument pre %1 mus\u00ED by\u0165 cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nie je primit\u00EDvny element",InvalidMathMLAttr:"Neplatn\u00FD atrib\u00FAt MathML: %1",UnknownAttrForElement:"%1 nie je zn\u00E1mym atrib\u00FAtom pre %2",MaxMacroSub1:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED makra MathJaxu; nejde o rekurz\u00EDvne volanie makra?",MaxMacroSub2:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED MathJaxu; nejde o rekurz\u00EDvne LaTeXov\u00E9 prostredie?",MissingArgFor:"Ch\u00FDba argument pre %1",ExtraAlignTab:"Prebyto\u010Dn\u00FD vyrovn\u00E1vac\u00ED tabul\u00E1tor v texte \\cases",BracketMustBeDimension:"Z\u00E1tvorkov\u00FD argument pre %1 mus\u00ED by\u0165 rozmer",InvalidEnv:"Neplatn\u00E1 premenn\u00E1 prostredia \u201E%1\u201C",UnknownEnv:"Nezn\u00E1me prostredie \u201E%1\u201C",ExtraCloseLooking:"Prebyto\u010Dn\u00E1 uzavieracia z\u00E1tvorka, zatia\u013E \u010Do bolo o\u010Dak\u00E1van\u00E9 %1",MissingCloseBracket:"Pri argumente pre %1 nebola n\u00E1jden\u00E1 uzavieracia \u201E]\u201C",MissingOrUnrecognizedDelim:"Ch\u00FDbaj\u00FAci alebo nerozpoznan\u00FD odde\u013Eova\u010D pre %1",MissingDimOrUnits:"Ch\u00FDbaj\u00FAci rozmer alebo jeho jednotka pre %1",TokenNotFoundForCommand:"Nen\u00E1jden\u00E9 %1 pre %2",MathNotTerminated:"V textovom boxe nie je ukon\u010Den\u00E1 matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parameter makra",MaxBufferSize:"Prekro\u010Den\u00E1 ve\u013Ekos\u0165 internej pam\u00E4te MathJaxu; nejde o rekurz\u00EDvne volanie makra?",CommandNotAllowedInEnv:"V prostred\u00ED %2 nie je povolen\u00FD %1",MultipleLabel:"Viacn\u00E1sobn\u00E1 defin\u00EDcia ozna\u010Denia %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED by\u0165 umiestnen\u00E9 na za\u010Diatku riadku",IllegalAlign:"Pri %1 uveden\u00E9 neplatn\u00E9 zarovnanie",BadMathStyleFor:"Chybn\u00FD \u0161t\u00FDl matematiky pri %1",PositiveIntegerArg:"Argument %1 mus\u00ED by\u0165 kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zanorovanie \u0161trukt\u00FAry rovn\u00EDc",MultlineRowsOneCol:"Riadky v prostred\u00ED %1 musia ma\u0165 pr\u00E1ve jeden st\u013Apec",MultipleBBoxProperty:"Pri %2 je %1 uveden\u00E9 dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevyzer\u00E1 ako farba, rozmer paddingu alebo \u0161t\u00FDl",ExtraEndMissingBegin:"Prebato\u010Dn\u00FD %1 alebo ch\u00FDbaj\u00FAci \\begingroup",GlobalNotFollowedBy:"Za %1 ch\u00FDba \\let, \\def alebo \\newcommand",UndefinedColorModel:"Farebn\u00FD model \u201E%1\u201C nie je definovan\u00FD",ModelArg1:"Farebn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00FA tri \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desatinn\u00E9 \u010D\u00EDslo",ModelArg2:"Farebn\u00E9 hodnoty modelu %1 musia le\u017Ea\u0165 medzi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prv\u00FDm argumentom %1 mus\u00ED by\u0165 n\u00E1zov riadiacej sekvencie",NewextarrowArg2:"Druh\u00FDm argumentom %1 musia by\u0165 dve cel\u00E9 \u010D\u00EDsla oddelen\u00E9 \u010Diarkou",NewextarrowArg3:"Tret\u00EDm argumentom %1 mus\u00ED by\u0165 \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nen\u00E1jden\u00FD uzavierac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zov riadiacej sekvencie pre %1",IllegalParamNumber:"Pre %1 uveden\u00FD neplatn\u00FD po\u010Det parametrov",MissingCS:"Za %1 mus\u00ED by\u0165 riadiaca sekvencia",CantUseHash2:"Chybn\u00E9 pou\u017Eitie # v \u0161abl\u00F3ne pre %1",SequentialParam:"Parametre pre %1 musia by\u0165 \u010D\u00EDslovan\u00E9 postupne",MissingReplacementString:"V defin\u00EDcii %1 ch\u00FDba nahradzuj\u00FAci re\u0165azec",MismatchUseDef:"Pou\u017Eitie %1 nezodpoved\u00E1 jeho defin\u00EDcii",RunawayArgument:"Zbl\u00FAdil\u00FD argument pre %1?",NoClosingDelim:"Nepodarilo sa n\u00E1js\u0165 ukon\u010Dovac\u00ED znak pre %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/TeX.js"); diff --git a/localization/sk/sk.js b/localization/sk/sk.js index 64db2c949d..5c86166995 100644 --- a/localization/sk/sk.js +++ b/localization/sk/sk.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sk",null,{menuTitle:"sloven\u010Dina",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"Chyba spracovania matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDtava sa %1",Loading:"Na\u010D\u00EDtavam",LoadFailed:"Nepodarilo sa na\u010D\u00EDta\u0165 s\u00FAbor: %1",ProcessMath:"Spracuje sa matematika: %1 %%",Processing:"Sprac\u00FAvam",TypesetMath:"S\u00E1dzanie matematiky: %1 %%",Typesetting:"S\u00E1dzanie",MathJaxNotSupported:"V\u00E1\u0161 prehliada\u010D nepodporuje MathJax",ErrorTips:"Tipy k ladeniu: pou\u017Eite %%1, prehliadajte %%2 v konzole prehliada\u010Da"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/sk.js"); +MathJax.Localization.addTranslation("sk",null,{menuTitle:"sloven\u010Dina",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Chyba spracovania matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDtava sa %1",Loading:"Na\u010D\u00EDtavam",LoadFailed:"Nepodarilo sa na\u010D\u00EDta\u0165 s\u00FAbor: %1",ProcessMath:"Spracuje sa matematika: %1 %%",Processing:"Sprac\u00FAvam",TypesetMath:"S\u00E1dzanie matematiky: %1 %%",Typesetting:"S\u00E1dzanie",MathJaxNotSupported:"V\u00E1\u0161 prehliada\u010D nepodporuje MathJax",ErrorTips:"Tipy k ladeniu: pou\u017Eite %%1, prehliadajte %%2 v konzole prehliada\u010Da"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/sk.js"); diff --git a/localization/sl/FontWarnings.js b/localization/sl/FontWarnings.js index 8e7437c788..64fda0660a 100644 --- a/localization/sl/FontWarnings.js +++ b/localization/sl/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",imageFonts:"MathJax ne uporablja lokalnih ali spletnih pisav, temve\u010D svoje slikovne pisave. Izrisovanje bo zato po\u010Dasnej\u0161e, matematika pa se morda ne bo natisnila v popolni lo\u010Dljivosti va\u0161ega tiskalnika.",noFonts:"MathJax ne more najti pisave za prikaz matematike, slikovne pisave pa niso na razpolago, zato v upanju, da jih bo va\u0161 brskalnik lahko prikazal, uporablja generi\u010Dne unikodne znake. Nekateri znaki morda ne bodo prikazani pravilno ali pa sploh ne bodo prikazani.",webFonts:"Ve\u010Dina sodobnih brskalnikov omogo\u010Da prenos pisav prek spleta. S posodobitvijo (ali zamenjavo) svojega brskalnika boste morda lahko izbolj\u0161ali kakovost matematike na tej strani.",fonts:"MathJax lahko uporablja [fonte STIX](%1) ali [fonte MathJax TeX](%2). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te fonte.",STIXPage:"Stran je oblikovana za uporabo [pisav STIX](%1). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te pisave.",TeXPage:"Stran je oblikovana za uporabo [pisav MathJax Tex](%1). Za izbolj\u0161anje svoje izku\u0161nje z MathJax prenesite in namestite te pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/FontWarnings.js"); +MathJax.Localization.addTranslation("sl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",imageFonts:"MathJax ne uporablja lokalnih ali spletnih pisav, temve\u010D svoje slikovne pisave. Izrisovanje bo zato po\u010Dasnej\u0161e, matematika pa se morda ne bo natisnila v popolni lo\u010Dljivosti va\u0161ega tiskalnika.",noFonts:"MathJax ne more najti pisave za prikaz matematike, slikovne pisave pa niso na razpolago, zato v upanju, da jih bo va\u0161 brskalnik lahko prikazal, uporablja generi\u010Dne unikodne znake. Nekateri znaki morda ne bodo prikazani pravilno ali pa sploh ne bodo prikazani.",webFonts:"Ve\u010Dina sodobnih brskalnikov omogo\u010Da prenos pisav prek spleta. S posodobitvijo (ali zamenjavo) svojega brskalnika boste morda lahko izbolj\u0161ali kakovost matematike na tej strani.",fonts:"MathJax lahko uporablja [fonte STIX](%1) ali [fonte MathJax TeX](%2). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te fonte.",STIXPage:"Stran je oblikovana za uporabo [pisav STIX](%1). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te pisave.",TeXPage:"Stran je oblikovana za uporabo [pisav MathJax Tex](%1). Za izbolj\u0161anje svoje izku\u0161nje z MathJax prenesite in namestite te pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/FontWarnings.js"); diff --git a/localization/sl/HTML-CSS.js b/localization/sl/HTML-CSS.js index a803053cd8..2209f1becd 100644 --- a/localization/sl/HTML-CSS.js +++ b/localization/sl/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"Nalagam spletni font %1",CantLoadWebFont:"Spletne pisave %1 ni mogo\u010De nalo\u017Eiti",FirefoxCantLoadWebFont:"Firefox ne more nalo\u017Eiti spletnih pisav na oddaljenem gostitelju.",CantFindFontUsing:"Z uporabo %1 ne morem najti veljavne pisave.",WebFontsNotAvailable:"Web-Fonts niso na razpolago. Namesto njih uporabljam slikovne pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HTML-CSS.js"); +MathJax.Localization.addTranslation("sl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Nalagam spletni font %1",CantLoadWebFont:"Spletne pisave %1 ni mogo\u010De nalo\u017Eiti",FirefoxCantLoadWebFont:"Firefox ne more nalo\u017Eiti spletnih pisav na oddaljenem gostitelju.",CantFindFontUsing:"Z uporabo %1 ne morem najti veljavne pisave.",WebFontsNotAvailable:"Web-Fonts niso na razpolago. Namesto njih uporabljam slikovne pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HTML-CSS.js"); diff --git a/localization/sl/HelpDialog.js b/localization/sl/HelpDialog.js index 54c8cf3b1a..1b5e2c8a35 100644 --- a/localization/sl/HelpDialog.js +++ b/localization/sl/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Pomo\u010D za MathJax",MathJax:"*MathJax* je javaskriptna knji\u017Enica, ki ustvarjalcem spletnih strani omogo\u010Da vklju\u010Ditev matematike. Kot bralec ne potrebujete ni\u010Desar, da bi se to zgodilo.",Browsers:"*Brskalniki*: MathJax deluje v vseh sodobnih brskalnikih, vklju\u010Dno z IE6+, Firefoxom 3+, Chromeom 0.2+, Safarijem 2+, Opero 9.6+, in v ve\u010Dini mobilnih brskalnikov.",Menu:"*Meni ena\u010Db*: MathJax k ena\u010Dbam doda kontekstni meni. Za dostop do menija matematiko desno kliknite ali jo kliknite ob dr\u017Eanju tipke CTRL.",ShowMath:"*Prika\u017Ei matematiko kot* vam omogo\u010Da prikaz izvornega ozna\u010Devanja formule za kopiranje in lepljenje (kot MathML ali v izvorni obliki).",Settings:"*Nastavitve* vam dajo nadzor nad mo\u017Enostmi MathJaxa, kot so velikost matematike in mehanizem za prikaz ena\u010Db.",Language:"*Jezik* vam omogo\u010Da izbrati jezik, ki naj ga MathJax uporablja za svoje menije in opozorilna sporo\u010Dila.",Zoom:"*Math Zoom*: \u010De imate te\u017Eave pri branju ena\u010Dbe, jo lahko MathJax pove\u010Da, da jo boste bolje videli.",Accessibilty:"*Dostopnost*: MathJax samodejno deluje z bralniki zaslona in omogo\u010Da dostop do matematike tudi slepim in slabovidnim.",Fonts:"*Pisave*: MathJax bo uporabljal nekatere matemati\u010Dne pisave, \u010De so name\u0161\u010Dene na ra\u010Dunalniku, sicer pa pisave s spleta. \u010Ceprav niso nujne, bodo lokalno name\u0161\u010Dene pisave pospe\u0161ile prikaz. Predlagamo namestitev [pisav STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HelpDialog.js"); +MathJax.Localization.addTranslation("sl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Pomo\u010D za MathJax",MathJax:"*MathJax* je javaskriptna knji\u017Enica, ki ustvarjalcem spletnih strani omogo\u010Da vklju\u010Ditev matematike. Kot bralec ne potrebujete ni\u010Desar, da bi se to zgodilo.",Browsers:"*Brskalniki*: MathJax deluje v vseh sodobnih brskalnikih, vklju\u010Dno z IE6+, Firefoxom 3+, Chromeom 0.2+, Safarijem 2+, Opero 9.6+, in v ve\u010Dini mobilnih brskalnikov.",Menu:"*Meni ena\u010Db*: MathJax k ena\u010Dbam doda kontekstni meni. Za dostop do menija matematiko desno kliknite ali jo kliknite ob dr\u017Eanju tipke CTRL.",ShowMath:"*Prika\u017Ei matematiko kot* vam omogo\u010Da prikaz izvornega ozna\u010Devanja formule za kopiranje in lepljenje (kot MathML ali v izvorni obliki).",Settings:"*Nastavitve* vam dajo nadzor nad mo\u017Enostmi MathJaxa, kot so velikost matematike in mehanizem za prikaz ena\u010Db.",Language:"*Jezik* vam omogo\u010Da izbrati jezik, ki naj ga MathJax uporablja za svoje menije in opozorilna sporo\u010Dila.",Zoom:"*Math Zoom*: \u010De imate te\u017Eave pri branju ena\u010Dbe, jo lahko MathJax pove\u010Da, da jo boste bolje videli.",Accessibilty:"*Dostopnost*: MathJax samodejno deluje z bralniki zaslona in omogo\u010Da dostop do matematike tudi slepim in slabovidnim.",Fonts:"*Pisave*: MathJax bo uporabljal nekatere matemati\u010Dne pisave, \u010De so name\u0161\u010Dene na ra\u010Dunalniku, sicer pa pisave s spleta. \u010Ceprav niso nujne, bodo lokalno name\u0161\u010Dene pisave pospe\u0161ile prikaz. Predlagamo namestitev [pisav STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HelpDialog.js"); diff --git a/localization/sl/MathML.js b/localization/sl/MathML.js index 7707a6c542..9f9bae0a8d 100644 --- a/localization/sl/MathML.js +++ b/localization/sl/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"Neveljaven mglyph: %1",BadMglyphFont:"Neveljavna pisava: %1",MathPlayer:"MathJax ni mogel nastaviti programa MathPlayer.\n\n\u010Ce MathPlayer ni name\u0161\u010Den, ga morate najprej namestiti. Sicer morda njegov zahon prepre\u010Dujejo va\u0161e varnostne nastavitve. Uporabite element Internetne mo\u017Enosti [Internet Options] pod menijem Orodja [Tools] in izberite zavihek Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]. Preverite, alo so nastavitve za 'Za\u017Eeni krmilne elemente ActiveX' in 'Binarna in skriptna vedenja' omogo\u010Dene.\n\nTrenutno boste namesto matematike videli sporo\u010Dila o napakah.",CantCreateXMLParser:"MathJax ne more ustvariti raz\u010Dlenjevalnika XML za MathML. Preverite, ali je varnostna nastavitev 'Krmilni elementi Script ActiveX ozna\u010Deni kot varni za skriptiranje' omogo\u010Dena (da to preverite, v meniju Orodja [Tools] uporabite element Internetne mo\u017Enosti [Internet Options], nato izberite plo\u0161\u010Do Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]).",UnknownNodeType:"Neznana vrsta vozli\u0161\u010Da: %1",UnexpectedTextNode:"Nepri\u010Dakovano tekstovno vozli\u0161\u010De: %1",ErrorParsingMathML:"Napaka pri raz\u010Dlenjevanju MathML",ParsingError:"Napaka pri raz\u010Dlenjevanju MathML: %1",MathMLSingleElement:"MathML mora biti oblikovan z enim samim elementom",MathMLRootElement:"MathML mora biti oblikovan z elementom \u003Cmath\u003E, ne s korenom %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathML.js"); +MathJax.Localization.addTranslation("sl","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Neveljaven mglyph: %1",BadMglyphFont:"Neveljavna pisava: %1",MathPlayer:"MathJax ni mogel nastaviti programa MathPlayer.\n\n\u010Ce MathPlayer ni name\u0161\u010Den, ga morate najprej namestiti. Sicer morda njegov zahon prepre\u010Dujejo va\u0161e varnostne nastavitve. Uporabite element Internetne mo\u017Enosti [Internet Options] pod menijem Orodja [Tools] in izberite zavihek Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]. Preverite, alo so nastavitve za 'Za\u017Eeni krmilne elemente ActiveX' in 'Binarna in skriptna vedenja' omogo\u010Dene.\n\nTrenutno boste namesto matematike videli sporo\u010Dila o napakah.",CantCreateXMLParser:"MathJax ne more ustvariti raz\u010Dlenjevalnika XML za MathML. Preverite, ali je varnostna nastavitev 'Krmilni elementi Script ActiveX ozna\u010Deni kot varni za skriptiranje' omogo\u010Dena (da to preverite, v meniju Orodja [Tools] uporabite element Internetne mo\u017Enosti [Internet Options], nato izberite plo\u0161\u010Do Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]).",UnknownNodeType:"Neznana vrsta vozli\u0161\u010Da: %1",UnexpectedTextNode:"Nepri\u010Dakovano tekstovno vozli\u0161\u010De: %1",ErrorParsingMathML:"Napaka pri raz\u010Dlenjevanju MathML",ParsingError:"Napaka pri raz\u010Dlenjevanju MathML: %1",MathMLSingleElement:"MathML mora biti oblikovan z enim samim elementom",MathMLRootElement:"MathML mora biti oblikovan z elementom \u003Cmath\u003E, ne s korenom %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathML.js"); diff --git a/localization/sl/MathMenu.js b/localization/sl/MathMenu.js index c8a12f061f..a49143d809 100644 --- a/localization/sl/MathMenu.js +++ b/localization/sl/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Prika\u017Ei matematiko kot",MathMLcode:"Koda MathML",OriginalMathML:"Izvorni MathML",TeXCommands:"Ukazi TeX",AsciiMathInput:"Vnos AsciiMathML",Original:"Izvirna oblika",ErrorMessage:"Sporo\u010Dilo o napaki",Annotation:"Pripis",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML vsebine",OpenMath:"OpenMath",texHints:"V MathML prika\u017Ei namige TeX",Settings:"Nastavitve matematike",ZoomTrigger:"Pro\u017Eilec zumiranja",Hover:"Lebdenje",Click:"Kliknite",DoubleClick:"Dvokliknite",NoZoom:"Brez pove\u010Dave",TriggerRequires:"Pro\u017Eilec potrebuje:",Option:"Mo\u017Enost",Alt:"Alt",Command:"Ukaz",Control:"Kontrolnik",Shift:"Preklop",ZoomFactor:"Faktor zumiranja",Renderer:"Matemati\u010Dni izrisovalnik",MPHandles:"MathPlayer naj upravlja z:",MenuEvents:"Dogodki menija",MouseEvents:"Dogodki mi\u0161ke",MenuAndMouse:"Dogodki mi\u0161ke in menija",FontPrefs:"Nastavitve pisav",ForHTMLCSS:"Za HTML-CSS:",Auto:"Samodejno",TeXLocal:"TeX (lokalno)",TeXWeb:"TeX (splet)",TeXImage:"TeX (slika)",STIXLocal:"STIX (lokalno)",STIXWeb:"STIX (splet)",AsanaMathWeb:"Asana Math (splet)",GyrePagellaWeb:"Gyre Pagella (splet)",GyreTermesWeb:"Gyre Termes (splet)",LatinModernWeb:"Latin Modern (splet)",NeoEulerWeb:"Neo Euler (splet)",ContextMenu:"Kontekstni meni",Browser:"Brskalnik",Scale:"Umeri vso matematiko ...",Discoverable:"Ob lebdenju ozna\u010Di",Locale:"Jezik",LoadLocale:"Nalo\u017Ei iz spletnega naslova ...",About:"O MathJax",Help:"Pomo\u010D za MathJax",localTeXfonts:"z uporabo lokalnih pisav TeX",webTeXfonts:"z uporabo spletne pisave TeX",imagefonts:"z uporabo slikovnih pisav",localSTIXfonts:"z uporabo lokalnih pisav STIX",webSVGfonts:"z uporabo spletnih pisav SVG",genericfonts:"z uporabo generi\u010Dnih unikodnih pisav",wofforotffonts:"pisave woff ali otf",eotffonts:"pisave eot",svgfonts:"pisave svg",WebkitNativeMMLWarning:"Va\u0161 brskalnik ne podpira MathML sam po sebi, zato ob preklopu na MathML matematika morda ne bo berljiva.",MSIENativeMMLWarning:"Internet Explorer potrebuje za obdelavo izhoda MathML vti\u010Dnik MathPlayer.",OperaNativeMMLWarning:"Podpora Opere za MathML je omejena, zato se bodo ob preklopu na MathML nekateri izrazi morda slabo izrisali.",SafariNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno prikazali.",FirefoxNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno izrisali.",MSIESVGWarning:"V Internet Explorerju pred IE9 in pri emulaciji IE8 ali manj SVG ni podprt. Ob preklopu na SVG se matematika ne bo prikazala pravilno.",LoadURL:"Nalo\u017Ei podatke za prevajanje z naslednjega spletnega naslova:",BadURL:"Spletni naslov mora biti za javaskriptno datoteko, ki opredeljuje podatke MathJax o prevajanju. Imena javaskriptnih datotek se morajo kon\u010Dati z '.js'",BadData:"Nalaganje podatkov za prevajanje iz %1 ni uspelo",SwitchAnyway:"Vseeno zamenjam izrisovalnik?",ScaleMath:"Umeri vso matematiko (v primerjavi z okoli\u0161nim besedilom) z",NonZeroScale:"Merilo ne sme biti ni\u010D",PercentScale:"Merilo naj bo odstotek (npr. 120%%)",IE8warning:"To onemogo\u010Di meni MathJax in mo\u017Enosti zumiranja, vendar pa lahko namesto tega kliknete izraz ob dr\u017Eanju tipke Alt, s \u010Dimer se prika\u017Ee meni MathJax.",IE9warning:"Kontekstni meni MathJax bo izklopljen, namesto tega pa lahko s klikom izraza ob dr\u017Eanju tipke Alt prikli\u010Dete meni MathJax.",NoOriginalForm:"Na razpolago ni nobena izvorna oblika",Close:"Zapri",EqSource:"Vir ena\u010Dbe MathJax",FastPreview:"Hitri predogled"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathMenu.js"); +MathJax.Localization.addTranslation("sl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Prika\u017Ei matematiko kot",MathMLcode:"Koda MathML",OriginalMathML:"Izvorni MathML",TeXCommands:"Ukazi TeX",AsciiMathInput:"Vnos AsciiMathML",Original:"Izvirna oblika",ErrorMessage:"Sporo\u010Dilo o napaki",Annotation:"Pripis",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML vsebine",OpenMath:"OpenMath",texHints:"V MathML prika\u017Ei namige TeX",Settings:"Nastavitve matematike",ZoomTrigger:"Pro\u017Eilec zumiranja",Hover:"Lebdenje",Click:"Kliknite",DoubleClick:"Dvokliknite",NoZoom:"Brez pove\u010Dave",TriggerRequires:"Pro\u017Eilec potrebuje:",Option:"Mo\u017Enost",Alt:"Alt",Command:"Ukaz",Control:"Kontrolnik",Shift:"Preklop",ZoomFactor:"Faktor zumiranja",Renderer:"Matemati\u010Dni izrisovalnik",MPHandles:"MathPlayer naj upravlja z:",MenuEvents:"Dogodki menija",MouseEvents:"Dogodki mi\u0161ke",MenuAndMouse:"Dogodki mi\u0161ke in menija",FontPrefs:"Nastavitve pisav",ForHTMLCSS:"Za HTML-CSS:",Auto:"Samodejno",TeXLocal:"TeX (lokalno)",TeXWeb:"TeX (splet)",TeXImage:"TeX (slika)",STIXLocal:"STIX (lokalno)",STIXWeb:"STIX (splet)",AsanaMathWeb:"Asana Math (splet)",GyrePagellaWeb:"Gyre Pagella (splet)",GyreTermesWeb:"Gyre Termes (splet)",LatinModernWeb:"Latin Modern (splet)",NeoEulerWeb:"Neo Euler (splet)",ContextMenu:"Kontekstni meni",Browser:"Brskalnik",Scale:"Umeri vso matematiko ...",Discoverable:"Ob lebdenju ozna\u010Di",Locale:"Jezik",LoadLocale:"Nalo\u017Ei iz spletnega naslova ...",About:"O MathJax",Help:"Pomo\u010D za MathJax",localTeXfonts:"z uporabo lokalnih pisav TeX",webTeXfonts:"z uporabo spletne pisave TeX",imagefonts:"z uporabo slikovnih pisav",localSTIXfonts:"z uporabo lokalnih pisav STIX",webSVGfonts:"z uporabo spletnih pisav SVG",genericfonts:"z uporabo generi\u010Dnih unikodnih pisav",wofforotffonts:"pisave woff ali otf",eotffonts:"pisave eot",svgfonts:"pisave svg",WebkitNativeMMLWarning:"Va\u0161 brskalnik ne podpira MathML sam po sebi, zato ob preklopu na MathML matematika morda ne bo berljiva.",MSIENativeMMLWarning:"Internet Explorer potrebuje za obdelavo izhoda MathML vti\u010Dnik MathPlayer.",OperaNativeMMLWarning:"Podpora Opere za MathML je omejena, zato se bodo ob preklopu na MathML nekateri izrazi morda slabo izrisali.",SafariNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno prikazali.",FirefoxNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno izrisali.",MSIESVGWarning:"V Internet Explorerju pred IE9 in pri emulaciji IE8 ali manj SVG ni podprt. Ob preklopu na SVG se matematika ne bo prikazala pravilno.",LoadURL:"Nalo\u017Ei podatke za prevajanje z naslednjega spletnega naslova:",BadURL:"Spletni naslov mora biti za javaskriptno datoteko, ki opredeljuje podatke MathJax o prevajanju. Imena javaskriptnih datotek se morajo kon\u010Dati z '.js'",BadData:"Nalaganje podatkov za prevajanje iz %1 ni uspelo",SwitchAnyway:"Vseeno zamenjam izrisovalnik?",ScaleMath:"Umeri vso matematiko (v primerjavi z okoli\u0161nim besedilom) z",NonZeroScale:"Merilo ne sme biti ni\u010D",PercentScale:"Merilo naj bo odstotek (npr. 120%%)",IE8warning:"To onemogo\u010Di meni MathJax in mo\u017Enosti zumiranja, vendar pa lahko namesto tega kliknete izraz ob dr\u017Eanju tipke Alt, s \u010Dimer se prika\u017Ee meni MathJax.",IE9warning:"Kontekstni meni MathJax bo izklopljen, namesto tega pa lahko s klikom izraza ob dr\u017Eanju tipke Alt prikli\u010Dete meni MathJax.",NoOriginalForm:"Na razpolago ni nobena izvorna oblika",Close:"Zapri",EqSource:"Vir ena\u010Dbe MathJax",FastPreview:"Hitri predogled"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathMenu.js"); diff --git a/localization/sl/TeX.js b/localization/sl/TeX.js index 1f74850fad..a329e14913 100644 --- a/localization/sl/TeX.js +++ b/localization/sl/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Dodaten uklepaj ali manjkajo\u010D zaklepaj",ExtraCloseMissingOpen:"Dodaten zaklepaj ali manjkajo\u010D uklepaj",MissingLeftExtraRight:"Manjka \\left ali dodatni \\right",MissingScript:"Manjka nadpisani ali podpisani argument",ExtraLeftMissingRight:"Dodaten \\left ali manjkajo\u010D \\right",Misplaced:"Narobe postavljen %1",MissingOpenForSub:"Manjka uklepaj za nadpisano",MissingOpenForSup:"Manjka uklepaj za nadpisano",AmbiguousUseOf:"Dvoumna uporaba %1",EnvBadEnd:"\\begin{%1} se je kon\u010Dal z \\end{%2}",EnvMissingEnd:"Manjka \\end{%1}",MissingBoxFor:"Manjka polje za %1",MissingCloseBrace:"Manjka zaklepaj",UndefinedControlSequence:"Nedefinirano kontrolno zaporedje %1",DoubleExponent:"Dvojni eksponent: pojasnite z oklepaji",DoubleSubscripts:"Dvojno podpisano: za pojasnitev uporabite oklepaje",DoubleExponentPrime:"Pra\u0161tevilo povzro\u010Da dvojni eksponent: pojasnite z oklepaji",CantUseHash1:"Znak # je makroparameter in ga v matemati\u010Dnem na\u010Dinu ne morete uporabljati",MisplacedMiddle:"%1 mora biti znotraj \\left in \\right",MisplacedLimits:"%1 je dovoljen samo pri operatorjih",MisplacedMoveRoot:"%1 se lahko pojavi samo v korenu",MultipleCommand:"Ve\u010Dkratni %1",IntegerArg:"Argument za %1 mora biti celo \u0161tevilo",NotMathMLToken:"%1 ni \u017Eetonski element",InvalidMathMLAttr:"Neveljaven atribut MathML: %1",UnknownAttrForElement:"%1 ni prepoznani atribut za %2",MaxMacroSub1:"Prese\u017Eeno najve\u010Dje \u0161tevilo makrosubstitucij MathJax; ali obstaja rekurzivni makroklic?",MaxMacroSub2:"Prese\u017Eeno najve\u010Dje \u0161tevilo substitucij MathJax; ali obstaja rekurzivno okolje LaTeX?",MissingArgFor:"Manjka argument za %1",ExtraAlignTab:"Dodatni zavihek za poravnavo v tekstu \\cases",BracketMustBeDimension:"Argument v oklepaju za %1 mora biti velikost",InvalidEnv:"Neveljavno ime okolja '%1'",UnknownEnv:"Neznano okolje '%1'",ExtraCloseLooking:"Dodatni zaklepaj pri iskanju %1",MissingCloseBracket:"Za argument za %1 ni mogo\u010De najti zaklepaja ']'",MissingOrUnrecognizedDelim:"Manjkajo\u010De ali neprepoznano lo\u010Dilo za %1",MissingDimOrUnits:"Manjka velikost ali enote pri %1",TokenNotFoundForCommand:"%1 za %2 ni bilo mogo\u010De najti",MathNotTerminated:"Matematika v tekstovnem polju ni prekinjena",IllegalMacroParam:"Nedovoljen makroparameter",MaxBufferSize:"Prese\u017Eena velikost notranjega medpomnilnika MathJax; ali obstaja rekurzivni makroklic?",CommandNotAllowedInEnv:"%1 v okolju %2 ni dovoljen",MultipleLabel:"Ve\u010Dkratno definirana oznaka '%1'",CommandAtTheBeginingOfLine:"%1 mora priti na za\u010Detek vrstice",IllegalAlign:"V %1 je dolo\u010Dena nedovoljena poravnava.",BadMathStyleFor:"Neveljaven matemati\u010Dni slog argumenta %1",PositiveIntegerArg:"Argument za %1 mora biti pozitivno celo \u0161tevilo",ErroneousNestingEq:"Napa\u010Dno gnezdenje struktur ena\u010Dbe",MultlineRowsOneCol:"Vrstice v okolju %1 morajo imeti natan\u010Dno en stolpec",MultipleBBoxProperty:"%1 je v %2 dolo\u010Den dvakrat",InvalidBBoxProperty:"'%1' ne izgleda kot barva, velikost odmika ali slog",ExtraEndMissingBegin:"Dodatni %1 ali manjkajo\u010D \\begingroup",GlobalNotFollowedBy:"%1 ne sledijo \\let, \\def ali \\newcommand",UndefinedColorModel:"Nedefiniran barvni model '%1'",ModelArg1:"Barvne vrednosti modela %1 zahtevajo tri \u0161tevilke",InvalidDecimalNumber:"Neveljavna decimalna \u0161tevilka",ModelArg2:"Barvne vrednosti za model %1 morajo biti med %2 in %3",InvalidNumber:"Neveljavna \u0161tevilka",NewextarrowArg1:"Prvi argument za %1 mora biti ime kontrolnega zaporedja",NewextarrowArg2:"Drugi argument za %1 morata biti dve celi \u0161tevili, lo\u010Deni z vejico",NewextarrowArg3:"Tretji argument za %1 mora biti \u0161tevilka unikodnega znaka",NoClosingChar:"Ni mogo\u010De najti zapiralnega %1",IllegalControlSequenceName:"Nedovoljeno ime kontrolnega zaporedja za %1",IllegalParamNumber:"Neveljavno \u0161tevilo parametrov v %1",MissingCS:"%1 mora slediti kontrolno zaporedje",CantUseHash2:"Nedovoljena uporaba znaka # v predlogi za %1",SequentialParam:"Parametri za %1 morajo biti o\u0161tevil\u010Deni zaporedno",MissingReplacementString:"Manjka nadomestni niz za definicijo %1",MismatchUseDef:"Uporaba %1 se ne ujema z njegovo definicijo",RunawayArgument:"Ube\u017Eni argument za %1?",NoClosingDelim:"Ni mogo\u010De najti zaklju\u010Dnega lo\u010Dila za %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/TeX.js"); +MathJax.Localization.addTranslation("sl","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Dodaten uklepaj ali manjkajo\u010D zaklepaj",ExtraCloseMissingOpen:"Dodaten zaklepaj ali manjkajo\u010D uklepaj",MissingLeftExtraRight:"Manjka \\left ali dodatni \\right",MissingScript:"Manjka nadpisani ali podpisani argument",ExtraLeftMissingRight:"Dodaten \\left ali manjkajo\u010D \\right",Misplaced:"Narobe postavljen %1",MissingOpenForSub:"Manjka uklepaj za nadpisano",MissingOpenForSup:"Manjka uklepaj za nadpisano",AmbiguousUseOf:"Dvoumna uporaba %1",EnvBadEnd:"\\begin{%1} se je kon\u010Dal z \\end{%2}",EnvMissingEnd:"Manjka \\end{%1}",MissingBoxFor:"Manjka polje za %1",MissingCloseBrace:"Manjka zaklepaj",UndefinedControlSequence:"Nedefinirano kontrolno zaporedje %1",DoubleExponent:"Dvojni eksponent: pojasnite z oklepaji",DoubleSubscripts:"Dvojno podpisano: za pojasnitev uporabite oklepaje",DoubleExponentPrime:"Pra\u0161tevilo povzro\u010Da dvojni eksponent: pojasnite z oklepaji",CantUseHash1:"Znak # je makroparameter in ga v matemati\u010Dnem na\u010Dinu ne morete uporabljati",MisplacedMiddle:"%1 mora biti znotraj \\left in \\right",MisplacedLimits:"%1 je dovoljen samo pri operatorjih",MisplacedMoveRoot:"%1 se lahko pojavi samo v korenu",MultipleCommand:"Ve\u010Dkratni %1",IntegerArg:"Argument za %1 mora biti celo \u0161tevilo",NotMathMLToken:"%1 ni \u017Eetonski element",InvalidMathMLAttr:"Neveljaven atribut MathML: %1",UnknownAttrForElement:"%1 ni prepoznani atribut za %2",MaxMacroSub1:"Prese\u017Eeno najve\u010Dje \u0161tevilo makrosubstitucij MathJax; ali obstaja rekurzivni makroklic?",MaxMacroSub2:"Prese\u017Eeno najve\u010Dje \u0161tevilo substitucij MathJax; ali obstaja rekurzivno okolje LaTeX?",MissingArgFor:"Manjka argument za %1",ExtraAlignTab:"Dodatni zavihek za poravnavo v tekstu \\cases",BracketMustBeDimension:"Argument v oklepaju za %1 mora biti velikost",InvalidEnv:"Neveljavno ime okolja '%1'",UnknownEnv:"Neznano okolje '%1'",ExtraCloseLooking:"Dodatni zaklepaj pri iskanju %1",MissingCloseBracket:"Za argument za %1 ni mogo\u010De najti zaklepaja ']'",MissingOrUnrecognizedDelim:"Manjkajo\u010De ali neprepoznano lo\u010Dilo za %1",MissingDimOrUnits:"Manjka velikost ali enote pri %1",TokenNotFoundForCommand:"%1 za %2 ni bilo mogo\u010De najti",MathNotTerminated:"Matematika v tekstovnem polju ni prekinjena",IllegalMacroParam:"Nedovoljen makroparameter",MaxBufferSize:"Prese\u017Eena velikost notranjega medpomnilnika MathJax; ali obstaja rekurzivni makroklic?",CommandNotAllowedInEnv:"%1 v okolju %2 ni dovoljen",MultipleLabel:"Ve\u010Dkratno definirana oznaka '%1'",CommandAtTheBeginingOfLine:"%1 mora priti na za\u010Detek vrstice",IllegalAlign:"V %1 je dolo\u010Dena nedovoljena poravnava.",BadMathStyleFor:"Neveljaven matemati\u010Dni slog argumenta %1",PositiveIntegerArg:"Argument za %1 mora biti pozitivno celo \u0161tevilo",ErroneousNestingEq:"Napa\u010Dno gnezdenje struktur ena\u010Dbe",MultlineRowsOneCol:"Vrstice v okolju %1 morajo imeti natan\u010Dno en stolpec",MultipleBBoxProperty:"%1 je v %2 dolo\u010Den dvakrat",InvalidBBoxProperty:"'%1' ne izgleda kot barva, velikost odmika ali slog",ExtraEndMissingBegin:"Dodatni %1 ali manjkajo\u010D \\begingroup",GlobalNotFollowedBy:"%1 ne sledijo \\let, \\def ali \\newcommand",UndefinedColorModel:"Nedefiniran barvni model '%1'",ModelArg1:"Barvne vrednosti modela %1 zahtevajo tri \u0161tevilke",InvalidDecimalNumber:"Neveljavna decimalna \u0161tevilka",ModelArg2:"Barvne vrednosti za model %1 morajo biti med %2 in %3",InvalidNumber:"Neveljavna \u0161tevilka",NewextarrowArg1:"Prvi argument za %1 mora biti ime kontrolnega zaporedja",NewextarrowArg2:"Drugi argument za %1 morata biti dve celi \u0161tevili, lo\u010Deni z vejico",NewextarrowArg3:"Tretji argument za %1 mora biti \u0161tevilka unikodnega znaka",NoClosingChar:"Ni mogo\u010De najti zapiralnega %1",IllegalControlSequenceName:"Nedovoljeno ime kontrolnega zaporedja za %1",IllegalParamNumber:"Neveljavno \u0161tevilo parametrov v %1",MissingCS:"%1 mora slediti kontrolno zaporedje",CantUseHash2:"Nedovoljena uporaba znaka # v predlogi za %1",SequentialParam:"Parametri za %1 morajo biti o\u0161tevil\u010Deni zaporedno",MissingReplacementString:"Manjka nadomestni niz za definicijo %1",MismatchUseDef:"Uporaba %1 se ne ujema z njegovo definicijo",RunawayArgument:"Ube\u017Eni argument za %1?",NoClosingDelim:"Ni mogo\u010De najti zaklju\u010Dnega lo\u010Dila za %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/TeX.js"); diff --git a/localization/sl/sl.js b/localization/sl/sl.js index 3058b89f1e..4a5896ec5c 100644 --- a/localization/sl/sl.js +++ b/localization/sl/sl.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sl",null,{menuTitle:"sloven\u0161\u010Dina",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",MathProcessingError:"Napaka pri obdelavi matematike",MathError:"Napaka v matemati\u010Dni formuli",LoadFile:"Nalagam %1",Loading:"Nalagam",LoadFailed:"Datoteka se ni nalo\u017Eila: %1",ProcessMath:"Obdelava matematike: %1%%",Processing:"Obdelujem",TypesetMath:"Stavljenje matematike: %1%%",Typesetting:"Stavljenje",MathJaxNotSupported:"Va\u0161 brskalnik ne podpira MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%100===1){return 1}if(a%100===2){return 2}if(3<=a%100&&a%100<=4){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/sl.js"); +MathJax.Localization.addTranslation("sl",null,{menuTitle:"sloven\u0161\u010Dina",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",MathProcessingError:"Napaka pri obdelavi matematike",MathError:"Napaka v matemati\u010Dni formuli",LoadFile:"Nalagam %1",Loading:"Nalagam",LoadFailed:"Datoteka se ni nalo\u017Eila: %1",ProcessMath:"Obdelava matematike: %1%%",Processing:"Obdelujem",TypesetMath:"Stavljenje matematike: %1%%",Typesetting:"Stavljenje",MathJaxNotSupported:"Va\u0161 brskalnik ne podpira MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%100===1){return 1}if(a%100===2){return 2}if(3<=a%100&&a%100<=4){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/sl.js"); diff --git a/localization/sv/FontWarnings.js b/localization/sv/FontWarnings.js index a86c198bd3..0dd758d6fe 100644 --- a/localization/sv/FontWarnings.js +++ b/localization/sv/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax anv\u00E4nder webb-baserade teckensnitt f\u00F6r att visa matematik p\u00E5 denna sida. Dessa tar tid att ladda ner, sidan skulle g\u00F6ra snabbare om du installerar matematik-typsnitt direkt i systemets teckensnittsmapp.",imageFonts:"MathJax anv\u00E4nder sina bild-teckensnitt ist\u00E4llet f\u00F6r lokala eller webb-baserade typsnitt. Detta kommer att g\u00F6ra visningen saktare \u00E4n vanligt, matematik kan \u00E4ven komma att inte skrivas ut med din skrivares fulla uppl\u00F6sning.",noFonts:"MathJax kan inte hitta ett typsnitt f\u00F6r att visa sin matematik, och bild-teckensnitt \u00E4r ej tillg\u00E4ngliga, s\u00E5 den faller tillbaka p\u00E5 generiska Unicode-tecken i hopp om att din webbl\u00E4sare kommer att kunna visa dem. Vissa tecken kan komma att visas inkorrekt, eller kanske inte alls.",webFonts:"De flesta moderna webbl\u00E4sare till\u00E5ter teckensnitt att h\u00E4mtas via webben. Att uppdatera till en nyare version av din webbl\u00E4sare (eller byta webbl\u00E4sare) kan f\u00F6rb\u00E4ttra kvaliteten p\u00E5 matematik p\u00E5 denna sida.",fonts:"MathJax kan antingen anv\u00E4nda [STIX-typsnitt](%1) eller [MathJax TeX-typsnitt](%2). Ladda ner och installera en av dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",STIXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [STIX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",TeXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [MathJax TeX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/FontWarnings.js"); +MathJax.Localization.addTranslation("sv","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax anv\u00E4nder webb-baserade teckensnitt f\u00F6r att visa matematik p\u00E5 denna sida. Dessa tar tid att ladda ner, sidan skulle g\u00F6ra snabbare om du installerar matematik-typsnitt direkt i systemets teckensnittsmapp.",imageFonts:"MathJax anv\u00E4nder sina bild-teckensnitt ist\u00E4llet f\u00F6r lokala eller webb-baserade typsnitt. Detta kommer att g\u00F6ra visningen saktare \u00E4n vanligt, matematik kan \u00E4ven komma att inte skrivas ut med din skrivares fulla uppl\u00F6sning.",noFonts:"MathJax kan inte hitta ett typsnitt f\u00F6r att visa sin matematik, och bild-teckensnitt \u00E4r ej tillg\u00E4ngliga, s\u00E5 den faller tillbaka p\u00E5 generiska Unicode-tecken i hopp om att din webbl\u00E4sare kommer att kunna visa dem. Vissa tecken kan komma att visas inkorrekt, eller kanske inte alls.",webFonts:"De flesta moderna webbl\u00E4sare till\u00E5ter teckensnitt att h\u00E4mtas via webben. Att uppdatera till en nyare version av din webbl\u00E4sare (eller byta webbl\u00E4sare) kan f\u00F6rb\u00E4ttra kvaliteten p\u00E5 matematik p\u00E5 denna sida.",fonts:"MathJax kan antingen anv\u00E4nda [STIX-typsnitt](%1) eller [MathJax TeX-typsnitt](%2). Ladda ner och installera en av dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",STIXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [STIX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",TeXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [MathJax TeX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/FontWarnings.js"); diff --git a/localization/sv/HTML-CSS.js b/localization/sv/HTML-CSS.js index 0b36611e1f..2c32d7e49a 100644 --- a/localization/sv/HTML-CSS.js +++ b/localization/sv/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"L\u00E4ser in webbtypsnittet %1",CantLoadWebFont:"Kan inte l\u00E4sa in webbtypsnittet %1",FirefoxCantLoadWebFont:"Firefox kan inte l\u00E4sa in webbteckensnitt fr\u00E5n en fj\u00E4rrv\u00E4rd",CantFindFontUsing:"Kan inte hitta ett giltigt teckensnitt med hj\u00E4lp av %1",WebFontsNotAvailable:"Webbtypsnitt \u00E4r inte tillg\u00E4ngliga. Anv\u00E4nder bildtypsnitt ist\u00E4llet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HTML-CSS.js"); +MathJax.Localization.addTranslation("sv","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"L\u00E4ser in webbtypsnittet %1",CantLoadWebFont:"Kan inte l\u00E4sa in webbtypsnittet %1",FirefoxCantLoadWebFont:"Firefox kan inte l\u00E4sa in webbteckensnitt fr\u00E5n en fj\u00E4rrv\u00E4rd",CantFindFontUsing:"Kan inte hitta ett giltigt teckensnitt med hj\u00E4lp av %1",WebFontsNotAvailable:"Webbtypsnitt \u00E4r inte tillg\u00E4ngliga. Anv\u00E4nder bildtypsnitt ist\u00E4llet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HTML-CSS.js"); diff --git a/localization/sv/HelpDialog.js b/localization/sv/HelpDialog.js index 77ab626b38..64cb15ee44 100644 --- a/localization/sv/HelpDialog.js +++ b/localization/sv/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"MathJax-hj\u00E4lp",MathJax:"*MathJax* \u00E4r ett JavaScript-bibliotek som till\u00E5ter f\u00F6rfattare att inkludera matematik p\u00E5 sina webbsidor. Som l\u00E4sare beh\u00F6ver du inte g\u00F6ra n\u00E5got f\u00F6r att f\u00E5 det att h\u00E4nda.",Browsers:"*Webbl\u00E4sare*: MathJax fungerar med alla moderna webbl\u00E4sare inklusive IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ och de flesta mobila webbl\u00E4sare.",Menu:"*Matematik-menyn*: MathJax l\u00E4gger till en kontextuell meny till ekvationer. H\u00F6gerklicka eller Ctrl-klicka p\u00E5 n\u00E5gon matematik att komma \u00E5t menyn.",ShowMath:"*Visa matematik som* g\u00F6r att du kan visa formelns k\u00E4llkod f\u00F6r att klipp \u0026 klistra in (som MathML eller i dess ursprungliga format).",Settings:"*Inst\u00E4llninga * ger dig kontroll \u00F6ver funktionerna i MathJax, s\u00E5 som storleken p\u00E5 matematiken och den mekanism som anv\u00E4nds f\u00F6r att visa ekvationer.",Language:"*Spr\u00E5k* l\u00E5ter dig v\u00E4lja spr\u00E5ket som MathJax ska anv\u00E4nda f\u00F6r sina menyer och varningsmeddelanden.",Zoom:"*Matematik zoom*: Om du har sv\u00E5rt att l\u00E4sa en ekvation, kan MathJax f\u00F6rstora den f\u00F6r att hj\u00E4lpa dig se den b\u00E4ttre.",Accessibilty:"*Tillg\u00E4nglighet*: MathJax fungerar automatiskt med sk\u00E4rml\u00E4sare f\u00F6r att g\u00F6ra matematik tillg\u00E4nglig f\u00F6r synskadade.",Fonts:"*Typsnitt*: MathJax kommer att anv\u00E4nda vissa matematiska teckensnitt om de \u00E4r installerade p\u00E5 din dator; annars anv\u00E4nder den webb-baserade teckensnitt. \u00C4ven om det inte kr\u00E4vs, kommer lokalt installerade teckensnitt att p\u00E5skynda typs\u00E4ttningen. Vi f\u00F6resl\u00E5r installation av [STIX-typsnitt](%1).",CloseDialog:"St\u00E4ng hj\u00E4lpdialogen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HelpDialog.js"); +MathJax.Localization.addTranslation("sv","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax-hj\u00E4lp",MathJax:"*MathJax* \u00E4r ett JavaScript-bibliotek som till\u00E5ter f\u00F6rfattare att inkludera matematik p\u00E5 sina webbsidor. Som l\u00E4sare beh\u00F6ver du inte g\u00F6ra n\u00E5got f\u00F6r att f\u00E5 det att h\u00E4nda.",Browsers:"*Webbl\u00E4sare*: MathJax fungerar med alla moderna webbl\u00E4sare inklusive IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ och de flesta mobila webbl\u00E4sare.",Menu:"*Matematik-menyn*: MathJax l\u00E4gger till en kontextuell meny till ekvationer. H\u00F6gerklicka eller Ctrl-klicka p\u00E5 n\u00E5gon matematik att komma \u00E5t menyn.",ShowMath:"*Visa matematik som* g\u00F6r att du kan visa formelns k\u00E4llkod f\u00F6r att klipp \u0026 klistra in (som MathML eller i dess ursprungliga format).",Settings:"*Inst\u00E4llninga * ger dig kontroll \u00F6ver funktionerna i MathJax, s\u00E5 som storleken p\u00E5 matematiken och den mekanism som anv\u00E4nds f\u00F6r att visa ekvationer.",Language:"*Spr\u00E5k* l\u00E5ter dig v\u00E4lja spr\u00E5ket som MathJax ska anv\u00E4nda f\u00F6r sina menyer och varningsmeddelanden.",Zoom:"*Matematik zoom*: Om du har sv\u00E5rt att l\u00E4sa en ekvation, kan MathJax f\u00F6rstora den f\u00F6r att hj\u00E4lpa dig se den b\u00E4ttre.",Accessibilty:"*Tillg\u00E4nglighet*: MathJax fungerar automatiskt med sk\u00E4rml\u00E4sare f\u00F6r att g\u00F6ra matematik tillg\u00E4nglig f\u00F6r synskadade.",Fonts:"*Typsnitt*: MathJax kommer att anv\u00E4nda vissa matematiska teckensnitt om de \u00E4r installerade p\u00E5 din dator; annars anv\u00E4nder den webb-baserade teckensnitt. \u00C4ven om det inte kr\u00E4vs, kommer lokalt installerade teckensnitt att p\u00E5skynda typs\u00E4ttningen. Vi f\u00F6resl\u00E5r installation av [STIX-typsnitt](%1).",CloseDialog:"St\u00E4ng hj\u00E4lpdialogen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HelpDialog.js"); diff --git a/localization/sv/MathML.js b/localization/sv/MathML.js index c1f826bb20..9c0332b265 100644 --- a/localization/sv/MathML.js +++ b/localization/sv/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"D\u00E5lig mglyph: %1",BadMglyphFont:"D\u00E5ligt typsnitt: %1",MathPlayer:"MathJax kunde inte st\u00E4lla in MathPlayer.\n\nOm MathPlayer inte \u00E4r installerat, m\u00E5ste du installera \nden f\u00F6rst. Annars kan det h\u00E4nda att dina \ns\u00E4kerhetsinst\u00E4llningar f\u00F6rhindrar ActiveX-kontroller \nfr\u00E5n att k\u00F6ras. Anv\u00E4nd internetinst\u00E4llningar i \nverktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen. Kontrollera att \ninst\u00E4llningarna f\u00F6r 'K\u00F6r ActiveX-kontroller' samt \n'Bin\u00E4r och skript-beteenden' \u00E4r aktiverade.\n\nF\u00F6r n\u00E4rvarande kommer du att se flemeddelande snarare \n\u00E4n typsatt matematik",CantCreateXMLParser:"MathJax kunde inte skapa en XML-tolk f\u00F6r MathML. Kontrollera att \ns\u00E4kerhetsinst\u00E4llningen 'Script ActiveX X-kontroller som markerats \nsom s\u00E4kra f\u00F6r skript' \u00E4r aktiverad (anv\u00E4nd internetinst\u00E4llningar \ni verktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen f\u00F6r att kontrollera detta).\n\nMathML-ekvationer kommer inte kunna hanteras av MathJax",UnknownNodeType:"Ok\u00E4nd nodtyp: %1",UnexpectedTextNode:"Ov\u00E4ntad textnod: %1",ErrorParsingMathML:"Fel vid tolkning av MathML",ParsingError:"Fel vid tolkning av MathML: %1",MathMLSingleElement:"MathML m\u00E5ste bildas av ett enskilt element",MathMLRootElement:"MathML m\u00E5ste bildas av ett \u003Cmath\u003E-element, inte %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathML.js"); +MathJax.Localization.addTranslation("sv","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"D\u00E5lig mglyph: %1",BadMglyphFont:"D\u00E5ligt typsnitt: %1",MathPlayer:"MathJax kunde inte st\u00E4lla in MathPlayer.\n\nOm MathPlayer inte \u00E4r installerat, m\u00E5ste du installera \nden f\u00F6rst. Annars kan det h\u00E4nda att dina \ns\u00E4kerhetsinst\u00E4llningar f\u00F6rhindrar ActiveX-kontroller \nfr\u00E5n att k\u00F6ras. Anv\u00E4nd internetinst\u00E4llningar i \nverktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen. Kontrollera att \ninst\u00E4llningarna f\u00F6r 'K\u00F6r ActiveX-kontroller' samt \n'Bin\u00E4r och skript-beteenden' \u00E4r aktiverade.\n\nF\u00F6r n\u00E4rvarande kommer du att se flemeddelande snarare \n\u00E4n typsatt matematik",CantCreateXMLParser:"MathJax kunde inte skapa en XML-tolk f\u00F6r MathML. Kontrollera att \ns\u00E4kerhetsinst\u00E4llningen 'Script ActiveX X-kontroller som markerats \nsom s\u00E4kra f\u00F6r skript' \u00E4r aktiverad (anv\u00E4nd internetinst\u00E4llningar \ni verktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen f\u00F6r att kontrollera detta).\n\nMathML-ekvationer kommer inte kunna hanteras av MathJax",UnknownNodeType:"Ok\u00E4nd nodtyp: %1",UnexpectedTextNode:"Ov\u00E4ntad textnod: %1",ErrorParsingMathML:"Fel vid tolkning av MathML",ParsingError:"Fel vid tolkning av MathML: %1",MathMLSingleElement:"MathML m\u00E5ste bildas av ett enskilt element",MathMLRootElement:"MathML m\u00E5ste bildas av ett \u003Cmath\u003E-element, inte %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathML.js"); diff --git a/localization/sv/MathMenu.js b/localization/sv/MathMenu.js index c216cbe2fe..e359acf8ce 100644 --- a/localization/sv/MathMenu.js +++ b/localization/sv/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv","MathMenu",{version:"2.7.5",isLoaded:true,strings:{MathMLcode:"MathML-kod",OriginalMathML:"Ursprunglig MathML",TeXCommands:"TeX-kommandon",AsciiMathInput:"AsciiMathML-indata",Original:"Ursprungligt format",ErrorMessage:"Felmeddelande",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klick",DoubleClick:"Dubbelklick",NoZoom:"Ingen zoom",Option:"Alternativ",Alt:"Alt",Command:"\u2318 (Cmd)",Control:"Ctrl",Shift:"Skift",MenuEvents:"Menyh\u00E4ndelser",MouseEvents:"Mush\u00E4ndelser",MenuAndMouse:"Mus- och menyh\u00E4ndelser",FontPrefs:"Teckensnittsinst\u00E4llningar",ForHTMLCSS:"F\u00F6r HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (webb)",TeXImage:"TeX (bild)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (webb)",AsanaMathWeb:"Asana Math (webb)",GyrePagellaWeb:"Gyre Pagella (webb)",GyreTermesWeb:"Gyre Termes (webb)",LatinModernWeb:"Latin Modern (webb)",NeoEulerWeb:"Neo Euler (webb)",Browser:"Webbl\u00E4sare",Discoverable:"Markera vid hovring",Locale:"Spr\u00E5k",LoadLocale:"L\u00E4s in fr\u00E5n URL ...",About:"Om MathJax",Help:"MathJax-hj\u00E4lp",eotffonts:"EOT-teckensnitt",svgfonts:"SVG-teckensnitt",MSIENativeMMLWarning:"Internet Explorer kr\u00E4ver insticksmodulen MathPlayer f\u00F6r att kunna bearbeta MathML-utdata.",NonZeroScale:"Skalan b\u00F6r inte vara noll",PercentScale:"Skalan b\u00F6r vara en procentsats (t.ex. 120%%)",Close:"St\u00E4ng",Show:"Visa matematik som",Annotation:"Anm\u00E4rkning",Maple:"Maple",ContentMathML:"Content MathML",texHints:"Visa TeX tips i MathML",Settings:"Matematikinst\u00E4llningar",ZoomTrigger:"Zoomutl\u00F6sare",Hover:"Hovra",TriggerRequires:"Utl\u00F6sare kr\u00E4ver:",ZoomFactor:"Zoom-faktor",Renderer:"Matematik-renderare",MPHandles:"L\u00E5t MathPlayer hantera:",ContextMenu:"Kontextuell meny",Scale:"Skala all matematik...",localTeXfonts:"anv\u00E4nder lokala TeX-typsnitt",webTeXfonts:"anv\u00E4nder webb-TeX-typsnitt",imagefonts:"anv\u00E4nder bild-typsnitt",localSTIXfonts:"anv\u00E4nder lokala STIX-typsnitt",webSVGfonts:"anv\u00E4nder webb-SVG-typsnitt",genericfonts:"anv\u00E4nder generiska Unicode-typsnitt",wofforotffonts:"WOFF- eller OTF-typsnitt",WebkitNativeMMLWarning:"Din webbl\u00E4sare verkar sakna inbyggt st\u00F6d f\u00F6r MathML, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att matematiken p\u00E5 sidan blir ol\u00E4sbar",OperaNativeMMLWarning:"Operas st\u00F6d f\u00F6r MathML \u00E4r begr\u00E4nsad, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att vissa uttryck \u00E5terges d\u00E5ligt.",SafariNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",FirefoxNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",MSIESVGWarning:"SVG implementeras inte i Internet Explorer f\u00F6re IE9 eller n\u00E4r den emulerar IE8 eller l\u00E4gre. Ett byte till SVG-utdata kommer att g\u00F6ra att matematiken inte visas korrekt.",LoadURL:"Ladda \u00F6vers\u00E4ttningsdata fr\u00E5n denna URL:",BadURL:'URL-adressen b\u00F6r g\u00E5 till en JavaScript-fil som definierar MathJax-\u00F6vers\u00E4ttningsdata. JavaScript-filnamn b\u00F6r avslutas med ".js"',BadData:"Misslyckades med att ladda \u00F6vers\u00E4ttningsdata fr\u00E5n %1",SwitchAnyway:"Byt renderare \u00E4nd\u00E5?\n\n(Tryck p\u00E5 OK f\u00F6r att byta, AVBRYT f\u00F6r att forts\u00E4tta med nuvarande renderare)",ScaleMath:"Skala alla matematik (j\u00E4mf\u00F6rt med omgivande text) med",IE8warning:"Detta kommer att inaktivera MathJax-menyn och zoom-funktionen, men du kan Alt-klicka p\u00E5 ett uttryck att f\u00E5 MathJax-menyn ist\u00E4llet.\n\nVill du verkligen \u00E4ndra MathPlayer-inst\u00E4llningarna?",IE9warning:"MathJax kontextuella meny kommer att vara inaktiverade, men du kan Alt-Klicka p\u00E5 ett uttryck f\u00F6r att f\u00E5 MathJax-menyn ist\u00E4llet.",NoOriginalForm:"Inget ursprungligt format tillg\u00E4ngligt",EqSource:"MathJax ekvationsk\u00E4lla",CloseAboutDialog:'St\u00E4ng dialogen "Om MathJax"',FastPreview:"Snabb f\u00F6rhandsvisning",AssistiveMML:"Assisterande MathML",InTabOrder:"Inkludera i flikordning"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathMenu.js"); +MathJax.Localization.addTranslation("sv","MathMenu",{version:"2.7.6",isLoaded:true,strings:{MathMLcode:"MathML-kod",OriginalMathML:"Ursprunglig MathML",TeXCommands:"TeX-kommandon",AsciiMathInput:"AsciiMathML-indata",Original:"Ursprungligt format",ErrorMessage:"Felmeddelande",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klick",DoubleClick:"Dubbelklick",NoZoom:"Ingen zoom",Option:"Alternativ",Alt:"Alt",Command:"\u2318 (Cmd)",Control:"Ctrl",Shift:"Skift",MenuEvents:"Menyh\u00E4ndelser",MouseEvents:"Mush\u00E4ndelser",MenuAndMouse:"Mus- och menyh\u00E4ndelser",FontPrefs:"Teckensnittsinst\u00E4llningar",ForHTMLCSS:"F\u00F6r HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (webb)",TeXImage:"TeX (bild)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (webb)",AsanaMathWeb:"Asana Math (webb)",GyrePagellaWeb:"Gyre Pagella (webb)",GyreTermesWeb:"Gyre Termes (webb)",LatinModernWeb:"Latin Modern (webb)",NeoEulerWeb:"Neo Euler (webb)",Browser:"Webbl\u00E4sare",Discoverable:"Markera vid hovring",Locale:"Spr\u00E5k",LoadLocale:"L\u00E4s in fr\u00E5n URL ...",About:"Om MathJax",Help:"MathJax-hj\u00E4lp",eotffonts:"EOT-teckensnitt",svgfonts:"SVG-teckensnitt",MSIENativeMMLWarning:"Internet Explorer kr\u00E4ver insticksmodulen MathPlayer f\u00F6r att kunna bearbeta MathML-utdata.",NonZeroScale:"Skalan b\u00F6r inte vara noll",PercentScale:"Skalan b\u00F6r vara en procentsats (t.ex. 120%%)",Close:"St\u00E4ng",Show:"Visa matematik som",Annotation:"Anm\u00E4rkning",Maple:"Maple",ContentMathML:"Content MathML",texHints:"Visa TeX tips i MathML",Settings:"Matematikinst\u00E4llningar",ZoomTrigger:"Zoomutl\u00F6sare",Hover:"Hovra",TriggerRequires:"Utl\u00F6sare kr\u00E4ver:",ZoomFactor:"Zoom-faktor",Renderer:"Matematik-renderare",MPHandles:"L\u00E5t MathPlayer hantera:",ContextMenu:"Kontextuell meny",Scale:"Skala all matematik...",localTeXfonts:"anv\u00E4nder lokala TeX-typsnitt",webTeXfonts:"anv\u00E4nder webb-TeX-typsnitt",imagefonts:"anv\u00E4nder bild-typsnitt",localSTIXfonts:"anv\u00E4nder lokala STIX-typsnitt",webSVGfonts:"anv\u00E4nder webb-SVG-typsnitt",genericfonts:"anv\u00E4nder generiska Unicode-typsnitt",wofforotffonts:"WOFF- eller OTF-typsnitt",WebkitNativeMMLWarning:"Din webbl\u00E4sare verkar sakna inbyggt st\u00F6d f\u00F6r MathML, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att matematiken p\u00E5 sidan blir ol\u00E4sbar",OperaNativeMMLWarning:"Operas st\u00F6d f\u00F6r MathML \u00E4r begr\u00E4nsad, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att vissa uttryck \u00E5terges d\u00E5ligt.",SafariNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",FirefoxNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",MSIESVGWarning:"SVG implementeras inte i Internet Explorer f\u00F6re IE9 eller n\u00E4r den emulerar IE8 eller l\u00E4gre. Ett byte till SVG-utdata kommer att g\u00F6ra att matematiken inte visas korrekt.",LoadURL:"Ladda \u00F6vers\u00E4ttningsdata fr\u00E5n denna URL:",BadURL:'URL-adressen b\u00F6r g\u00E5 till en JavaScript-fil som definierar MathJax-\u00F6vers\u00E4ttningsdata. JavaScript-filnamn b\u00F6r avslutas med ".js"',BadData:"Misslyckades med att ladda \u00F6vers\u00E4ttningsdata fr\u00E5n %1",SwitchAnyway:"Byt renderare \u00E4nd\u00E5?\n\n(Tryck p\u00E5 OK f\u00F6r att byta, AVBRYT f\u00F6r att forts\u00E4tta med nuvarande renderare)",ScaleMath:"Skala alla matematik (j\u00E4mf\u00F6rt med omgivande text) med",IE8warning:"Detta kommer att inaktivera MathJax-menyn och zoom-funktionen, men du kan Alt-klicka p\u00E5 ett uttryck att f\u00E5 MathJax-menyn ist\u00E4llet.\n\nVill du verkligen \u00E4ndra MathPlayer-inst\u00E4llningarna?",IE9warning:"MathJax kontextuella meny kommer att vara inaktiverade, men du kan Alt-Klicka p\u00E5 ett uttryck f\u00F6r att f\u00E5 MathJax-menyn ist\u00E4llet.",NoOriginalForm:"Inget ursprungligt format tillg\u00E4ngligt",EqSource:"MathJax ekvationsk\u00E4lla",CloseAboutDialog:'St\u00E4ng dialogen "Om MathJax"',FastPreview:"Snabb f\u00F6rhandsvisning",AssistiveMML:"Assisterande MathML",InTabOrder:"Inkludera i flikordning"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathMenu.js"); diff --git a/localization/sv/TeX.js b/localization/sv/TeX.js index 16b1a35c07..d3b86a7e64 100644 --- a/localization/sv/TeX.js +++ b/localization/sv/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra v\u00E4nsterklammerparentes eller h\u00F6gerklammerparentes saknas",ExtraCloseMissingOpen:"Extra h\u00F6gerklammerparentes eller v\u00E4nsterklammerparentes saknas",MissingLeftExtraRight:"Saknad \\left eller en extra \\right",ExtraLeftMissingRight:"Extra \\left eller en saknad \\right",Misplaced:"Felplacerad %1",MissingOpenForSub:"Saknad v\u00E4nsterklammerparentes f\u00F6r index",MissingOpenForSup:"Saknad v\u00E4nsterklammerparentes f\u00F6r exponent",AmbiguousUseOf:"Tvetydig anv\u00E4ndning av %1",EnvBadEnd:"\\begin{%1} slutade med \\end{%2}",EnvMissingEnd:"Saknad \\end{%1}",MissingBoxFor:"Saknad l\u00E5da f\u00F6r %1",MissingCloseBrace:"Saknad h\u00F6gerklammerparentes",UndefinedControlSequence:"Odefinierad kontrollsekvens %1",DoubleExponent:"Dubbel exponent: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",DoubleSubscripts:"Dubbla index: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",MisplacedMiddle:"%1 m\u00E5ste vara inom \\left och \\right",MisplacedLimits:"%1 till\u00E5ts endast p\u00E5 operat\u00F6rer",MisplacedMoveRoot:"%1 kan endast visas inom en rot",MultipleCommand:"Flera %1",IntegerArg:"Argumentet till %1 m\u00E5ste vara ett heltal",NotMathMLToken:"%1 \u00E4r inte ett token-element",InvalidMathMLAttr:"Ogiltigt MathML-attribut: %1",UnknownAttrForElement:"%1 \u00E4r inte ett igenk\u00E4ndt attribut f\u00F6r %2",MissingArgFor:"Saknat argument f\u00F6r %1",InvalidEnv:"Ogiltigt milj\u00F6namn '%1'",UnknownEnv:"Ok\u00E4nd milj\u00F6 '%1'",ExtraCloseLooking:"Extra h\u00F6gerklammerparentes n\u00E4r %1 s\u00F6ktes",MissingCloseBracket:"Kunde inte hitta avslutande ']' f\u00F6r argumentet till %1",TokenNotFoundForCommand:"Kunde inte hitta %1 f\u00F6r %2",CommandNotAllowedInEnv:"%1 till\u00E5ts inte i %2-milj\u00F6n",MultipleLabel:"Etiketten '%1' definierades flera g\u00E5nger",CommandAtTheBeginingOfLine:"%1 m\u00E5ste vara i b\u00F6rjan p\u00E5 raden",IllegalAlign:"Ogiltig justering anges i %1",MultipleBBoxProperty:"%1 anges tv\u00E5 g\u00E5nger i %2",ExtraEndMissingBegin:"Extra %1 eller en saknad \\begingroup",GlobalNotFollowedBy:"%1 f\u00F6ljs inte av \\let, \\def eller \\newcommand",UndefinedColorModel:"F\u00E4rgmodellen '%1' \u00E4r inte definierad",InvalidDecimalNumber:"Ogiltig decimaltal",InvalidNumber:"Ogiltigt nummer",NoClosingChar:"Kan inte hitta avslutande %1",IllegalControlSequenceName:"Ogiltigt kontrollsekvensnamn f\u00F6r %1",IllegalParamNumber:"Ogiltigt antal parametrar anges i %1",MissingScript:"Saknat argument f\u00F6r exponent- eller indexl\u00E4ge",DoubleExponentPrime:"Primtecken orsakar dubbla exponenter: Anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",CantUseHash1:"Du kan inte anv\u00E4nda 'makroparameter-tecknet #' i matematikl\u00E4ge",MaxMacroSub1:"MathJax maximala antal makro-substitutioner har \u00F6verskridits; finns det ett rekursivt makroanrop?",MaxMacroSub2:"MathJax maximala antal substitutioner har \u00F6verskridits; finns det en rekursiv LaTeX-milj\u00F6?",ExtraAlignTab:"Extra \u0026-tecken i \\cases-text",BracketMustBeDimension:"Argumentet innanf\u00F6r klammerparenteser till %1 m\u00E5ste vara en dimension",MissingOrUnrecognizedDelim:"Saknad eller \u00E4r ok\u00E4nd avgr\u00E4nsare f\u00F6r %1",MissingDimOrUnits:"Saknar dimension eller dess enheter f\u00F6r %1",MathNotTerminated:"Matematiskt uttryckt ej avslutat i textrutan",IllegalMacroParam:"Ogiltig referens till makroparameter",MaxBufferSize:"MathJax intern buffertstorlek har \u00F6verskridits; finns d\u00E4r ett rekursivt makroanrop?",BadMathStyleFor:"D\u00E5lig matematikstil f\u00F6r %1",PositiveIntegerArg:"Argumentet till %1 m\u00E5ste vara ett positivt heltal",ErroneousNestingEq:"Felaktigt n\u00E4stling av ekvationsstrukturer",MultlineRowsOneCol:"Raderna inom %1-milj\u00F6n m\u00E5ste ha exakt en kolumn",InvalidBBoxProperty:"'%1' verkar inte vara en f\u00E4rg, en utfyllnadsdimension eller en stil",ModelArg1:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 kr\u00E4ver 3 nummer",ModelArg2:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 m\u00E5ste vara mellan %2 och %3",NewextarrowArg1:"F\u00F6rsta argumentet till %1 m\u00E5ste vara namnet p\u00E5 en kontrollsekvens",NewextarrowArg2:"Andra argumentet till %1 m\u00E5ste vara tv\u00E5 heltal separerade av ett komma",NewextarrowArg3:"Tredje argumentet till %1 m\u00E5ste vara nummeret p\u00E5 ett Unicode-tecken",MissingCS:"%1 m\u00E5ste f\u00F6ljas av en kontrollsekvens",CantUseHash2:"Ogiltig anv\u00E4ndning av # i mallen f\u00F6r %1",SequentialParam:"Parametrar f\u00F6r %1 m\u00E5ste numreras sekventiellt",MissingReplacementString:"Saknar ers\u00E4ttningsstr\u00E4ngen f\u00F6r definition av %1",MismatchUseDef:"Anv\u00E4ndning av %1 matchar inte dess definition",RunawayArgument:"Skenande argument f\u00F6r %1?",NoClosingDelim:"Kunde inte hitta avslutande avgr\u00E4nsare f\u00F6r %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/TeX.js"); +MathJax.Localization.addTranslation("sv","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra v\u00E4nsterklammerparentes eller h\u00F6gerklammerparentes saknas",ExtraCloseMissingOpen:"Extra h\u00F6gerklammerparentes eller v\u00E4nsterklammerparentes saknas",MissingLeftExtraRight:"Saknad \\left eller en extra \\right",ExtraLeftMissingRight:"Extra \\left eller en saknad \\right",Misplaced:"Felplacerad %1",MissingOpenForSub:"Saknad v\u00E4nsterklammerparentes f\u00F6r index",MissingOpenForSup:"Saknad v\u00E4nsterklammerparentes f\u00F6r exponent",AmbiguousUseOf:"Tvetydig anv\u00E4ndning av %1",EnvBadEnd:"\\begin{%1} slutade med \\end{%2}",EnvMissingEnd:"Saknad \\end{%1}",MissingBoxFor:"Saknad l\u00E5da f\u00F6r %1",MissingCloseBrace:"Saknad h\u00F6gerklammerparentes",UndefinedControlSequence:"Odefinierad kontrollsekvens %1",DoubleExponent:"Dubbel exponent: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",DoubleSubscripts:"Dubbla index: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",MisplacedMiddle:"%1 m\u00E5ste vara inom \\left och \\right",MisplacedLimits:"%1 till\u00E5ts endast p\u00E5 operat\u00F6rer",MisplacedMoveRoot:"%1 kan endast visas inom en rot",MultipleCommand:"Flera %1",IntegerArg:"Argumentet till %1 m\u00E5ste vara ett heltal",NotMathMLToken:"%1 \u00E4r inte ett token-element",InvalidMathMLAttr:"Ogiltigt MathML-attribut: %1",UnknownAttrForElement:"%1 \u00E4r inte ett igenk\u00E4ndt attribut f\u00F6r %2",MissingArgFor:"Saknat argument f\u00F6r %1",InvalidEnv:"Ogiltigt milj\u00F6namn '%1'",UnknownEnv:"Ok\u00E4nd milj\u00F6 '%1'",ExtraCloseLooking:"Extra h\u00F6gerklammerparentes n\u00E4r %1 s\u00F6ktes",MissingCloseBracket:"Kunde inte hitta avslutande ']' f\u00F6r argumentet till %1",TokenNotFoundForCommand:"Kunde inte hitta %1 f\u00F6r %2",CommandNotAllowedInEnv:"%1 till\u00E5ts inte i %2-milj\u00F6n",MultipleLabel:"Etiketten '%1' definierades flera g\u00E5nger",CommandAtTheBeginingOfLine:"%1 m\u00E5ste vara i b\u00F6rjan p\u00E5 raden",IllegalAlign:"Ogiltig justering anges i %1",MultipleBBoxProperty:"%1 anges tv\u00E5 g\u00E5nger i %2",ExtraEndMissingBegin:"Extra %1 eller en saknad \\begingroup",GlobalNotFollowedBy:"%1 f\u00F6ljs inte av \\let, \\def eller \\newcommand",UndefinedColorModel:"F\u00E4rgmodellen '%1' \u00E4r inte definierad",InvalidDecimalNumber:"Ogiltig decimaltal",InvalidNumber:"Ogiltigt nummer",NoClosingChar:"Kan inte hitta avslutande %1",IllegalControlSequenceName:"Ogiltigt kontrollsekvensnamn f\u00F6r %1",IllegalParamNumber:"Ogiltigt antal parametrar anges i %1",MissingScript:"Saknat argument f\u00F6r exponent- eller indexl\u00E4ge",DoubleExponentPrime:"Primtecken orsakar dubbla exponenter: Anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",CantUseHash1:"Du kan inte anv\u00E4nda 'makroparameter-tecknet #' i matematikl\u00E4ge",MaxMacroSub1:"MathJax maximala antal makro-substitutioner har \u00F6verskridits; finns det ett rekursivt makroanrop?",MaxMacroSub2:"MathJax maximala antal substitutioner har \u00F6verskridits; finns det en rekursiv LaTeX-milj\u00F6?",ExtraAlignTab:"Extra \u0026-tecken i \\cases-text",BracketMustBeDimension:"Argumentet innanf\u00F6r klammerparenteser till %1 m\u00E5ste vara en dimension",MissingOrUnrecognizedDelim:"Saknad eller \u00E4r ok\u00E4nd avgr\u00E4nsare f\u00F6r %1",MissingDimOrUnits:"Saknar dimension eller dess enheter f\u00F6r %1",MathNotTerminated:"Matematiskt uttryckt ej avslutat i textrutan",IllegalMacroParam:"Ogiltig referens till makroparameter",MaxBufferSize:"MathJax intern buffertstorlek har \u00F6verskridits; finns d\u00E4r ett rekursivt makroanrop?",BadMathStyleFor:"D\u00E5lig matematikstil f\u00F6r %1",PositiveIntegerArg:"Argumentet till %1 m\u00E5ste vara ett positivt heltal",ErroneousNestingEq:"Felaktigt n\u00E4stling av ekvationsstrukturer",MultlineRowsOneCol:"Raderna inom %1-milj\u00F6n m\u00E5ste ha exakt en kolumn",InvalidBBoxProperty:"'%1' verkar inte vara en f\u00E4rg, en utfyllnadsdimension eller en stil",ModelArg1:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 kr\u00E4ver 3 nummer",ModelArg2:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 m\u00E5ste vara mellan %2 och %3",NewextarrowArg1:"F\u00F6rsta argumentet till %1 m\u00E5ste vara namnet p\u00E5 en kontrollsekvens",NewextarrowArg2:"Andra argumentet till %1 m\u00E5ste vara tv\u00E5 heltal separerade av ett komma",NewextarrowArg3:"Tredje argumentet till %1 m\u00E5ste vara nummeret p\u00E5 ett Unicode-tecken",MissingCS:"%1 m\u00E5ste f\u00F6ljas av en kontrollsekvens",CantUseHash2:"Ogiltig anv\u00E4ndning av # i mallen f\u00F6r %1",SequentialParam:"Parametrar f\u00F6r %1 m\u00E5ste numreras sekventiellt",MissingReplacementString:"Saknar ers\u00E4ttningsstr\u00E4ngen f\u00F6r definition av %1",MismatchUseDef:"Anv\u00E4ndning av %1 matchar inte dess definition",RunawayArgument:"Skenande argument f\u00F6r %1?",NoClosingDelim:"Kunde inte hitta avslutande avgr\u00E4nsare f\u00F6r %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/TeX.js"); diff --git a/localization/sv/sv.js b/localization/sv/sv.js index ee7068e6ae..95b1ea198d 100644 --- a/localization/sv/sv.js +++ b/localization/sv/sv.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("sv",null,{menuTitle:"svenska",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",MathProcessingError:"Matematikbearbetningsfel",MathError:"Matematikfel",LoadFile:"L\u00E4ser in %1",Loading:"L\u00E4ser in",LoadFailed:"Filen kunde inte l\u00E4sas in: %1",ProcessMath:"Bearbetar matematik: %1%%",Processing:"Bearbetar",TypesetMath:"Typs\u00E4tter matematik: %1%%",Typesetting:"Typs\u00E4ttning",MathJaxNotSupported:"Din webbl\u00E4sare st\u00F6der inte MathJax",ErrorTips:"Fels\u00F6kningstips: anv\u00E4nd %%1, inspektera %%2 i webbl\u00E4sarkonsolen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/sv.js"); +MathJax.Localization.addTranslation("sv",null,{menuTitle:"svenska",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",MathProcessingError:"Matematikbearbetningsfel",MathError:"Matematikfel",LoadFile:"L\u00E4ser in %1",Loading:"L\u00E4ser in",LoadFailed:"Filen kunde inte l\u00E4sas in: %1",ProcessMath:"Bearbetar matematik: %1%%",Processing:"Bearbetar",TypesetMath:"Typs\u00E4tter matematik: %1%%",Typesetting:"Typs\u00E4ttning",MathJaxNotSupported:"Din webbl\u00E4sare st\u00F6der inte MathJax",ErrorTips:"Fels\u00F6kningstips: anv\u00E4nd %%1, inspektera %%2 i webbl\u00E4sarkonsolen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/sv.js"); diff --git a/localization/th/FontWarnings.js b/localization/th/FontWarnings.js index dc49a35783..a3ce5d8bdf 100644 --- a/localization/th/FontWarnings.js +++ b/localization/th/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E40\u0E27\u0E25\u0E32\u0E1A\u0E49\u0E32\u0E07\u0E43\u0E19\u0E01\u0E32\u0E23\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14 \u0E2B\u0E32\u0E01\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E42\u0E2B\u0E25\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E43\u0E2B\u0E49\u0E40\u0E23\u0E47\u0E27 \u0E04\u0E27\u0E23\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19",imageFonts:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E0A\u0E19\u0E34\u0E14\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E48\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E (render) \u0E0A\u0E49\u0E32\u0E01\u0E27\u0E48\u0E32\u0E1B\u0E01\u0E15\u0E34 \u0E41\u0E25\u0E30\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C \u0E08\u0E30\u0E44\u0E21\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E27\u0E32\u0E21\u0E25\u0E30\u0E40\u0E2D\u0E35\u0E22\u0E14\u0E44\u0E14\u0E49\u0E40\u0E15\u0E47\u0E21\u0E17\u0E35\u0E48\u0E19\u0E31\u0E01",noFonts:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E23\u0E30\u0E1A\u0E38\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07\u0E02\u0E2D\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E44\u0E14\u0E49 \u0E08\u0E36\u0E07\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E41\u0E17\u0E19\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E2B\u0E49\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E41\u0E2A\u0E14\u0E07\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E44\u0E14\u0E49 \u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1A\u0E32\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E32\u0E08\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E1B\u0E23\u0E32\u0E01\u0E0F\u0E40\u0E25\u0E22",webFonts:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48\u0E2A\u0E48\u0E27\u0E19\u0E21\u0E32\u0E01\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E14\u0E49 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E23\u0E38\u0E48\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E43\u0E2B\u0E49\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E38\u0E48\u0E19\u0E25\u0E48\u0E32\u0E2A\u0E38\u0E14 (\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C) \u0E2D\u0E32\u0E08\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E04\u0E38\u0E13\u0E20\u0E32\u0E1E\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E44\u0E14\u0E49",fonts:"MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1) \u0E2B\u0E23\u0E37\u0E2D[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax](%2) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E41\u0E1A\u0E1A\u0E43\u0E14\u0E41\u0E1A\u0E1A\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",STIXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",TeXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax TeX](%1) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/FontWarnings.js"); +MathJax.Localization.addTranslation("th","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E40\u0E27\u0E25\u0E32\u0E1A\u0E49\u0E32\u0E07\u0E43\u0E19\u0E01\u0E32\u0E23\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14 \u0E2B\u0E32\u0E01\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E42\u0E2B\u0E25\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E43\u0E2B\u0E49\u0E40\u0E23\u0E47\u0E27 \u0E04\u0E27\u0E23\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19",imageFonts:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E0A\u0E19\u0E34\u0E14\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E48\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E (render) \u0E0A\u0E49\u0E32\u0E01\u0E27\u0E48\u0E32\u0E1B\u0E01\u0E15\u0E34 \u0E41\u0E25\u0E30\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C \u0E08\u0E30\u0E44\u0E21\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E27\u0E32\u0E21\u0E25\u0E30\u0E40\u0E2D\u0E35\u0E22\u0E14\u0E44\u0E14\u0E49\u0E40\u0E15\u0E47\u0E21\u0E17\u0E35\u0E48\u0E19\u0E31\u0E01",noFonts:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E23\u0E30\u0E1A\u0E38\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07\u0E02\u0E2D\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E44\u0E14\u0E49 \u0E08\u0E36\u0E07\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E41\u0E17\u0E19\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E2B\u0E49\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E41\u0E2A\u0E14\u0E07\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E44\u0E14\u0E49 \u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1A\u0E32\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E32\u0E08\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E1B\u0E23\u0E32\u0E01\u0E0F\u0E40\u0E25\u0E22",webFonts:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48\u0E2A\u0E48\u0E27\u0E19\u0E21\u0E32\u0E01\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E14\u0E49 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E23\u0E38\u0E48\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E43\u0E2B\u0E49\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E38\u0E48\u0E19\u0E25\u0E48\u0E32\u0E2A\u0E38\u0E14 (\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C) \u0E2D\u0E32\u0E08\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E04\u0E38\u0E13\u0E20\u0E32\u0E1E\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E44\u0E14\u0E49",fonts:"MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1) \u0E2B\u0E23\u0E37\u0E2D[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax](%2) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E41\u0E1A\u0E1A\u0E43\u0E14\u0E41\u0E1A\u0E1A\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",STIXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",TeXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax TeX](%1) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/FontWarnings.js"); diff --git a/localization/th/HTML-CSS.js b/localization/th/HTML-CSS.js index 8017b0e2fd..b691271d65 100644 --- a/localization/th/HTML-CSS.js +++ b/localization/th/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",CantLoadWebFont:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",FirefoxCantLoadWebFont:"Firefox \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A\u0E08\u0E32\u0E01\u0E42\u0E2E\u0E2A\u0E15\u0E4C\u0E23\u0E30\u0E22\u0E30\u0E44\u0E01\u0E25\u0E44\u0E14\u0E49",CantFindFontUsing:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E42\u0E14\u0E22\u0E43\u0E0A\u0E49 %1",WebFontsNotAvailable:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HTML-CSS.js"); +MathJax.Localization.addTranslation("th","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",CantLoadWebFont:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",FirefoxCantLoadWebFont:"Firefox \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A\u0E08\u0E32\u0E01\u0E42\u0E2E\u0E2A\u0E15\u0E4C\u0E23\u0E30\u0E22\u0E30\u0E44\u0E01\u0E25\u0E44\u0E14\u0E49",CantFindFontUsing:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E42\u0E14\u0E22\u0E43\u0E0A\u0E49 %1",WebFontsNotAvailable:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HTML-CSS.js"); diff --git a/localization/th/HelpDialog.js b/localization/th/HelpDialog.js index 094466f81d..31b214effa 100644 --- a/localization/th/HelpDialog.js +++ b/localization/th/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",MathJax:"*MathJax* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E25\u0E31\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E2B\u0E49\u0E1C\u0E39\u0E49\u0E17\u0E33\u0E40\u0E27\u0E47\u0E1A\u0E43\u0E2A\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E27\u0E49\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E02\u0E2D\u0E07\u0E15\u0E19\u0E44\u0E14\u0E49 \u0E42\u0E14\u0E22\u0E17\u0E48\u0E32\u0E19\u0E43\u0E19\u0E10\u0E32\u0E19\u0E30\u0E1C\u0E39\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E21\u0E48\u0E08\u0E33\u0E15\u0E49\u0E2D\u0E07\u0E17\u0E33\u0E2A\u0E34\u0E48\u0E07\u0E2D\u0E37\u0E48\u0E19\u0E43\u0E14\u0E40\u0E25\u0E22",Browsers:"*\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C*: MathJax \u0E17\u0E33\u0E07\u0E32\u0E19\u0E23\u0E48\u0E27\u0E21\u0E01\u0E31\u0E1A\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48 \u0E46 \u0E44\u0E14\u0E49 \u0E2D\u0E32\u0E17\u0E34 IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0E41\u0E25\u0E30\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E42\u0E17\u0E23\u0E28\u0E31\u0E1E\u0E17\u0E4C\u0E21\u0E37\u0E2D\u0E16\u0E37\u0E2D\u0E2A\u0E48\u0E27\u0E19\u0E43\u0E2B\u0E0D\u0E48",Menu:"*\u0E40\u0E21\u0E19\u0E39\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C*: MathJax \u0E08\u0E30\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E41\u0E15\u0E48\u0E25\u0E30\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E27\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E14 \u0E46 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E02\u0E49\u0E32\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49",ShowMath:"*\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E36\u0E48\u0E07\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E04\u0E31\u0E14\u0E25\u0E2D\u0E01\u0E44\u0E1B\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 (\u0E40\u0E0A\u0E48\u0E19 MathML \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19)",Settings:"*\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32* \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E02\u0E2D\u0E07 MathJax \u0E2D\u0E32\u0E17\u0E34 \u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E43\u0E19\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23",Language:"*\u0E20\u0E32\u0E29\u0E32* \u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E20\u0E32\u0E29\u0E32\u0E17\u0E35\u0E48 MathJax \u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E40\u0E21\u0E19\u0E39\u0E41\u0E25\u0E30\u0E04\u0E33\u0E40\u0E15\u0E37\u0E2D\u0E19\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E44\u0E14\u0E49",Zoom:"*\u0E0B\u0E39\u0E21\u0E2A\u0E21\u0E01\u0E32\u0E23*: \u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E43\u0E19\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E21\u0E35\u0E15\u0E31\u0E27\u0E2B\u0E19\u0E31\u0E07\u0E2A\u0E37\u0E2D\u0E40\u0E25\u0E47\u0E01 MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E43\u0E2B\u0E49\u0E43\u0E2B\u0E0D\u0E48\u0E21\u0E2D\u0E07\u0E40\u0E2B\u0E47\u0E19\u0E07\u0E48\u0E32\u0E22\u0E02\u0E36\u0E49\u0E19",Accessibilty:"*\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E16\u0E36\u0E07\u0E44\u0E14\u0E49*: MathJax \u0E08\u0E30\u0E17\u0E33\u0E07\u0E32\u0E19\u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2D\u0E48\u0E32\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E08\u0E2D\u0E42\u0E14\u0E22\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34 \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E14\u0E49\u0E07\u0E48\u0E32\u0E22 \u0E42\u0E14\u0E22\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E1C\u0E39\u0E49\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E17\u0E32\u0E07\u0E2A\u0E32\u0E22\u0E15\u0E32",Fonts:"*\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23*: MathJax \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E21\u0E35\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E41\u0E25\u0E49\u0E27 \u0E2B\u0E23\u0E37\u0E2D\u0E16\u0E49\u0E32\u0E44\u0E21\u0E48\u0E21\u0E35\u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E2D\u0E22\u0E48\u0E32\u0E07\u0E44\u0E23\u0E01\u0E47\u0E15\u0E32\u0E21\u0E16\u0E49\u0E32\u0E21\u0E35\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E44\u0E27\u0E49\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07 \u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E08\u0E30\u0E23\u0E27\u0E14\u0E40\u0E23\u0E47\u0E27 \u0E40\u0E23\u0E32\u0E02\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E43\u0E2B\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1)",CloseDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HelpDialog.js"); +MathJax.Localization.addTranslation("th","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",MathJax:"*MathJax* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E25\u0E31\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E2B\u0E49\u0E1C\u0E39\u0E49\u0E17\u0E33\u0E40\u0E27\u0E47\u0E1A\u0E43\u0E2A\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E27\u0E49\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E02\u0E2D\u0E07\u0E15\u0E19\u0E44\u0E14\u0E49 \u0E42\u0E14\u0E22\u0E17\u0E48\u0E32\u0E19\u0E43\u0E19\u0E10\u0E32\u0E19\u0E30\u0E1C\u0E39\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E21\u0E48\u0E08\u0E33\u0E15\u0E49\u0E2D\u0E07\u0E17\u0E33\u0E2A\u0E34\u0E48\u0E07\u0E2D\u0E37\u0E48\u0E19\u0E43\u0E14\u0E40\u0E25\u0E22",Browsers:"*\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C*: MathJax \u0E17\u0E33\u0E07\u0E32\u0E19\u0E23\u0E48\u0E27\u0E21\u0E01\u0E31\u0E1A\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48 \u0E46 \u0E44\u0E14\u0E49 \u0E2D\u0E32\u0E17\u0E34 IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0E41\u0E25\u0E30\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E42\u0E17\u0E23\u0E28\u0E31\u0E1E\u0E17\u0E4C\u0E21\u0E37\u0E2D\u0E16\u0E37\u0E2D\u0E2A\u0E48\u0E27\u0E19\u0E43\u0E2B\u0E0D\u0E48",Menu:"*\u0E40\u0E21\u0E19\u0E39\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C*: MathJax \u0E08\u0E30\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E41\u0E15\u0E48\u0E25\u0E30\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E27\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E14 \u0E46 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E02\u0E49\u0E32\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49",ShowMath:"*\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E36\u0E48\u0E07\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E04\u0E31\u0E14\u0E25\u0E2D\u0E01\u0E44\u0E1B\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 (\u0E40\u0E0A\u0E48\u0E19 MathML \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19)",Settings:"*\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32* \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E02\u0E2D\u0E07 MathJax \u0E2D\u0E32\u0E17\u0E34 \u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E43\u0E19\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23",Language:"*\u0E20\u0E32\u0E29\u0E32* \u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E20\u0E32\u0E29\u0E32\u0E17\u0E35\u0E48 MathJax \u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E40\u0E21\u0E19\u0E39\u0E41\u0E25\u0E30\u0E04\u0E33\u0E40\u0E15\u0E37\u0E2D\u0E19\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E44\u0E14\u0E49",Zoom:"*\u0E0B\u0E39\u0E21\u0E2A\u0E21\u0E01\u0E32\u0E23*: \u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E43\u0E19\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E21\u0E35\u0E15\u0E31\u0E27\u0E2B\u0E19\u0E31\u0E07\u0E2A\u0E37\u0E2D\u0E40\u0E25\u0E47\u0E01 MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E43\u0E2B\u0E49\u0E43\u0E2B\u0E0D\u0E48\u0E21\u0E2D\u0E07\u0E40\u0E2B\u0E47\u0E19\u0E07\u0E48\u0E32\u0E22\u0E02\u0E36\u0E49\u0E19",Accessibilty:"*\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E16\u0E36\u0E07\u0E44\u0E14\u0E49*: MathJax \u0E08\u0E30\u0E17\u0E33\u0E07\u0E32\u0E19\u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2D\u0E48\u0E32\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E08\u0E2D\u0E42\u0E14\u0E22\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34 \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E14\u0E49\u0E07\u0E48\u0E32\u0E22 \u0E42\u0E14\u0E22\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E1C\u0E39\u0E49\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E17\u0E32\u0E07\u0E2A\u0E32\u0E22\u0E15\u0E32",Fonts:"*\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23*: MathJax \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E21\u0E35\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E41\u0E25\u0E49\u0E27 \u0E2B\u0E23\u0E37\u0E2D\u0E16\u0E49\u0E32\u0E44\u0E21\u0E48\u0E21\u0E35\u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E2D\u0E22\u0E48\u0E32\u0E07\u0E44\u0E23\u0E01\u0E47\u0E15\u0E32\u0E21\u0E16\u0E49\u0E32\u0E21\u0E35\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E44\u0E27\u0E49\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07 \u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E08\u0E30\u0E23\u0E27\u0E14\u0E40\u0E23\u0E47\u0E27 \u0E40\u0E23\u0E32\u0E02\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E43\u0E2B\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1)",CloseDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HelpDialog.js"); diff --git a/localization/th/MathML.js b/localization/th/MathML.js index f55227de6a..a7e13cf685 100644 --- a/localization/th/MathML.js +++ b/localization/th/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"mglyph \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",BadMglyphFont:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",MathPlayer:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E44\u0E14\u0E49\n\n\u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07 MathPlayer \u0E02\u0E2D\u0E43\u0E2B\u0E49\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E01\u0E48\u0E2D\u0E19\n\u0E21\u0E34\u0E09\u0E30\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22\u0E08\u0E30\u0E01\u0E35\u0E14\u0E01\u0E31\u0E19\u0E21\u0E34\u0E43\u0E2B\u0E49\u0E15\u0E31\u0E27\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21 ActiveX\n\u0E17\u0E33\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49 \u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E40\u0E25\u0E37\u0E2D\u0E01\n\u0E41\u0E17\u0E47\u0E1A Security \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E01\u0E48\u0E2D\u0E19\u0E08\u0E30\u0E17\u0E33\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E16\u0E39\u0E01\u0E17\u0E35\u0E48\n'Run ActiveX Controls' \u0E41\u0E25\u0E30 'Binary and script behaviors'\n\n\u0E13 \u0E02\u0E13\u0E30\u0E19\u0E35\u0E49\u0E17\u0E48\u0E32\u0E19\u0E08\u0E30\u0E40\u0E2B\u0E47\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",CantCreateXMLParser:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E15\u0E31\u0E27\u0E41\u0E1A\u0E48\u0E07\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19 XML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E0A\u0E49\u0E43\u0E19 MathML \u0E42\u0E1B\u0E23\u0E14\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A\u0E27\u0E48\u0E32\n\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22 'Script ActiveX controls marked safe for scripting'\n\u0E16\u0E39\u0E01\u0E40\u0E1B\u0E34\u0E14\u0E2D\u0E22\u0E39\u0E48 (\u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E41\u0E17\u0E47\u0E1A Security \n\u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E15\u0E48\u0E2D\u0E44\u0E1B).\n\n\u0E2A\u0E21\u0E01\u0E32\u0E23 MathML \u0E08\u0E30\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E16\u0E39\u0E01\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E44\u0E14\u0E49\u0E42\u0E14\u0E22 MathJax",UnknownNodeType:"\u0E0A\u0E19\u0E34\u0E14\u0E42\u0E2B\u0E19\u0E14\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A: %1",UnexpectedTextNode:"\u0E42\u0E2B\u0E19\u0E14\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01: %1",ErrorParsingMathML:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (parsing) MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",ParsingError:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 MathML: %1 \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathMLSingleElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2D\u0E31\u0E19\u0E40\u0E14\u0E35\u0E22\u0E27\u0E08\u0E30\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49",MathMLRootElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathML.js"); +MathJax.Localization.addTranslation("th","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",BadMglyphFont:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",MathPlayer:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E44\u0E14\u0E49\n\n\u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07 MathPlayer \u0E02\u0E2D\u0E43\u0E2B\u0E49\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E01\u0E48\u0E2D\u0E19\n\u0E21\u0E34\u0E09\u0E30\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22\u0E08\u0E30\u0E01\u0E35\u0E14\u0E01\u0E31\u0E19\u0E21\u0E34\u0E43\u0E2B\u0E49\u0E15\u0E31\u0E27\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21 ActiveX\n\u0E17\u0E33\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49 \u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E40\u0E25\u0E37\u0E2D\u0E01\n\u0E41\u0E17\u0E47\u0E1A Security \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E01\u0E48\u0E2D\u0E19\u0E08\u0E30\u0E17\u0E33\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E16\u0E39\u0E01\u0E17\u0E35\u0E48\n'Run ActiveX Controls' \u0E41\u0E25\u0E30 'Binary and script behaviors'\n\n\u0E13 \u0E02\u0E13\u0E30\u0E19\u0E35\u0E49\u0E17\u0E48\u0E32\u0E19\u0E08\u0E30\u0E40\u0E2B\u0E47\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",CantCreateXMLParser:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E15\u0E31\u0E27\u0E41\u0E1A\u0E48\u0E07\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19 XML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E0A\u0E49\u0E43\u0E19 MathML \u0E42\u0E1B\u0E23\u0E14\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A\u0E27\u0E48\u0E32\n\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22 'Script ActiveX controls marked safe for scripting'\n\u0E16\u0E39\u0E01\u0E40\u0E1B\u0E34\u0E14\u0E2D\u0E22\u0E39\u0E48 (\u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E41\u0E17\u0E47\u0E1A Security \n\u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E15\u0E48\u0E2D\u0E44\u0E1B).\n\n\u0E2A\u0E21\u0E01\u0E32\u0E23 MathML \u0E08\u0E30\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E16\u0E39\u0E01\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E44\u0E14\u0E49\u0E42\u0E14\u0E22 MathJax",UnknownNodeType:"\u0E0A\u0E19\u0E34\u0E14\u0E42\u0E2B\u0E19\u0E14\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A: %1",UnexpectedTextNode:"\u0E42\u0E2B\u0E19\u0E14\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01: %1",ErrorParsingMathML:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (parsing) MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",ParsingError:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 MathML: %1 \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathMLSingleElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2D\u0E31\u0E19\u0E40\u0E14\u0E35\u0E22\u0E27\u0E08\u0E30\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49",MathMLRootElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathML.js"); diff --git a/localization/th/MathMenu.js b/localization/th/MathMenu.js index 69fddfe348..53cb5a4d5f 100644 --- a/localization/th/MathMenu.js +++ b/localization/th/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B",MathMLcode:"\u0E23\u0E2B\u0E31\u0E2A MathML",OriginalMathML:"MathML \u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",TeXCommands:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 TeX",AsciiMathInput:"\u0E2D\u0E34\u0E19\u0E1E\u0E38\u0E15 AsciiMathML",Original:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21",ErrorMessage:"\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",Annotation:"\u0E04\u0E33\u0E2D\u0E18\u0E34\u0E1A\u0E32\u0E22\u0E01\u0E33\u0E01\u0E31\u0E1A",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0E40\u0E19\u0E37\u0E49\u0E2D\u0E2B\u0E32 MathML",OpenMath:"OpenMath",texHints:"\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E33\u0E41\u0E19\u0E30\u0E19\u0E33 TeX \u0E43\u0E19 MathML",Settings:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",ZoomTrigger:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Hover:"\u0E25\u0E32\u0E01\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07",Click:"\u0E04\u0E25\u0E34\u0E01",DoubleClick:"\u0E04\u0E25\u0E34\u0E01\u0E2A\u0E2D\u0E07\u0E04\u0E23\u0E31\u0E49\u0E07",NoZoom:"\u0E02\u0E19\u0E32\u0E14\u0E40\u0E14\u0E34\u0E21",TriggerRequires:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35:",Option:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Renderer:"\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",MPHandles:"\u0E43\u0E2B\u0E49 MathPlayer \u0E08\u0E31\u0E14\u0E01\u0E32\u0E23\u0E2A\u0E34\u0E48\u0E07\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",MenuEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E19\u0E39",MouseEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C",MenuAndMouse:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E41\u0E25\u0E30\u0E40\u0E21\u0E19\u0E39",FontPrefs:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23",ForHTMLCSS:"\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A HTML-CSS:",Auto:"\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34",TeXLocal:"TeX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",TeXWeb:"TeX (\u0E40\u0E27\u0E47\u0E1A)",TeXImage:"TeX (\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E)",STIXLocal:"STIX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",STIXWeb:"STIX (\u0E40\u0E27\u0E47\u0E1A)",AsanaMathWeb:"Asana Math (\u0E40\u0E27\u0E47\u0E1A)",GyrePagellaWeb:"Gyre Pagella (\u0E40\u0E27\u0E47\u0E1A)",GyreTermesWeb:"Gyre Termes (\u0E40\u0E27\u0E47\u0E1A)",LatinModernWeb:"Latin Modern (\u0E40\u0E27\u0E47\u0E1A)",NeoEulerWeb:"Neo Euler (\u0E40\u0E27\u0E47\u0E1A)",ContextMenu:"\u0E40\u0E21\u0E19\u0E39\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32",Browser:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C",Scale:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 ...",Discoverable:"\u0E40\u0E19\u0E49\u0E19\u0E2A\u0E35\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E0A\u0E35\u0E49\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07\u0E44\u0E27\u0E49",Locale:"\u0E20\u0E32\u0E29\u0E32",LoadLocale:"\u0E42\u0E2B\u0E25\u0E14\u0E08\u0E32\u0E01\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48 URL ...",About:"\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",localTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",imagefonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E",localSTIXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webSVGfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",genericfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E17\u0E31\u0E48\u0E27\u0E44\u0E1B",wofforotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 WOFF \u0E2B\u0E23\u0E37\u0E2D OTF",eotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 EOT",svgfonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG",WebkitNativeMMLWarning:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E23\u0E2D\u0E07\u0E23\u0E31\u0E1A MathML \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2D\u0E2D\u0E01",MSIENativeMMLWarning:"Internet Explorer \u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E1B\u0E25\u0E31\u0E4A\u0E01\u0E2D\u0E34\u0E19 MathPlayer \u0E43\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML",OperaNativeMMLWarning:"\u0E01\u0E32\u0E23\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathML \u0E43\u0E19 Opera's \u0E21\u0E35\u0E08\u0E33\u0E01\u0E31\u0E14 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",SafariNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",FirefoxNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",MSIESVGWarning:"SVG \u0E44\u0E21\u0E48\u0E21\u0E35\u0E43\u0E19 Internet Explorer \u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 IE9 \u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E01\u0E31\u0E19\u0E44\u0E14\u0E49\u0E01\u0E31\u0E1A IE8 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 \u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E1B\u0E47\u0E19 SVG \u0E08\u0E30\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",LoadURL:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",BadURL:"\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E0B\u0E36\u0E48\u0E07\u0E23\u0E30\u0E1A\u0E38\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25 MathJax \u0E17\u0E31\u0E49\u0E07\u0E19\u0E35\u0E49\u0E41\u0E1F\u0E49\u0E21\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22 '.js'",BadData:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01 %1",SwitchAnyway:"\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E15\u0E31\u0E27\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E/\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E14\u0E35\u0E4B\u0E22\u0E27\u0E19\u0E35\u0E49\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\n\n(\u0E01\u0E14 \u0E15\u0E01\u0E25\u0E07 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E22\u0E01\u0E40\u0E25\u0E34\u0E01 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E15\u0E31\u0E27\u0E40\u0E14\u0E34\u0E21)",ScaleMath:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 (\u0E40\u0E17\u0E35\u0E22\u0E1A\u0E01\u0E31\u0E1A\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E02\u0E49\u0E32\u0E07\u0E40\u0E04\u0E35\u0E22\u0E07) \u0E42\u0E14\u0E22\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19",NonZeroScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E44\u0E21\u0E48\u0E04\u0E27\u0E23\u0E40\u0E1B\u0E47\u0E19\u0E28\u0E39\u0E19\u0E22\u0E4C",PercentScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E04\u0E27\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E49\u0E2D\u0E22\u0E25\u0E30 (\u0E40\u0E0A\u0E48\u0E19 120%%)",IE8warning:"\u0E01\u0E32\u0E23\u0E01\u0E23\u0E30\u0E17\u0E33\u0E19\u0E35\u0E49\u0E08\u0E30\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E40\u0E21\u0E19\u0E39 MathJax \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E44\u0E14\u0E49\n\n\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",IE9warning:"\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E2A\u0E21\u0E01\u0E32\u0E23 MathJax \u0E08\u0E30\u0E16\u0E39\u0E01\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E41\u0E17\u0E19\u0E44\u0E14\u0E49",NoOriginalForm:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",Close:"\u0E1B\u0E34\u0E14",EqSource:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A MathJax",CloseAboutDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",FastPreview:"\u0E41\u0E2A\u0E14\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E22\u0E48\u0E32\u0E07\u0E40\u0E23\u0E48\u0E07\u0E14\u0E48\u0E27\u0E19",AssistiveMML:"MathML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E01\u0E32\u0E23\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D",InTabOrder:"\u0E23\u0E27\u0E21\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A\u0E41\u0E17\u0E47\u0E1A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathMenu.js"); +MathJax.Localization.addTranslation("th","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B",MathMLcode:"\u0E23\u0E2B\u0E31\u0E2A MathML",OriginalMathML:"MathML \u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",TeXCommands:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 TeX",AsciiMathInput:"\u0E2D\u0E34\u0E19\u0E1E\u0E38\u0E15 AsciiMathML",Original:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21",ErrorMessage:"\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",Annotation:"\u0E04\u0E33\u0E2D\u0E18\u0E34\u0E1A\u0E32\u0E22\u0E01\u0E33\u0E01\u0E31\u0E1A",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0E40\u0E19\u0E37\u0E49\u0E2D\u0E2B\u0E32 MathML",OpenMath:"OpenMath",texHints:"\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E33\u0E41\u0E19\u0E30\u0E19\u0E33 TeX \u0E43\u0E19 MathML",Settings:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",ZoomTrigger:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Hover:"\u0E25\u0E32\u0E01\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07",Click:"\u0E04\u0E25\u0E34\u0E01",DoubleClick:"\u0E04\u0E25\u0E34\u0E01\u0E2A\u0E2D\u0E07\u0E04\u0E23\u0E31\u0E49\u0E07",NoZoom:"\u0E02\u0E19\u0E32\u0E14\u0E40\u0E14\u0E34\u0E21",TriggerRequires:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35:",Option:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Renderer:"\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",MPHandles:"\u0E43\u0E2B\u0E49 MathPlayer \u0E08\u0E31\u0E14\u0E01\u0E32\u0E23\u0E2A\u0E34\u0E48\u0E07\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",MenuEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E19\u0E39",MouseEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C",MenuAndMouse:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E41\u0E25\u0E30\u0E40\u0E21\u0E19\u0E39",FontPrefs:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23",ForHTMLCSS:"\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A HTML-CSS:",Auto:"\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34",TeXLocal:"TeX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",TeXWeb:"TeX (\u0E40\u0E27\u0E47\u0E1A)",TeXImage:"TeX (\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E)",STIXLocal:"STIX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",STIXWeb:"STIX (\u0E40\u0E27\u0E47\u0E1A)",AsanaMathWeb:"Asana Math (\u0E40\u0E27\u0E47\u0E1A)",GyrePagellaWeb:"Gyre Pagella (\u0E40\u0E27\u0E47\u0E1A)",GyreTermesWeb:"Gyre Termes (\u0E40\u0E27\u0E47\u0E1A)",LatinModernWeb:"Latin Modern (\u0E40\u0E27\u0E47\u0E1A)",NeoEulerWeb:"Neo Euler (\u0E40\u0E27\u0E47\u0E1A)",ContextMenu:"\u0E40\u0E21\u0E19\u0E39\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32",Browser:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C",Scale:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 ...",Discoverable:"\u0E40\u0E19\u0E49\u0E19\u0E2A\u0E35\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E0A\u0E35\u0E49\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07\u0E44\u0E27\u0E49",Locale:"\u0E20\u0E32\u0E29\u0E32",LoadLocale:"\u0E42\u0E2B\u0E25\u0E14\u0E08\u0E32\u0E01\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48 URL ...",About:"\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",localTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",imagefonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E",localSTIXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webSVGfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",genericfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E17\u0E31\u0E48\u0E27\u0E44\u0E1B",wofforotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 WOFF \u0E2B\u0E23\u0E37\u0E2D OTF",eotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 EOT",svgfonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG",WebkitNativeMMLWarning:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E23\u0E2D\u0E07\u0E23\u0E31\u0E1A MathML \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2D\u0E2D\u0E01",MSIENativeMMLWarning:"Internet Explorer \u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E1B\u0E25\u0E31\u0E4A\u0E01\u0E2D\u0E34\u0E19 MathPlayer \u0E43\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML",OperaNativeMMLWarning:"\u0E01\u0E32\u0E23\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathML \u0E43\u0E19 Opera's \u0E21\u0E35\u0E08\u0E33\u0E01\u0E31\u0E14 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",SafariNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",FirefoxNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",MSIESVGWarning:"SVG \u0E44\u0E21\u0E48\u0E21\u0E35\u0E43\u0E19 Internet Explorer \u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 IE9 \u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E01\u0E31\u0E19\u0E44\u0E14\u0E49\u0E01\u0E31\u0E1A IE8 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 \u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E1B\u0E47\u0E19 SVG \u0E08\u0E30\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",LoadURL:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",BadURL:"\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E0B\u0E36\u0E48\u0E07\u0E23\u0E30\u0E1A\u0E38\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25 MathJax \u0E17\u0E31\u0E49\u0E07\u0E19\u0E35\u0E49\u0E41\u0E1F\u0E49\u0E21\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22 '.js'",BadData:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01 %1",SwitchAnyway:"\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E15\u0E31\u0E27\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E/\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E14\u0E35\u0E4B\u0E22\u0E27\u0E19\u0E35\u0E49\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\n\n(\u0E01\u0E14 \u0E15\u0E01\u0E25\u0E07 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E22\u0E01\u0E40\u0E25\u0E34\u0E01 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E15\u0E31\u0E27\u0E40\u0E14\u0E34\u0E21)",ScaleMath:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 (\u0E40\u0E17\u0E35\u0E22\u0E1A\u0E01\u0E31\u0E1A\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E02\u0E49\u0E32\u0E07\u0E40\u0E04\u0E35\u0E22\u0E07) \u0E42\u0E14\u0E22\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19",NonZeroScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E44\u0E21\u0E48\u0E04\u0E27\u0E23\u0E40\u0E1B\u0E47\u0E19\u0E28\u0E39\u0E19\u0E22\u0E4C",PercentScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E04\u0E27\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E49\u0E2D\u0E22\u0E25\u0E30 (\u0E40\u0E0A\u0E48\u0E19 120%%)",IE8warning:"\u0E01\u0E32\u0E23\u0E01\u0E23\u0E30\u0E17\u0E33\u0E19\u0E35\u0E49\u0E08\u0E30\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E40\u0E21\u0E19\u0E39 MathJax \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E44\u0E14\u0E49\n\n\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",IE9warning:"\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E2A\u0E21\u0E01\u0E32\u0E23 MathJax \u0E08\u0E30\u0E16\u0E39\u0E01\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E41\u0E17\u0E19\u0E44\u0E14\u0E49",NoOriginalForm:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",Close:"\u0E1B\u0E34\u0E14",EqSource:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A MathJax",CloseAboutDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",FastPreview:"\u0E41\u0E2A\u0E14\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E22\u0E48\u0E32\u0E07\u0E40\u0E23\u0E48\u0E07\u0E14\u0E48\u0E27\u0E19",AssistiveMML:"MathML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E01\u0E32\u0E23\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D",InTabOrder:"\u0E23\u0E27\u0E21\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A\u0E41\u0E17\u0E47\u0E1A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathMenu.js"); diff --git a/localization/th/TeX.js b/localization/th/TeX.js index 1b3aa74803..b24509880b 100644 --- a/localization/th/TeX.js +++ b/localization/th/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",ExtraCloseMissingOpen:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14",MissingLeftExtraRight:"\u0E02\u0E32\u0E14 \\left \u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E35 \\right \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32",MissingScript:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E2B\u0E23\u0E37\u0E2D\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E27\u0E48\u0E32\u0E07\u0E40\u0E1B\u0E25\u0E48\u0E32",ExtraLeftMissingRight:"\u0E21\u0E35 \\left \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\right",Misplaced:"\u0E27\u0E32\u0E07 %1 \u0E1C\u0E34\u0E14\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07",MissingOpenForSub:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22",MissingOpenForSup:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E22\u0E01",AmbiguousUseOf:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",EnvBadEnd:"\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\begin{%1} \u0E41\u0E15\u0E48\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%2}",EnvMissingEnd:"\u0E25\u0E37\u0E21\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%1}",MissingBoxFor:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1",MissingCloseBrace:"\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",UndefinedControlSequence:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E30\u0E1A\u0E38\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19 %1",DoubleExponent:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleSubscripts:"\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleExponentPrime:"\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E1E\u0E23\u0E21\u0E4C (Prime) \u0E27\u0E32\u0E07\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E31\u0E01\u0E29\u0E13\u0E30\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E08\u0E31\u0E14\u0E40\u0E08\u0E19",CantUseHash1:"\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49 '\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23 #' \u0E43\u0E19\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E14\u0E49",MisplacedMiddle:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 \\left \u0E41\u0E25\u0E30 \\right",MisplacedLimits:"\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49 %1 \u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MisplacedMoveRoot:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E22\u0E39\u0E48\u0E44\u0E14\u0E49\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E20\u0E32\u0E22\u0E43\u0E19\u0E23\u0E32\u0E01\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleCommand:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",IntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E02\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21",NotMathMLToken:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19 token element",InvalidMathMLAttr:"\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",UnknownAttrForElement:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E01\u0E31\u0E1A %2 \u0E44\u0E14\u0E49",MaxMacroSub1:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E21\u0E32\u0E42\u0E04\u0E23\u0E02\u0E2D\u0E07 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MaxMacroSub2:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E04\u0E48\u0E32 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E08\u0E30\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MissingArgFor:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E21\u0E35\u0E2D\u0E07\u0E04\u0E4C\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E08\u0E33\u0E40\u0E1B\u0E47\u0E19\u0E44\u0E21\u0E48\u0E04\u0E23\u0E1A\u0E16\u0E49\u0E27\u0E19",ExtraAlignTab:"\u0E21\u0E35\u0E41\u0E17\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E15\u0E34\u0E21\u0E43\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21 \\cases",BracketMustBeDimension:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E43\u0E19\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E34\u0E15\u0E34",InvalidEnv:"\u0E0A\u0E37\u0E48\u0E2D\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 '%1'\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",UnknownEnv:"\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (environment) \u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E1B\u0E25\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49 '%1'",ExtraCloseLooking:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E02\u0E13\u0E30\u0E17\u0E35\u0E48\u0E15\u0E23\u0E27\u0E08\u0E2B\u0E32 %1",MissingCloseBracket:"\u0E44\u0E21\u0E48\u0E1E\u0E1A ']' \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MissingOrUnrecognizedDelim:"\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A %1 \u0E2B\u0E32\u0E22\u0E44\u0E1B \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01",MissingDimOrUnits:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E19\u0E48\u0E27\u0E22\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",TokenNotFoundForCommand:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32 %1 \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %2",MathNotTerminated:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E34\u0E14\u0E44\u0E21\u0E48\u0E40\u0E23\u0E35\u0E22\u0E1A\u0E23\u0E49\u0E2D\u0E22",IllegalMacroParam:"\u0E01\u0E32\u0E23\u0E2D\u0E49\u0E32\u0E07\u0E16\u0E36\u0E07\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C",MaxBufferSize:"\u0E1A\u0E31\u0E1F\u0E40\u0E1F\u0E2D\u0E23\u0E4C\u0E20\u0E32\u0E22\u0E43\u0E19\u0E02\u0E2D\u0E07 MathJax \u0E25\u0E49\u0E19\u0E40\u0E01\u0E34\u0E19\u0E02\u0E19\u0E32\u0E14 \u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E21\u0E32\u0E42\u0E04\u0E23\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",CommandNotAllowedInEnv:"\u0E44\u0E21\u0E48\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E20\u0E32\u0E22\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %2",MultipleLabel:"\u0E1B\u0E49\u0E32\u0E22\u0E23\u0E30\u0E1A\u0E38 '%1' \u0E21\u0E35\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E01\u0E31\u0E19",CommandAtTheBeginingOfLine:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E15\u0E49\u0E19\u0E1A\u0E23\u0E23\u0E17\u0E31\u0E14",IllegalAlign:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E43\u0E19 %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",BadMathStyleFor:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",PositiveIntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E1A\u0E27\u0E01",ErroneousNestingEq:"\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E40\u0E23\u0E35\u0E22\u0E07\u0E42\u0E04\u0E23\u0E07\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E49\u0E2D\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E21\u0E35\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MultlineRowsOneCol:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E41\u0E16\u0E27\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E08\u0E33\u0E19\u0E27\u0E19\u0E04\u0E2D\u0E25\u0E31\u0E21\u0E19\u0E4C\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleBBoxProperty:"\u0E23\u0E30\u0E1A\u0E38 %1 \u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E43\u0E19 %2",InvalidBBoxProperty:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32 '%1' \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48\u0E2A\u0E35 \u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E40\u0E15\u0E34\u0E21 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A",ExtraEndMissingBegin:"\u0E21\u0E35 %1 \u0E40\u0E01\u0E34\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\begingroup",GlobalNotFollowedBy:"%1 \u0E44\u0E21\u0E48\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22 \\let, \\def, \u0E2B\u0E23\u0E37\u0E2D \\newcommand",UndefinedColorModel:"\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07\u0E2A\u0E35 '%1' \u0E22\u0E31\u0E07\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E19\u0E34\u0E22\u0E32\u0E21",ModelArg1:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02 3 \u0E15\u0E31\u0E27",InvalidDecimalNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E17\u0E28\u0E19\u0E34\u0E22\u0E21\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",ModelArg2:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 %2 \u0E41\u0E25\u0E30 %3",InvalidNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",NewextarrowArg1:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E41\u0E23\u0E01\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",NewextarrowArg2:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E2D\u0E07\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E2A\u0E2D\u0E07\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E14\u0E49\u0E27\u0E22\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E08\u0E38\u0E25\u0E20\u0E32\u0E04",NewextarrowArg3:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E32\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E2B\u0E31\u0E2A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14",NoClosingChar:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14 %1",IllegalControlSequenceName:"\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C",IllegalParamNumber:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E23\u0E30\u0E1A\u0E38\u0E43\u0E19 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C (\u0E02\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E01\u0E34\u0E19)",MissingCS:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",CantUseHash2:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49 # \u0E0B\u0E36\u0E48\u0E07\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C\u0E43\u0E19\u0E41\u0E21\u0E48\u0E41\u0E1A\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",SequentialParam:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A",MissingReplacementString:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E15\u0E31\u0E27\u0E41\u0E17\u0E19\u0E2A\u0E32\u0E22\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E43\u0E19\u0E19\u0E34\u0E22\u0E32\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MismatchUseDef:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E44\u0E21\u0E48\u0E15\u0E23\u0E07\u0E01\u0E31\u0E1A\u0E19\u0E34\u0E22\u0E32\u0E21\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07",RunawayArgument:"\u0E21\u0E35\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E25\u0E30\u0E40\u0E27\u0E49\u0E19\u0E44\u0E27\u0E49\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1?",NoClosingDelim:"\u0E44\u0E21\u0E48\u0E1E\u0E1A closing delimiter \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/TeX.js"); +MathJax.Localization.addTranslation("th","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",ExtraCloseMissingOpen:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14",MissingLeftExtraRight:"\u0E02\u0E32\u0E14 \\left \u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E35 \\right \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32",MissingScript:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E2B\u0E23\u0E37\u0E2D\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E27\u0E48\u0E32\u0E07\u0E40\u0E1B\u0E25\u0E48\u0E32",ExtraLeftMissingRight:"\u0E21\u0E35 \\left \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\right",Misplaced:"\u0E27\u0E32\u0E07 %1 \u0E1C\u0E34\u0E14\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07",MissingOpenForSub:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22",MissingOpenForSup:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E22\u0E01",AmbiguousUseOf:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",EnvBadEnd:"\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\begin{%1} \u0E41\u0E15\u0E48\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%2}",EnvMissingEnd:"\u0E25\u0E37\u0E21\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%1}",MissingBoxFor:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1",MissingCloseBrace:"\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",UndefinedControlSequence:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E30\u0E1A\u0E38\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19 %1",DoubleExponent:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleSubscripts:"\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleExponentPrime:"\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E1E\u0E23\u0E21\u0E4C (Prime) \u0E27\u0E32\u0E07\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E31\u0E01\u0E29\u0E13\u0E30\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E08\u0E31\u0E14\u0E40\u0E08\u0E19",CantUseHash1:"\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49 '\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23 #' \u0E43\u0E19\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E14\u0E49",MisplacedMiddle:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 \\left \u0E41\u0E25\u0E30 \\right",MisplacedLimits:"\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49 %1 \u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MisplacedMoveRoot:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E22\u0E39\u0E48\u0E44\u0E14\u0E49\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E20\u0E32\u0E22\u0E43\u0E19\u0E23\u0E32\u0E01\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleCommand:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",IntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E02\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21",NotMathMLToken:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19 token element",InvalidMathMLAttr:"\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",UnknownAttrForElement:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E01\u0E31\u0E1A %2 \u0E44\u0E14\u0E49",MaxMacroSub1:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E21\u0E32\u0E42\u0E04\u0E23\u0E02\u0E2D\u0E07 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MaxMacroSub2:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E04\u0E48\u0E32 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E08\u0E30\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MissingArgFor:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E21\u0E35\u0E2D\u0E07\u0E04\u0E4C\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E08\u0E33\u0E40\u0E1B\u0E47\u0E19\u0E44\u0E21\u0E48\u0E04\u0E23\u0E1A\u0E16\u0E49\u0E27\u0E19",ExtraAlignTab:"\u0E21\u0E35\u0E41\u0E17\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E15\u0E34\u0E21\u0E43\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21 \\cases",BracketMustBeDimension:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E43\u0E19\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E34\u0E15\u0E34",InvalidEnv:"\u0E0A\u0E37\u0E48\u0E2D\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 '%1'\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",UnknownEnv:"\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (environment) \u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E1B\u0E25\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49 '%1'",ExtraCloseLooking:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E02\u0E13\u0E30\u0E17\u0E35\u0E48\u0E15\u0E23\u0E27\u0E08\u0E2B\u0E32 %1",MissingCloseBracket:"\u0E44\u0E21\u0E48\u0E1E\u0E1A ']' \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MissingOrUnrecognizedDelim:"\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A %1 \u0E2B\u0E32\u0E22\u0E44\u0E1B \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01",MissingDimOrUnits:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E19\u0E48\u0E27\u0E22\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",TokenNotFoundForCommand:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32 %1 \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %2",MathNotTerminated:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E34\u0E14\u0E44\u0E21\u0E48\u0E40\u0E23\u0E35\u0E22\u0E1A\u0E23\u0E49\u0E2D\u0E22",IllegalMacroParam:"\u0E01\u0E32\u0E23\u0E2D\u0E49\u0E32\u0E07\u0E16\u0E36\u0E07\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C",MaxBufferSize:"\u0E1A\u0E31\u0E1F\u0E40\u0E1F\u0E2D\u0E23\u0E4C\u0E20\u0E32\u0E22\u0E43\u0E19\u0E02\u0E2D\u0E07 MathJax \u0E25\u0E49\u0E19\u0E40\u0E01\u0E34\u0E19\u0E02\u0E19\u0E32\u0E14 \u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E21\u0E32\u0E42\u0E04\u0E23\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",CommandNotAllowedInEnv:"\u0E44\u0E21\u0E48\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E20\u0E32\u0E22\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %2",MultipleLabel:"\u0E1B\u0E49\u0E32\u0E22\u0E23\u0E30\u0E1A\u0E38 '%1' \u0E21\u0E35\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E01\u0E31\u0E19",CommandAtTheBeginingOfLine:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E15\u0E49\u0E19\u0E1A\u0E23\u0E23\u0E17\u0E31\u0E14",IllegalAlign:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E43\u0E19 %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",BadMathStyleFor:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",PositiveIntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E1A\u0E27\u0E01",ErroneousNestingEq:"\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E40\u0E23\u0E35\u0E22\u0E07\u0E42\u0E04\u0E23\u0E07\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E49\u0E2D\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E21\u0E35\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MultlineRowsOneCol:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E41\u0E16\u0E27\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E08\u0E33\u0E19\u0E27\u0E19\u0E04\u0E2D\u0E25\u0E31\u0E21\u0E19\u0E4C\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleBBoxProperty:"\u0E23\u0E30\u0E1A\u0E38 %1 \u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E43\u0E19 %2",InvalidBBoxProperty:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32 '%1' \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48\u0E2A\u0E35 \u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E40\u0E15\u0E34\u0E21 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A",ExtraEndMissingBegin:"\u0E21\u0E35 %1 \u0E40\u0E01\u0E34\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\begingroup",GlobalNotFollowedBy:"%1 \u0E44\u0E21\u0E48\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22 \\let, \\def, \u0E2B\u0E23\u0E37\u0E2D \\newcommand",UndefinedColorModel:"\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07\u0E2A\u0E35 '%1' \u0E22\u0E31\u0E07\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E19\u0E34\u0E22\u0E32\u0E21",ModelArg1:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02 3 \u0E15\u0E31\u0E27",InvalidDecimalNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E17\u0E28\u0E19\u0E34\u0E22\u0E21\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",ModelArg2:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 %2 \u0E41\u0E25\u0E30 %3",InvalidNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",NewextarrowArg1:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E41\u0E23\u0E01\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",NewextarrowArg2:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E2D\u0E07\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E2A\u0E2D\u0E07\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E14\u0E49\u0E27\u0E22\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E08\u0E38\u0E25\u0E20\u0E32\u0E04",NewextarrowArg3:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E32\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E2B\u0E31\u0E2A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14",NoClosingChar:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14 %1",IllegalControlSequenceName:"\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C",IllegalParamNumber:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E23\u0E30\u0E1A\u0E38\u0E43\u0E19 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C (\u0E02\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E01\u0E34\u0E19)",MissingCS:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",CantUseHash2:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49 # \u0E0B\u0E36\u0E48\u0E07\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C\u0E43\u0E19\u0E41\u0E21\u0E48\u0E41\u0E1A\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",SequentialParam:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A",MissingReplacementString:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E15\u0E31\u0E27\u0E41\u0E17\u0E19\u0E2A\u0E32\u0E22\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E43\u0E19\u0E19\u0E34\u0E22\u0E32\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MismatchUseDef:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E44\u0E21\u0E48\u0E15\u0E23\u0E07\u0E01\u0E31\u0E1A\u0E19\u0E34\u0E22\u0E32\u0E21\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07",RunawayArgument:"\u0E21\u0E35\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E25\u0E30\u0E40\u0E27\u0E49\u0E19\u0E44\u0E27\u0E49\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1?",NoClosingDelim:"\u0E44\u0E21\u0E48\u0E1E\u0E1A closing delimiter \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/TeX.js"); diff --git a/localization/th/th.js b/localization/th/th.js index 32d1ee10e7..b01744f820 100644 --- a/localization/th/th.js +++ b/localization/th/th.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("th",null,{menuTitle:"\u0E44\u0E17\u0E22",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathError:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",LoadFile:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14 %1",Loading:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14",LoadFailed:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25: %1",ProcessMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Processing:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25",TypesetMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Typesetting:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C",MathJaxNotSupported:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathJax",ErrorTips:"\u0E02\u0E49\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E01\u0E32\u0E23\u0E41\u0E01\u0E49\u0E44\u0E02: \u0E43\u0E0A\u0E49 %%1 \u0E41\u0E25\u0E30\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A %%2 \u0E43\u0E19\u0E04\u0E2D\u0E19\u0E42\u0E0B\u0E25\u0E02\u0E2D\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/th.js"); +MathJax.Localization.addTranslation("th",null,{menuTitle:"\u0E44\u0E17\u0E22",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathError:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",LoadFile:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14 %1",Loading:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14",LoadFailed:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25: %1",ProcessMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Processing:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25",TypesetMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Typesetting:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C",MathJaxNotSupported:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathJax",ErrorTips:"\u0E02\u0E49\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E01\u0E32\u0E23\u0E41\u0E01\u0E49\u0E44\u0E02: \u0E43\u0E0A\u0E49 %%1 \u0E41\u0E25\u0E30\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A %%2 \u0E43\u0E19\u0E04\u0E2D\u0E19\u0E42\u0E0B\u0E25\u0E02\u0E2D\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/th.js"); diff --git a/localization/tr/FontWarnings.js b/localization/tr/FontWarnings.js index dfc12e6f13..0581c6bb3a 100644 --- a/localization/tr/FontWarnings.js +++ b/localization/tr/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/FontWarnings.js"); +MathJax.Localization.addTranslation("tr","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/FontWarnings.js"); diff --git a/localization/tr/HTML-CSS.js b/localization/tr/HTML-CSS.js index 295c2b3278..bd4b5cfea9 100644 --- a/localization/tr/HTML-CSS.js +++ b/localization/tr/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HTML-CSS.js"); +MathJax.Localization.addTranslation("tr","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HTML-CSS.js"); diff --git a/localization/tr/HelpDialog.js b/localization/tr/HelpDialog.js index af66d41fcc..de055d579f 100644 --- a/localization/tr/HelpDialog.js +++ b/localization/tr/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HelpDialog.js"); +MathJax.Localization.addTranslation("tr","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HelpDialog.js"); diff --git a/localization/tr/MathML.js b/localization/tr/MathML.js index c59d8a8f2f..733c484278 100644 --- a/localization/tr/MathML.js +++ b/localization/tr/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr","MathML",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathML.js"); +MathJax.Localization.addTranslation("tr","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathML.js"); diff --git a/localization/tr/MathMenu.js b/localization/tr/MathMenu.js index 405b146c9a..4f0fc48dc2 100644 --- a/localization/tr/MathMenu.js +++ b/localization/tr/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr","MathMenu",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathMenu.js"); +MathJax.Localization.addTranslation("tr","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathMenu.js"); diff --git a/localization/tr/TeX.js b/localization/tr/TeX.js index 12df24eba9..1f1c9b8180 100644 --- a/localization/tr/TeX.js +++ b/localization/tr/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr","TeX",{version:"2.7.5",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/TeX.js"); +MathJax.Localization.addTranslation("tr","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/TeX.js"); diff --git a/localization/tr/tr.js b/localization/tr/tr.js index 3635c06f60..20b275eee8 100644 --- a/localization/tr/tr.js +++ b/localization/tr/tr.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("tr",null,{menuTitle:"T\u00FCrk\u00E7e",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"Matematik i\u015Fleme hatas\u0131",MathError:"Matematik hatas\u0131",LoadFile:"%1 Y\u00FCkleniyor",Loading:"Y\u00FCkleniyor",LoadFailed:"Dosya y\u00FCklenemedi: %1",ProcessMath:"Matematik i\u015Fleme: %%%1",MathJaxNotSupported:"Taray\u0131c\u0131n\u0131z MathJax'i desteklemiyor"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/tr.js"); +MathJax.Localization.addTranslation("tr",null,{menuTitle:"T\u00FCrk\u00E7e",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Matematik i\u015Fleme hatas\u0131",MathError:"Matematik hatas\u0131",LoadFile:"%1 Y\u00FCkleniyor",Loading:"Y\u00FCkleniyor",LoadFailed:"Dosya y\u00FCklenemedi: %1",ProcessMath:"Matematik i\u015Fleme: %%%1",MathJaxNotSupported:"Taray\u0131c\u0131n\u0131z MathJax'i desteklemiyor"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/tr.js"); diff --git a/localization/uk/FontWarnings.js b/localization/uk/FontWarnings.js index 20c2f1281d..8a30c8cc6a 100644 --- a/localization/uk/FontWarnings.js +++ b/localization/uk/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456. \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",imageFonts:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u043B\u0430\u0441\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C, \u0430 \u043D\u0435 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0430\u0431\u043E \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0426\u0435 \u0431\u0443\u0434\u0435 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043F\u043E\u0432\u0456\u043B\u044C\u043D\u0456\u0448\u0435, \u043D\u0456\u0436 \u0437\u0432\u0438\u0447\u0430\u0439\u043D\u043E, \u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043D\u0430\u0434\u0440\u0443\u043A\u0443\u0432\u0430\u0442\u0438 \u043D\u0430 \u043F\u0440\u0438\u043D\u0442\u0435\u0440\u0456 \u0437 \u0432\u0438\u0441\u043E\u043A\u043E\u044E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044E.",noFonts:"MathJax \u043D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0448\u0440\u0438\u0444\u0442, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456, \u0442\u043E\u043C\u0443 \u043D\u0430\u043C \u0434\u043E\u0432\u0435\u043B\u043E\u0441\u044F \u043F\u043E\u0432\u0435\u0440\u043D\u0443\u0442\u0438\u0441\u044F \u043D\u0430 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 Unicode \u0443 \u043D\u0430\u0434\u0456\u0457, \u0449\u043E \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0437\u043C\u043E\u0436\u0435 \u0457\u0445 \u0432\u0456\u0440\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u0438. \u0414\u0435\u044F\u043A\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0456 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0456 \u043F\u043E\u0432\u043D\u0456\u0441\u0442\u044E \u043D\u0435 \u0432 \u0437\u043C\u043E\u0437\u0456 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u0441\u044F.",webFonts:"\u0411\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432 \u0432 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u0438, \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0443\u0432\u0430\u043D\u0456 \u0437 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443. \u041E\u043D\u043E\u0432\u0456\u0442\u044C \u0441\u0432\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0434\u043E \u043E\u0441\u0442\u0430\u043D\u043D\u044C\u043E\u0457 \u0432\u0435\u0440\u0441\u0456\u0457 (\u0430\u0431\u043E \u043F\u0440\u043E\u0441\u0442\u043E \u0437\u0430\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447) \u0434\u043B\u044F \u0442\u043E\u0433\u043E, \u0449\u043E\u0431 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u044F\u043A\u0456\u0441\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u044F\u043A\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u044E\u0442\u044C\u0441\u044F \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0437 [STIX \u0448\u0440\u0438\u0444\u0442\u0456\u0432](%1) \u0430\u0431\u043E [\u0448\u0440\u0438\u0444\u0442\u0456\u0432 MathJax-TeX](%2). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0456 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u043E\u0434\u0438\u043D \u0437 \u0446\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u0456\u0432, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 MathJax \u0440\u043E\u0431\u043E\u0442\u0443.",STIXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [STIX \u0448\u0440\u0438\u0444\u0442\u0438](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 MathJax.",TeXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [\u0448\u0440\u0438\u0444\u0442\u0438 MathJax TeX](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 \u0437 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/FontWarnings.js"); +MathJax.Localization.addTranslation("uk","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456. \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",imageFonts:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u043B\u0430\u0441\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C, \u0430 \u043D\u0435 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0430\u0431\u043E \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0426\u0435 \u0431\u0443\u0434\u0435 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043F\u043E\u0432\u0456\u043B\u044C\u043D\u0456\u0448\u0435, \u043D\u0456\u0436 \u0437\u0432\u0438\u0447\u0430\u0439\u043D\u043E, \u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043D\u0430\u0434\u0440\u0443\u043A\u0443\u0432\u0430\u0442\u0438 \u043D\u0430 \u043F\u0440\u0438\u043D\u0442\u0435\u0440\u0456 \u0437 \u0432\u0438\u0441\u043E\u043A\u043E\u044E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044E.",noFonts:"MathJax \u043D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0448\u0440\u0438\u0444\u0442, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456, \u0442\u043E\u043C\u0443 \u043D\u0430\u043C \u0434\u043E\u0432\u0435\u043B\u043E\u0441\u044F \u043F\u043E\u0432\u0435\u0440\u043D\u0443\u0442\u0438\u0441\u044F \u043D\u0430 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 Unicode \u0443 \u043D\u0430\u0434\u0456\u0457, \u0449\u043E \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0437\u043C\u043E\u0436\u0435 \u0457\u0445 \u0432\u0456\u0440\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u0438. \u0414\u0435\u044F\u043A\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0456 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0456 \u043F\u043E\u0432\u043D\u0456\u0441\u0442\u044E \u043D\u0435 \u0432 \u0437\u043C\u043E\u0437\u0456 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u0441\u044F.",webFonts:"\u0411\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432 \u0432 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u0438, \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0443\u0432\u0430\u043D\u0456 \u0437 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443. \u041E\u043D\u043E\u0432\u0456\u0442\u044C \u0441\u0432\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0434\u043E \u043E\u0441\u0442\u0430\u043D\u043D\u044C\u043E\u0457 \u0432\u0435\u0440\u0441\u0456\u0457 (\u0430\u0431\u043E \u043F\u0440\u043E\u0441\u0442\u043E \u0437\u0430\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447) \u0434\u043B\u044F \u0442\u043E\u0433\u043E, \u0449\u043E\u0431 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u044F\u043A\u0456\u0441\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u044F\u043A\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u044E\u0442\u044C\u0441\u044F \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0437 [STIX \u0448\u0440\u0438\u0444\u0442\u0456\u0432](%1) \u0430\u0431\u043E [\u0448\u0440\u0438\u0444\u0442\u0456\u0432 MathJax-TeX](%2). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0456 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u043E\u0434\u0438\u043D \u0437 \u0446\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u0456\u0432, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 MathJax \u0440\u043E\u0431\u043E\u0442\u0443.",STIXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [STIX \u0448\u0440\u0438\u0444\u0442\u0438](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 MathJax.",TeXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [\u0448\u0440\u0438\u0444\u0442\u0438 MathJax TeX](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 \u0437 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/FontWarnings.js"); diff --git a/localization/uk/HTML-CSS.js b/localization/uk/HTML-CSS.js index f2691ae2d6..d717398084 100644 --- a/localization/uk/HTML-CSS.js +++ b/localization/uk/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",CantLoadWebFont:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437 \u0432\u0456\u0434\u0434\u0430\u043B\u0435\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0443",CantFindFontUsing:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442 \u0437\u0430 \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u043E\u044E %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456. \u0421\u043B\u0456\u0434 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u0438 -\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HTML-CSS.js"); +MathJax.Localization.addTranslation("uk","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",CantLoadWebFont:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437 \u0432\u0456\u0434\u0434\u0430\u043B\u0435\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0443",CantFindFontUsing:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442 \u0437\u0430 \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u043E\u044E %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456. \u0421\u043B\u0456\u0434 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u0438 -\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HTML-CSS.js"); diff --git a/localization/uk/HelpDialog.js b/localization/uk/HelpDialog.js index 8def3f5777..23b88fd1c3 100644 --- a/localization/uk/HelpDialog.js +++ b/localization/uk/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",MathJax:"*MathJax* - \u0446\u0435 \u0431\u0456\u0431\u043B\u0456\u043E\u0442\u0435\u043A\u0430 \u043D\u0430 JavaScript, \u044F\u043A\u0430 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0430\u0432\u0442\u043E\u0440\u0430\u043C \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0438 \u0432\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0432\u0441\u0456\u0445 \u0441\u0432\u043E\u0457\u0445 \u0432\u0435\u0431-\u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430\u0445. \u042F\u043A \u0447\u0438\u0442\u0430\u0447, \u0432\u0430\u043C \u043D\u0435 \u043F\u043E\u0442\u0440\u0456\u0431\u043D\u043E \u043D\u0456\u0447\u043E\u0433\u043E \u0440\u043E\u0431\u0438\u0442\u0438, \u0449\u043E\u0431 \u0446\u0435 \u0432\u0456\u0434\u0431\u0443\u043B\u043E\u0441\u044F.",Browsers:"*\u041F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456*: MathJax \u043F\u0440\u0430\u0446\u044E\u0454 \u0437 \u0443\u0441\u0456\u043C\u0430 \u0441\u0443\u0447\u0430\u0441\u043D\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044E\u0447\u0438 Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0456 \u0431\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043C\u043E\u0431\u0456\u043B\u044C\u043D\u0438\u0445 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u043C\u0435\u043D\u044E*: MathJax \u0434\u043E\u0434\u0430\u0454 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0434\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u044C. \u041A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043F\u0440\u0430\u0432\u043E\u044E \u043A\u043D\u043E\u043F\u043A\u043E\u044E \u043C\u0438\u0448\u0456 \u0430\u0431\u043E CTRL+\u043A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043B\u0456\u0432\u043E\u044E \u043D\u0430 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u043C\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0432\u0438\u0440\u0430\u0437\u0456 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u0454 \u0434\u043E\u0441\u0442\u0443\u043F \u0434\u043E \u0446\u044C\u043E\u0433\u043E \u043C\u0435\u043D\u044E.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u043D\u0443\u0442\u0438 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u0438 \u0434\u043B\u044F \u043A\u043E\u043F\u0456\u044E\u0432\u0430\u043D\u043D\u044F \u0442\u0430 \u0432\u0441\u0442\u0430\u0432\u043A\u0438 (\u044F\u043A MathML \u0430\u0431\u043E \u0443 \u0457\u0457 \u0432\u043B\u0430\u0441\u043D\u043E\u043C\u0443 \u0444\u043E\u0440\u043C\u0430\u0442\u0456).",Settings:"*\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F* \u0434\u0430\u044E\u0442\u044C \u0432\u0430\u043C \u043F\u043E\u0432\u043D\u0438\u0439 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044C \u043D\u0430\u0434 \u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438 MathJax \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u0440\u043E\u0437\u043C\u0456\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0432\u0438\u0440\u0430\u0437\u0456\u0432 \u0456 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C, \u044F\u043A\u0438\u0439 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u0440\u0456\u0432\u043D\u044F\u043D\u044C.",Language:"*\u041C\u043E\u0432\u0430* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u0432\u0438\u0431\u0440\u0430\u0442\u0438 \u043C\u043E\u0432\u0443 \u0434\u043B\u044F \u043C\u0435\u043D\u044E \u0442\u0430 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u0436\u0435\u043D\u044C MathJax.",Zoom:"*\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438*: \u044F\u043A\u0449\u043E \u0443 \u0432\u0430\u0441 \u0432\u0438\u043D\u0438\u043A\u043B\u0438 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u043F\u0440\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F, MathJax \u043C\u043E\u0436\u0435 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0457\u0445, \u0449\u043E\u0431 \u0432\u0438 \u043C\u043E\u0433\u043B\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0438 \u0457\u0445 \u043A\u0440\u0430\u0449\u0435.",Accessibilty:"*\u0414\u043E\u0441\u0442\u0443\u043F\u043D\u0456\u0441\u0442\u044C*: MathJax \u0431\u0443\u0434\u0435 \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E \u043F\u0440\u0430\u0446\u044E\u0432\u0430\u0442\u0438 \u0437 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u0430\u043C\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u044F \u0435\u043A\u0440\u0430\u043D\u0443, \u0430\u0431\u0438 \u0437\u0440\u043E\u0431\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E\u044E \u0434\u043B\u044F \u043D\u0435\u0437\u0440\u044F\u0447\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u0438*: MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0441\u043F\u0435\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u043D\u0430 \u0432\u0430\u0448\u043E\u043C\u0443 \u043A\u043E\u043C\u043F'\u044E\u0442\u0435\u0440\u0456. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0425\u043E\u0447\u0430 \u0446\u0435 \u0456 \u043D\u0435 \u0454 \u043E\u0431\u043E\u0432'\u044F\u0437\u043A\u043E\u0432\u0438\u043C, \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u043F\u0440\u0438\u0441\u043A\u043E\u0440\u044F\u0442\u044C \u0432\u0435\u0440\u0441\u0442\u043A\u0443. \u041C\u0438 \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0454\u043C\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 [STIX-\u0448\u0440\u0438\u0444\u0442\u0438](%1).",CloseDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u0434\u043E\u0432\u0456\u0434\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HelpDialog.js"); +MathJax.Localization.addTranslation("uk","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",MathJax:"*MathJax* - \u0446\u0435 \u0431\u0456\u0431\u043B\u0456\u043E\u0442\u0435\u043A\u0430 \u043D\u0430 JavaScript, \u044F\u043A\u0430 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0430\u0432\u0442\u043E\u0440\u0430\u043C \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0438 \u0432\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0432\u0441\u0456\u0445 \u0441\u0432\u043E\u0457\u0445 \u0432\u0435\u0431-\u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430\u0445. \u042F\u043A \u0447\u0438\u0442\u0430\u0447, \u0432\u0430\u043C \u043D\u0435 \u043F\u043E\u0442\u0440\u0456\u0431\u043D\u043E \u043D\u0456\u0447\u043E\u0433\u043E \u0440\u043E\u0431\u0438\u0442\u0438, \u0449\u043E\u0431 \u0446\u0435 \u0432\u0456\u0434\u0431\u0443\u043B\u043E\u0441\u044F.",Browsers:"*\u041F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456*: MathJax \u043F\u0440\u0430\u0446\u044E\u0454 \u0437 \u0443\u0441\u0456\u043C\u0430 \u0441\u0443\u0447\u0430\u0441\u043D\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044E\u0447\u0438 Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0456 \u0431\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043C\u043E\u0431\u0456\u043B\u044C\u043D\u0438\u0445 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u043C\u0435\u043D\u044E*: MathJax \u0434\u043E\u0434\u0430\u0454 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0434\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u044C. \u041A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043F\u0440\u0430\u0432\u043E\u044E \u043A\u043D\u043E\u043F\u043A\u043E\u044E \u043C\u0438\u0448\u0456 \u0430\u0431\u043E CTRL+\u043A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043B\u0456\u0432\u043E\u044E \u043D\u0430 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u043C\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0432\u0438\u0440\u0430\u0437\u0456 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u0454 \u0434\u043E\u0441\u0442\u0443\u043F \u0434\u043E \u0446\u044C\u043E\u0433\u043E \u043C\u0435\u043D\u044E.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u043D\u0443\u0442\u0438 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u0438 \u0434\u043B\u044F \u043A\u043E\u043F\u0456\u044E\u0432\u0430\u043D\u043D\u044F \u0442\u0430 \u0432\u0441\u0442\u0430\u0432\u043A\u0438 (\u044F\u043A MathML \u0430\u0431\u043E \u0443 \u0457\u0457 \u0432\u043B\u0430\u0441\u043D\u043E\u043C\u0443 \u0444\u043E\u0440\u043C\u0430\u0442\u0456).",Settings:"*\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F* \u0434\u0430\u044E\u0442\u044C \u0432\u0430\u043C \u043F\u043E\u0432\u043D\u0438\u0439 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044C \u043D\u0430\u0434 \u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438 MathJax \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u0440\u043E\u0437\u043C\u0456\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0432\u0438\u0440\u0430\u0437\u0456\u0432 \u0456 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C, \u044F\u043A\u0438\u0439 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u0440\u0456\u0432\u043D\u044F\u043D\u044C.",Language:"*\u041C\u043E\u0432\u0430* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u0432\u0438\u0431\u0440\u0430\u0442\u0438 \u043C\u043E\u0432\u0443 \u0434\u043B\u044F \u043C\u0435\u043D\u044E \u0442\u0430 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u0436\u0435\u043D\u044C MathJax.",Zoom:"*\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438*: \u044F\u043A\u0449\u043E \u0443 \u0432\u0430\u0441 \u0432\u0438\u043D\u0438\u043A\u043B\u0438 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u043F\u0440\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F, MathJax \u043C\u043E\u0436\u0435 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0457\u0445, \u0449\u043E\u0431 \u0432\u0438 \u043C\u043E\u0433\u043B\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0438 \u0457\u0445 \u043A\u0440\u0430\u0449\u0435.",Accessibilty:"*\u0414\u043E\u0441\u0442\u0443\u043F\u043D\u0456\u0441\u0442\u044C*: MathJax \u0431\u0443\u0434\u0435 \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E \u043F\u0440\u0430\u0446\u044E\u0432\u0430\u0442\u0438 \u0437 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u0430\u043C\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u044F \u0435\u043A\u0440\u0430\u043D\u0443, \u0430\u0431\u0438 \u0437\u0440\u043E\u0431\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E\u044E \u0434\u043B\u044F \u043D\u0435\u0437\u0440\u044F\u0447\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u0438*: MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0441\u043F\u0435\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u043D\u0430 \u0432\u0430\u0448\u043E\u043C\u0443 \u043A\u043E\u043C\u043F'\u044E\u0442\u0435\u0440\u0456. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0425\u043E\u0447\u0430 \u0446\u0435 \u0456 \u043D\u0435 \u0454 \u043E\u0431\u043E\u0432'\u044F\u0437\u043A\u043E\u0432\u0438\u043C, \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u043F\u0440\u0438\u0441\u043A\u043E\u0440\u044F\u0442\u044C \u0432\u0435\u0440\u0441\u0442\u043A\u0443. \u041C\u0438 \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0454\u043C\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 [STIX-\u0448\u0440\u0438\u0444\u0442\u0438](%1).",CloseDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u0434\u043E\u0432\u0456\u0434\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HelpDialog.js"); diff --git a/localization/uk/MathML.js b/localization/uk/MathML.js index 28749f75fb..b1b9be2a3b 100644 --- a/localization/uk/MathML.js +++ b/localization/uk/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",BadMglyphFont:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442:%1",MathPlayer:'MathJax \u0431\u0443\u0432 \u043D\u0435 \u0443 \u0437\u043C\u043E\u0437\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u0442\u0438 MathPlayer.\n\n\u042F\u043A\u0449\u043E MathPlayer \u043D\u0435 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u043E\u200B\u200B, \u043D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 \u0439\u043E\u0433\u043E. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443, \u0432\u0430\u0448\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0431\u0435\u0437\u043F\u0435\u043A\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u043B\u043E\u043A\u0443\u0432\u0430\u0442\u0438 \u0443\u043F\u0440\u0430\u0432\u043B\u0456\u043D\u043D\u044F ActiveX \u043F\u0440\u0438 \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0443 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u0430 \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0434\u043B\u044F "\u0417\u0430\u043F\u0443\u0441\u043A \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432 ActiveX" \u0456 "\u0414\u0432\u0456\u0439\u043A\u043E\u0432\u0456 \u043A\u043E\u0434\u0438 \u0456 \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457 \u043F\u043E\u0432\u0435\u0434\u0456\u043D\u043A\u0438"\n\u0432\u043A\u043B\u044E\u0447\u0435\u043D\u0456.\n\n\u0412 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0432\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0435 \u043F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443, \u0430 \u043D\u0435\n\u043D\u0430\u0431\u0440\u0430\u043D\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443.',CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0441\u0442\u0432\u043E\u0440\u0438\u0442\u0438 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0447\u043D\u0438\u0439 \u0430\u043D\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440 XML \u0434\u043B\u044F MathML. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u201E\u0421\u0446\u0435\u043D\u0430\u0440\u0456\u0457 ActiveX \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0456 \u044F\u043A \u0431\u0435\u0437\u043F\u0435\u0447\u043D\u0456 \u0434\u043B\u044F \u0432\u0438\u043A\u043E\u043D\u0430\u043D\u043D\u044F \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457\u0432 \u0431\u0435\u0437\u043F\u0435\u043A\u0438\u201C\n \u0443\u0432\u0456\u043C\u043A\u043D\u0435\u043D\u0438\u0439 (\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0432 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u043F\u0430\u043D\u0435\u043B\u044C \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C, \u0449\u043E\u0431 \u0432\u0456\u0434\u043C\u0456\u0442\u0438\u0442\u0438 \u0446\u0435).\n\nMathML \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u043D\u0435 \u0437\u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u043E\u0431\u0440\u043E\u0431\u043B\u0435\u043D\u0456 MathJax.",UnknownNodeType:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0439 \u0442\u0438\u043F \u0432\u0443\u0437\u043B\u0430: %1",UnexpectedTextNode:"\u041D\u0435\u043F\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043D\u0438\u0439 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u0438\u0439 \u0432\u0443\u0437\u043E\u043B: %1",ErrorParsingMathML:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML",ParsingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML: %1",MathMLSingleElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u043E\u0434\u043D\u0438\u043C \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C",MathMLRootElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u003Cmath\u003E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathML.js"); +MathJax.Localization.addTranslation("uk","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",BadMglyphFont:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442:%1",MathPlayer:'MathJax \u0431\u0443\u0432 \u043D\u0435 \u0443 \u0437\u043C\u043E\u0437\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u0442\u0438 MathPlayer.\n\n\u042F\u043A\u0449\u043E MathPlayer \u043D\u0435 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u043E\u200B\u200B, \u043D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 \u0439\u043E\u0433\u043E. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443, \u0432\u0430\u0448\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0431\u0435\u0437\u043F\u0435\u043A\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u043B\u043E\u043A\u0443\u0432\u0430\u0442\u0438 \u0443\u043F\u0440\u0430\u0432\u043B\u0456\u043D\u043D\u044F ActiveX \u043F\u0440\u0438 \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0443 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u0430 \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0434\u043B\u044F "\u0417\u0430\u043F\u0443\u0441\u043A \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432 ActiveX" \u0456 "\u0414\u0432\u0456\u0439\u043A\u043E\u0432\u0456 \u043A\u043E\u0434\u0438 \u0456 \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457 \u043F\u043E\u0432\u0435\u0434\u0456\u043D\u043A\u0438"\n\u0432\u043A\u043B\u044E\u0447\u0435\u043D\u0456.\n\n\u0412 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0432\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0435 \u043F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443, \u0430 \u043D\u0435\n\u043D\u0430\u0431\u0440\u0430\u043D\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443.',CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0441\u0442\u0432\u043E\u0440\u0438\u0442\u0438 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0447\u043D\u0438\u0439 \u0430\u043D\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440 XML \u0434\u043B\u044F MathML. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u201E\u0421\u0446\u0435\u043D\u0430\u0440\u0456\u0457 ActiveX \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0456 \u044F\u043A \u0431\u0435\u0437\u043F\u0435\u0447\u043D\u0456 \u0434\u043B\u044F \u0432\u0438\u043A\u043E\u043D\u0430\u043D\u043D\u044F \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457\u0432 \u0431\u0435\u0437\u043F\u0435\u043A\u0438\u201C\n \u0443\u0432\u0456\u043C\u043A\u043D\u0435\u043D\u0438\u0439 (\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0432 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u043F\u0430\u043D\u0435\u043B\u044C \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C, \u0449\u043E\u0431 \u0432\u0456\u0434\u043C\u0456\u0442\u0438\u0442\u0438 \u0446\u0435).\n\nMathML \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u043D\u0435 \u0437\u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u043E\u0431\u0440\u043E\u0431\u043B\u0435\u043D\u0456 MathJax.",UnknownNodeType:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0439 \u0442\u0438\u043F \u0432\u0443\u0437\u043B\u0430: %1",UnexpectedTextNode:"\u041D\u0435\u043F\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043D\u0438\u0439 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u0438\u0439 \u0432\u0443\u0437\u043E\u043B: %1",ErrorParsingMathML:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML",ParsingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML: %1",MathMLSingleElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u043E\u0434\u043D\u0438\u043C \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C",MathMLRootElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u003Cmath\u003E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathML.js"); diff --git a/localization/uk/MathMenu.js b/localization/uk/MathMenu.js index 0aa77428ff..2876d1dd81 100644 --- a/localization/uk/MathMenu.js +++ b/localization/uk/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u0438 TeX",AsciiMathInput:"\u0412\u0432\u0456\u0434 AsciiMathML",Original:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",ErrorMessage:"\u041F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0456\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0417\u043C\u0456\u0441\u0442 MathML",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043F\u043E\u0440\u0430\u0434\u0438 TeX \u0432 MathML",Settings:"\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",ZoomTrigger:"\u041F\u0443\u0441\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443",Hover:"\u041F\u0456\u0434\u043D\u0435\u0441\u0435\u043D\u043D\u044F \u043A\u0443\u0440\u0441\u043E\u0440\u0430",Click:"\u041A\u043B\u0456\u043A",DoubleClick:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043A\u043B\u0456\u043A",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",TriggerRequires:"\u041D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u0456 \u043A\u043B\u044E\u0447\u0456:",Option:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440",Alt:"Alt",Command:"\u041A\u043E\u043C\u0430\u043D\u0434\u0430",Control:"\u041A\u0435\u0440\u0443\u0432\u0430\u043D\u043D\u044F",Shift:"Shift",ZoomFactor:"\u041C\u043D\u043E\u0436\u043D\u0438\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",Renderer:"\u0412\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0446\u0456\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MPHandles:"MathPlayer \u043E\u043F\u0440\u0430\u0446\u044C\u043E\u0432\u0443\u0454:",MenuEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E",MouseEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0438\u0448\u043A\u0438",MenuAndMouse:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E \u0456 \u043C\u0438\u0448\u043A\u0438",FontPrefs:"\u0423\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0448\u0442\u0440\u0438\u0444\u0442\u0443",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",TeXWeb:"TeX (\u0432\u0435\u0431)",TeXImage:"TeX (\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",STIXWeb:"STIX (\u0432\u0435\u0431)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E",Browser:"\u041E\u0433\u043B\u044F\u0434",Scale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0443\u0441\u044E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443\u2026",Discoverable:"\u041F\u0456\u0434\u0441\u0432\u0456\u0442\u043A\u0430 \u043F\u0440\u0438 \u043D\u0430\u0432\u0435\u0434\u0435\u043D\u043D\u0456",Locale:"\u041C\u043E\u0432\u0430",LoadLocale:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0437 URL...",About:"\u041F\u0440\u043E MathJax",Help:"\u0414\u043E\u043F\u043E\u043C\u043E\u0433\u0430 MathJax",localTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 TeX",webTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 TeX",imagefonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C",localSTIXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 STIX-\u0448\u0440\u0438\u0444\u0442\u0438",webSVGfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 SVG \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438",genericfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u0437\u0433\u0435\u043D\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438",wofforotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 woff \u0430\u0431\u043E otf",eotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 eot",svgfonts:"\u0448\u0440\u0438\u0444\u0442\u0438 svg",WebkitNativeMMLWarning:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathML, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u0434\u043E MathML \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",MSIENativeMMLWarning:"\u0412\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 Internet Explorer \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043C\u043E\u0434\u0443\u043B\u044C MathPlayer \u0434\u043B\u044F \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u0432\u0438\u0432\u043E\u0434\u0443 MathML.",OperaNativeMMLWarning:"\u041E\u0431\u043C\u0435\u0436\u0435\u043D\u0430 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u043A\u0430 MathML \u0432 Opera, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u043D\u0430 MathML \u043C\u043E\u0436\u0443\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0430\u0442\u0438, \u0449\u043E \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043F\u043E\u0433\u0430\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u043C\u0443\u0442\u044C\u0441\u044F.",SafariNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",FirefoxNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",MSIESVGWarning:"SVG \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0443 \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456 Internet Explorer \u0432\u0435\u0440\u0441\u0456\u0457 9 \u0430\u0431\u043E \u0435\u043C\u0443\u043B\u044E\u0454\u0442\u044C\u0441\u044F \u0432 IE8 \u0430\u0431\u043E \u043D\u0438\u0436\u0447\u0435, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u043D\u0430 \u0432\u0438\u0432\u0456\u0434 SVG \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u0446\u044E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0443 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",LoadURL:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443 \u0437 \u0446\u044C\u043E\u0433\u043E URL:",BadURL:'URL-\u0430\u0434\u0440\u0435\u0441\u0430 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u043B\u044F JavaScript \u0444\u0430\u0439\u043B\u0443, \u044F\u043A\u0438\u0439 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454 MathJax \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443. \u0406\u043C\'\u044F \u0444\u0430\u0439\u043B\u0443 JavaScript \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0437\u0430\u043A\u0456\u043D\u0447\u0443\u0432\u0430\u0442\u0438\u0441\u044F \u043D\u0430 ".js"',BadData:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0438 \u0437 %1",SwitchAnyway:"\u0417\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440?\n\n(\u0412\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0413\u0430\u0440\u0430\u0437\u0434, \u0449\u043E\u0431 \u0437\u043C\u0456\u043D\u0438\u0442\u0438, \u0430\u0431\u043E \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u0434\u043B\u044F \u043F\u0440\u043E\u0434\u043E\u0432\u0436\u0435\u043D\u043D\u044F \u043F\u043E\u0442\u043E\u0447\u043D\u043E\u0433\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440\u0430)",ScaleMath:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0432\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 (\u0443 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0456 \u0437 \u043E\u0442\u043E\u0447\u0443\u044E\u0447\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C)",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u043D\u0443\u043B\u0435\u043C",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0443 \u0432\u0456\u0434\u0441\u043E\u0442\u043A\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, 120%%)",IE8warning:"\u0426\u0435 \u0432\u0438\u043C\u0438\u043A\u0430\u0454 MathJax \u043C\u0435\u043D\u044E \u0442\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u0443\u0442\u0440\u0438\u043C\u0443\u0432\u0430\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u043D\u0430 \u0432\u0438\u0440\u0430\u0437\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u043D\u0430\u0442\u043E\u043C\u0456\u0441\u0442\u044C \u043C\u0435\u043D\u044E MathJax.\n\n\u0414\u0456\u0439\u0441\u043D\u043E \u0437\u043C\u0456\u043D\u0438\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F MathPlayer?",IE9warning:"MathJax \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0432\u0456\u0434\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u044F MathJax \u043C\u0435\u043D\u044E.",NoOriginalForm:"\u041D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0430 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",Close:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438",EqSource:"\u0414\u0436\u0435\u0440\u0435\u043B\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F MathJax",CloseAboutDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u043F\u0440\u043E MathJax",FastPreview:"\u0428\u0432\u0438\u0434\u043A\u0438\u0439 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u043D\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434",AssistiveMML:"\u0414\u043E\u043F\u043E\u043C\u0456\u0436\u043D\u0438\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u0432 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u0432\u043A\u043B\u0430\u0434\u043E\u043A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathMenu.js"); +MathJax.Localization.addTranslation("uk","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u0438 TeX",AsciiMathInput:"\u0412\u0432\u0456\u0434 AsciiMathML",Original:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",ErrorMessage:"\u041F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0456\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0417\u043C\u0456\u0441\u0442 MathML",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043F\u043E\u0440\u0430\u0434\u0438 TeX \u0432 MathML",Settings:"\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",ZoomTrigger:"\u041F\u0443\u0441\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443",Hover:"\u041F\u0456\u0434\u043D\u0435\u0441\u0435\u043D\u043D\u044F \u043A\u0443\u0440\u0441\u043E\u0440\u0430",Click:"\u041A\u043B\u0456\u043A",DoubleClick:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043A\u043B\u0456\u043A",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",TriggerRequires:"\u041D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u0456 \u043A\u043B\u044E\u0447\u0456:",Option:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440",Alt:"Alt",Command:"\u041A\u043E\u043C\u0430\u043D\u0434\u0430",Control:"\u041A\u0435\u0440\u0443\u0432\u0430\u043D\u043D\u044F",Shift:"Shift",ZoomFactor:"\u041C\u043D\u043E\u0436\u043D\u0438\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",Renderer:"\u0412\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0446\u0456\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MPHandles:"MathPlayer \u043E\u043F\u0440\u0430\u0446\u044C\u043E\u0432\u0443\u0454:",MenuEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E",MouseEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0438\u0448\u043A\u0438",MenuAndMouse:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E \u0456 \u043C\u0438\u0448\u043A\u0438",FontPrefs:"\u0423\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0448\u0442\u0440\u0438\u0444\u0442\u0443",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",TeXWeb:"TeX (\u0432\u0435\u0431)",TeXImage:"TeX (\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",STIXWeb:"STIX (\u0432\u0435\u0431)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E",Browser:"\u041E\u0433\u043B\u044F\u0434",Scale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0443\u0441\u044E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443\u2026",Discoverable:"\u041F\u0456\u0434\u0441\u0432\u0456\u0442\u043A\u0430 \u043F\u0440\u0438 \u043D\u0430\u0432\u0435\u0434\u0435\u043D\u043D\u0456",Locale:"\u041C\u043E\u0432\u0430",LoadLocale:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0437 URL...",About:"\u041F\u0440\u043E MathJax",Help:"\u0414\u043E\u043F\u043E\u043C\u043E\u0433\u0430 MathJax",localTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 TeX",webTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 TeX",imagefonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C",localSTIXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 STIX-\u0448\u0440\u0438\u0444\u0442\u0438",webSVGfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 SVG \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438",genericfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u0437\u0433\u0435\u043D\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438",wofforotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 woff \u0430\u0431\u043E otf",eotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 eot",svgfonts:"\u0448\u0440\u0438\u0444\u0442\u0438 svg",WebkitNativeMMLWarning:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathML, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u0434\u043E MathML \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",MSIENativeMMLWarning:"\u0412\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 Internet Explorer \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043C\u043E\u0434\u0443\u043B\u044C MathPlayer \u0434\u043B\u044F \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u0432\u0438\u0432\u043E\u0434\u0443 MathML.",OperaNativeMMLWarning:"\u041E\u0431\u043C\u0435\u0436\u0435\u043D\u0430 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u043A\u0430 MathML \u0432 Opera, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u043D\u0430 MathML \u043C\u043E\u0436\u0443\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0430\u0442\u0438, \u0449\u043E \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043F\u043E\u0433\u0430\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u043C\u0443\u0442\u044C\u0441\u044F.",SafariNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",FirefoxNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",MSIESVGWarning:"SVG \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0443 \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456 Internet Explorer \u0432\u0435\u0440\u0441\u0456\u0457 9 \u0430\u0431\u043E \u0435\u043C\u0443\u043B\u044E\u0454\u0442\u044C\u0441\u044F \u0432 IE8 \u0430\u0431\u043E \u043D\u0438\u0436\u0447\u0435, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u043D\u0430 \u0432\u0438\u0432\u0456\u0434 SVG \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u0446\u044E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0443 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",LoadURL:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443 \u0437 \u0446\u044C\u043E\u0433\u043E URL:",BadURL:'URL-\u0430\u0434\u0440\u0435\u0441\u0430 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u043B\u044F JavaScript \u0444\u0430\u0439\u043B\u0443, \u044F\u043A\u0438\u0439 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454 MathJax \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443. \u0406\u043C\'\u044F \u0444\u0430\u0439\u043B\u0443 JavaScript \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0437\u0430\u043A\u0456\u043D\u0447\u0443\u0432\u0430\u0442\u0438\u0441\u044F \u043D\u0430 ".js"',BadData:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0438 \u0437 %1",SwitchAnyway:"\u0417\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440?\n\n(\u0412\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0413\u0430\u0440\u0430\u0437\u0434, \u0449\u043E\u0431 \u0437\u043C\u0456\u043D\u0438\u0442\u0438, \u0430\u0431\u043E \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u0434\u043B\u044F \u043F\u0440\u043E\u0434\u043E\u0432\u0436\u0435\u043D\u043D\u044F \u043F\u043E\u0442\u043E\u0447\u043D\u043E\u0433\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440\u0430)",ScaleMath:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0432\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 (\u0443 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0456 \u0437 \u043E\u0442\u043E\u0447\u0443\u044E\u0447\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C)",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u043D\u0443\u043B\u0435\u043C",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0443 \u0432\u0456\u0434\u0441\u043E\u0442\u043A\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, 120%%)",IE8warning:"\u0426\u0435 \u0432\u0438\u043C\u0438\u043A\u0430\u0454 MathJax \u043C\u0435\u043D\u044E \u0442\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u0443\u0442\u0440\u0438\u043C\u0443\u0432\u0430\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u043D\u0430 \u0432\u0438\u0440\u0430\u0437\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u043D\u0430\u0442\u043E\u043C\u0456\u0441\u0442\u044C \u043C\u0435\u043D\u044E MathJax.\n\n\u0414\u0456\u0439\u0441\u043D\u043E \u0437\u043C\u0456\u043D\u0438\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F MathPlayer?",IE9warning:"MathJax \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0432\u0456\u0434\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u044F MathJax \u043C\u0435\u043D\u044E.",NoOriginalForm:"\u041D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0430 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",Close:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438",EqSource:"\u0414\u0436\u0435\u0440\u0435\u043B\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F MathJax",CloseAboutDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u043F\u0440\u043E MathJax",FastPreview:"\u0428\u0432\u0438\u0434\u043A\u0438\u0439 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u043D\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434",AssistiveMML:"\u0414\u043E\u043F\u043E\u043C\u0456\u0436\u043D\u0438\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u0432 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u0432\u043A\u043B\u0430\u0434\u043E\u043A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathMenu.js"); diff --git a/localization/uk/TeX.js b/localization/uk/TeX.js index 9b647ebd6c..82965478df 100644 --- a/localization/uk/TeX.js +++ b/localization/uk/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",ExtraCloseMissingOpen:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",MissingLeftExtraRight:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\left \u0430\u0431\u043E \u0437\u0430\u0439\u0432\u0438\u0439 \\right",MissingScript:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0438 \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456 \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0456\u0432",ExtraLeftMissingRight:"\u0417\u0430\u0439\u0432\u0438\u0439 \\left \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\right",Misplaced:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 %1",MissingOpenForSub:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",MissingOpenForSup:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0456\u043D\u0447\u0438\u0432\u0441\u044F \\end{%2}",EnvMissingEnd:"\u0411\u0440\u0430\u043A\u0443\u0454 \\end{%1}",MissingBoxFor:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0454 \u043F\u043E\u043B\u0435 \u0434\u043B\u044F %1",MissingCloseBrace:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u043E\u043C\u0430\u043D\u0434\u0430 %1",DoubleExponent:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",DoubleSubscripts:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043D\u0438\u0436\u043D\u0456\u0439 \u0456\u043D\u0434\u0435\u043A\u0441: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0443\u0442\u043E\u0447\u0435\u043D\u043D\u044F",DoubleExponentPrime:"\u0417\u043D\u0430\u043A \u0448\u0442\u0440\u0438\u0445\u0430 \u0441\u043F\u0440\u0438\u0447\u0438\u043D\u0438\u0432 \u043F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0443 # \u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0440\u0435\u0436\u0438\u043C\u0456",MisplacedMiddle:"%1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0432 \u043C\u0435\u0436\u0430\u0445 \\left \u0456 \\right",MisplacedLimits:"%1 \u0434\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0442\u0456\u043B\u044C\u043A\u0438 \u043D\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u0445",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0437'\u044F\u0432\u0438\u0442\u0438\u0441\u044F \u043B\u0438\u0448\u0435 \u043F\u0456\u0434 \u043A\u043E\u0440\u0435\u043D\u0435\u043C",MultipleCommand:"\u041A\u0456\u043B\u044C\u043A\u0430 %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1 \u043D\u0435 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C \u043C\u0430\u0440\u043A\u0435\u0440\u0430",InvalidMathMLAttr:"\u041D\u0435\u043F\u0440\u0438\u043F\u0443\u0441\u0442\u0438\u043C\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1 \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0434\u043B\u044F %2",MaxMacroSub1:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0456\u0432 \u043C\u0430\u043A\u0440\u043E\u0441\u0456\u0432; \u0430\u0431\u043E \u0432\u0456\u0434\u0431\u0443\u0432\u0430\u0454\u0442\u044C\u0441\u044F \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",MaxMacroSub2:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u043F\u0456\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax; \u041C\u043E\u0436\u043B\u0438\u0432\u043E, \u0440\u0435\u043A\u0443\u0440\u0441\u0456\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 LaTeX?",MissingArgFor:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0417\u0430\u0439\u0432\u0438\u0439 \u0442\u0430\u0431\u0443\u043B\u044F\u0442\u043E\u0440 \u0442\u0435\u043A\u0441\u0442\u0443 \u0443 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0443 \u0434\u0443\u0436\u043A\u0430\u0445 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0440\u043E\u0437\u043C\u0456\u0440\u043E\u043C",InvalidEnv:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0430 '%1'",UnknownEnv:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 '%1'",ExtraCloseLooking:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430 \u0432\u0438\u043D\u0438\u043A\u043B\u0430 \u043F\u0456\u0434 \u0447\u0430\u0441 \u043F\u043E\u0448\u0443\u043A\u0443 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0443 ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0443 \u0434\u043E %1",MissingOrUnrecognizedDelim:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0430\u0431\u043E \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A \u0434\u043B\u044F %1",MissingDimOrUnits:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0439\u043E\u0433\u043E \u043E\u0434\u0438\u043D\u0438\u0446\u0456 \u0434\u043B\u044F %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u043E\u043C\u0443 \u043F\u043E\u043B\u0456",IllegalMacroParam:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u043F\u043E\u0441\u0438\u043B\u0430\u043D\u043D\u044F \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0443",MaxBufferSize:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u0440\u043E\u0437\u043C\u0456\u0440 \u0432\u043D\u0443\u0442\u0440\u0456\u0448\u043D\u044C\u043E\u0433\u043E \u0431\u0443\u0444\u0435\u0440\u0430 MathJax; \u0442\u0430\u043C \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0434\u043E\u043F\u0443\u0441\u043A\u0430\u0454\u0442\u044C\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %2",MultipleLabel:"\u041C\u0456\u0442\u043A\u0430 '%1' \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0430 \u0440\u0430\u0437\u0456\u0432",CommandAtTheBeginingOfLine:"%1 \u043C\u0430\u0454 \u0437\u043D\u0430\u0445\u043E\u0434\u0438\u0442\u0438\u0441\u044F \u043D\u0430 \u043F\u043E\u0447\u0430\u0442\u043A\u0443 \u0440\u044F\u0434\u043A\u0430",IllegalAlign:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u0440\u0456\u0432\u043D\u044E\u0432\u0430\u043D\u043D\u044F \u0432\u043A\u0430\u0437\u0430\u043D\u0435 \u0443 %1",BadMathStyleFor:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0441 \u0434\u043B\u044F %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0434\u043E\u0434\u0430\u0442\u043D\u0438\u043C \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041F\u043E\u043C\u0438\u043B\u043A\u043E\u0432\u0456 \u0432\u043A\u043B\u0430\u0434\u0435\u043D\u043E\u0441\u0442\u0456 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F",MultlineRowsOneCol:"\u0420\u044F\u0434\u043A\u0438 \u0443 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %1 \u043C\u0443\u0441\u044F\u0442\u044C \u043C\u0430\u0442\u0438 \u043B\u0438\u0448\u0435 \u043E\u0434\u0438\u043D \u0441\u0442\u043E\u0432\u043F\u0435\u0446\u044C",MultipleBBoxProperty:"%1 \u0432\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0456\u0447\u0456 \u0432 %2",InvalidBBoxProperty:"'%1' \u0437\u043E\u0432\u0441\u0456\u043C \u043D\u0435 \u0441\u0445\u043E\u0436\u0438\u0439 \u043D\u0430 \u043A\u043E\u043B\u0456\u0440, \u0434\u043E\u0434\u0430\u0442\u043A\u043E\u0432\u0438\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u0417\u0430\u0439\u0432\u0430 %1 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0441\u043B\u0456\u0434\u0443\u0454 \u043F\u0456\u0441\u043B\u044F \\let, \\def \u0430\u0431\u043E \\newcommand",UndefinedColorModel:"\u041A\u043E\u043B\u0456\u0440\u043D\u0430 \u043C\u043E\u0434\u0435\u043B\u044C '%1' \u043D\u0435 \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430",ModelArg1:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u0432\u0438\u043C\u0430\u0433\u0430\u044E\u0442\u044C 3 \u0446\u0438\u0444\u0440\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0434\u0435\u0441\u044F\u0442\u043A\u043E\u0432\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0431\u0443\u0442\u0438 \u043C\u0456\u0436 \u0442\u0435\u0433\u0430\u043C\u0438 %2 \u0456 %3",InvalidNumber:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0448\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u043D\u0430\u0437\u0432\u043E\u044E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430 \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456",NewextarrowArg2:"\u0414\u0440\u0443\u0433\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u0432\u043E\u043C\u0430 \u0446\u0456\u043B\u0438\u043C\u0438 \u0447\u0438\u0441\u043B\u0430\u043C\u0438, \u0440\u043E\u0437\u0434\u0456\u043B\u0435\u043D\u0438\u043C\u0438 \u043A\u043E\u043C\u0430\u043C\u0438",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0456\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u043B\u043E\u0432\u0438\u043C \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0438\u043C \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u043C",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 %1",IllegalControlSequenceName:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456 \u0434\u043B\u044F %1",IllegalParamNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432, \u0437\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0445 \u0443 %1",MissingCS:"\u041F\u0456\u0441\u043B\u044F %1 \u043C\u0443\u0441\u0438\u0442\u044C \u0441\u043B\u0456\u0434\u0443\u0432\u0430\u0442\u0438 \u043A\u0435\u0440\u0456\u0432\u043D\u0430 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u0456\u0441\u0442\u044C",CantUseHash2:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F # \u0443 \u0448\u0430\u0431\u043B\u043E\u043D\u0456 \u0434\u043B\u044F %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u0431\u0443\u0442\u0438 \u043F\u0440\u043E\u043D\u0443\u043C\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E",MissingReplacementString:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u044F\u0434\u043E\u043A \u0437\u0430\u043C\u0456\u043D\u0438 \u0434\u043B\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F %1",MismatchUseDef:"\u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1 \u043D\u0435 \u0432\u0456\u0434\u043F\u043E\u0432\u0456\u0434\u0430\u0454 \u0439\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044E",RunawayArgument:"\u0412\u0442\u0440\u0430\u0447\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1?",NoClosingDelim:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0433\u043E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A\u0430 \u0434\u043B\u044F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/TeX.js"); +MathJax.Localization.addTranslation("uk","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",ExtraCloseMissingOpen:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",MissingLeftExtraRight:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\left \u0430\u0431\u043E \u0437\u0430\u0439\u0432\u0438\u0439 \\right",MissingScript:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0438 \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456 \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0456\u0432",ExtraLeftMissingRight:"\u0417\u0430\u0439\u0432\u0438\u0439 \\left \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\right",Misplaced:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 %1",MissingOpenForSub:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",MissingOpenForSup:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0456\u043D\u0447\u0438\u0432\u0441\u044F \\end{%2}",EnvMissingEnd:"\u0411\u0440\u0430\u043A\u0443\u0454 \\end{%1}",MissingBoxFor:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0454 \u043F\u043E\u043B\u0435 \u0434\u043B\u044F %1",MissingCloseBrace:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u043E\u043C\u0430\u043D\u0434\u0430 %1",DoubleExponent:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",DoubleSubscripts:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043D\u0438\u0436\u043D\u0456\u0439 \u0456\u043D\u0434\u0435\u043A\u0441: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0443\u0442\u043E\u0447\u0435\u043D\u043D\u044F",DoubleExponentPrime:"\u0417\u043D\u0430\u043A \u0448\u0442\u0440\u0438\u0445\u0430 \u0441\u043F\u0440\u0438\u0447\u0438\u043D\u0438\u0432 \u043F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0443 # \u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0440\u0435\u0436\u0438\u043C\u0456",MisplacedMiddle:"%1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0432 \u043C\u0435\u0436\u0430\u0445 \\left \u0456 \\right",MisplacedLimits:"%1 \u0434\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0442\u0456\u043B\u044C\u043A\u0438 \u043D\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u0445",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0437'\u044F\u0432\u0438\u0442\u0438\u0441\u044F \u043B\u0438\u0448\u0435 \u043F\u0456\u0434 \u043A\u043E\u0440\u0435\u043D\u0435\u043C",MultipleCommand:"\u041A\u0456\u043B\u044C\u043A\u0430 %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1 \u043D\u0435 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C \u043C\u0430\u0440\u043A\u0435\u0440\u0430",InvalidMathMLAttr:"\u041D\u0435\u043F\u0440\u0438\u043F\u0443\u0441\u0442\u0438\u043C\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1 \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0434\u043B\u044F %2",MaxMacroSub1:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0456\u0432 \u043C\u0430\u043A\u0440\u043E\u0441\u0456\u0432; \u0430\u0431\u043E \u0432\u0456\u0434\u0431\u0443\u0432\u0430\u0454\u0442\u044C\u0441\u044F \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",MaxMacroSub2:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u043F\u0456\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax; \u041C\u043E\u0436\u043B\u0438\u0432\u043E, \u0440\u0435\u043A\u0443\u0440\u0441\u0456\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 LaTeX?",MissingArgFor:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0417\u0430\u0439\u0432\u0438\u0439 \u0442\u0430\u0431\u0443\u043B\u044F\u0442\u043E\u0440 \u0442\u0435\u043A\u0441\u0442\u0443 \u0443 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0443 \u0434\u0443\u0436\u043A\u0430\u0445 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0440\u043E\u0437\u043C\u0456\u0440\u043E\u043C",InvalidEnv:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0430 '%1'",UnknownEnv:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 '%1'",ExtraCloseLooking:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430 \u0432\u0438\u043D\u0438\u043A\u043B\u0430 \u043F\u0456\u0434 \u0447\u0430\u0441 \u043F\u043E\u0448\u0443\u043A\u0443 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0443 ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0443 \u0434\u043E %1",MissingOrUnrecognizedDelim:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0430\u0431\u043E \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A \u0434\u043B\u044F %1",MissingDimOrUnits:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0439\u043E\u0433\u043E \u043E\u0434\u0438\u043D\u0438\u0446\u0456 \u0434\u043B\u044F %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u043E\u043C\u0443 \u043F\u043E\u043B\u0456",IllegalMacroParam:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u043F\u043E\u0441\u0438\u043B\u0430\u043D\u043D\u044F \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0443",MaxBufferSize:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u0440\u043E\u0437\u043C\u0456\u0440 \u0432\u043D\u0443\u0442\u0440\u0456\u0448\u043D\u044C\u043E\u0433\u043E \u0431\u0443\u0444\u0435\u0440\u0430 MathJax; \u0442\u0430\u043C \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0434\u043E\u043F\u0443\u0441\u043A\u0430\u0454\u0442\u044C\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %2",MultipleLabel:"\u041C\u0456\u0442\u043A\u0430 '%1' \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0430 \u0440\u0430\u0437\u0456\u0432",CommandAtTheBeginingOfLine:"%1 \u043C\u0430\u0454 \u0437\u043D\u0430\u0445\u043E\u0434\u0438\u0442\u0438\u0441\u044F \u043D\u0430 \u043F\u043E\u0447\u0430\u0442\u043A\u0443 \u0440\u044F\u0434\u043A\u0430",IllegalAlign:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u0440\u0456\u0432\u043D\u044E\u0432\u0430\u043D\u043D\u044F \u0432\u043A\u0430\u0437\u0430\u043D\u0435 \u0443 %1",BadMathStyleFor:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0441 \u0434\u043B\u044F %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0434\u043E\u0434\u0430\u0442\u043D\u0438\u043C \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041F\u043E\u043C\u0438\u043B\u043A\u043E\u0432\u0456 \u0432\u043A\u043B\u0430\u0434\u0435\u043D\u043E\u0441\u0442\u0456 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F",MultlineRowsOneCol:"\u0420\u044F\u0434\u043A\u0438 \u0443 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %1 \u043C\u0443\u0441\u044F\u0442\u044C \u043C\u0430\u0442\u0438 \u043B\u0438\u0448\u0435 \u043E\u0434\u0438\u043D \u0441\u0442\u043E\u0432\u043F\u0435\u0446\u044C",MultipleBBoxProperty:"%1 \u0432\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0456\u0447\u0456 \u0432 %2",InvalidBBoxProperty:"'%1' \u0437\u043E\u0432\u0441\u0456\u043C \u043D\u0435 \u0441\u0445\u043E\u0436\u0438\u0439 \u043D\u0430 \u043A\u043E\u043B\u0456\u0440, \u0434\u043E\u0434\u0430\u0442\u043A\u043E\u0432\u0438\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u0417\u0430\u0439\u0432\u0430 %1 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0441\u043B\u0456\u0434\u0443\u0454 \u043F\u0456\u0441\u043B\u044F \\let, \\def \u0430\u0431\u043E \\newcommand",UndefinedColorModel:"\u041A\u043E\u043B\u0456\u0440\u043D\u0430 \u043C\u043E\u0434\u0435\u043B\u044C '%1' \u043D\u0435 \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430",ModelArg1:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u0432\u0438\u043C\u0430\u0433\u0430\u044E\u0442\u044C 3 \u0446\u0438\u0444\u0440\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0434\u0435\u0441\u044F\u0442\u043A\u043E\u0432\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0431\u0443\u0442\u0438 \u043C\u0456\u0436 \u0442\u0435\u0433\u0430\u043C\u0438 %2 \u0456 %3",InvalidNumber:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0448\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u043D\u0430\u0437\u0432\u043E\u044E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430 \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456",NewextarrowArg2:"\u0414\u0440\u0443\u0433\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u0432\u043E\u043C\u0430 \u0446\u0456\u043B\u0438\u043C\u0438 \u0447\u0438\u0441\u043B\u0430\u043C\u0438, \u0440\u043E\u0437\u0434\u0456\u043B\u0435\u043D\u0438\u043C\u0438 \u043A\u043E\u043C\u0430\u043C\u0438",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0456\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u043B\u043E\u0432\u0438\u043C \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0438\u043C \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u043C",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 %1",IllegalControlSequenceName:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456 \u0434\u043B\u044F %1",IllegalParamNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432, \u0437\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0445 \u0443 %1",MissingCS:"\u041F\u0456\u0441\u043B\u044F %1 \u043C\u0443\u0441\u0438\u0442\u044C \u0441\u043B\u0456\u0434\u0443\u0432\u0430\u0442\u0438 \u043A\u0435\u0440\u0456\u0432\u043D\u0430 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u0456\u0441\u0442\u044C",CantUseHash2:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F # \u0443 \u0448\u0430\u0431\u043B\u043E\u043D\u0456 \u0434\u043B\u044F %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u0431\u0443\u0442\u0438 \u043F\u0440\u043E\u043D\u0443\u043C\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E",MissingReplacementString:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u044F\u0434\u043E\u043A \u0437\u0430\u043C\u0456\u043D\u0438 \u0434\u043B\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F %1",MismatchUseDef:"\u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1 \u043D\u0435 \u0432\u0456\u0434\u043F\u043E\u0432\u0456\u0434\u0430\u0454 \u0439\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044E",RunawayArgument:"\u0412\u0442\u0440\u0430\u0447\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1?",NoClosingDelim:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0433\u043E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A\u0430 \u0434\u043B\u044F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/TeX.js"); diff --git a/localization/uk/uk.js b/localization/uk/uk.js index eb3356e8f9..0b4c52dcea 100644 --- a/localization/uk/uk.js +++ b/localization/uk/uk.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("uk",null,{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:'MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 "\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)',MathProcessingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u043E\u043C\u0438\u043B\u043A\u0430",LoadFile:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F %1",Loading:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F",LoadFailed:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0444\u0430\u0439\u043B: %1",ProcessMath:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430...",TypesetMath:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathJax",ErrorTips:"\u041F\u0456\u0434\u043A\u0430\u0437\u043A\u0438 \u0449\u043E\u0434\u043E \u0437\u043D\u0435\u0432\u0430\u0434\u0436\u0435\u043D\u043D\u044F: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 %%1, \u0434\u043E\u0441\u043B\u0456\u0434\u0456\u0442\u044C %%2 \u0443 \u043A\u043E\u043D\u0441\u043E\u043B\u0456 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!=11){return 1}if(2<=a%10&&a%10<=4&&!(12<=a%100&&a%100<=14)){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/uk.js"); +MathJax.Localization.addTranslation("uk",null,{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:'MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 "\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)',MathProcessingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u043E\u043C\u0438\u043B\u043A\u0430",LoadFile:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F %1",Loading:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F",LoadFailed:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0444\u0430\u0439\u043B: %1",ProcessMath:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430...",TypesetMath:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathJax",ErrorTips:"\u041F\u0456\u0434\u043A\u0430\u0437\u043A\u0438 \u0449\u043E\u0434\u043E \u0437\u043D\u0435\u0432\u0430\u0434\u0436\u0435\u043D\u043D\u044F: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 %%1, \u0434\u043E\u0441\u043B\u0456\u0434\u0456\u0442\u044C %%2 \u0443 \u043A\u043E\u043D\u0441\u043E\u043B\u0456 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!=11){return 1}if(2<=a%10&&a%10<=4&&!(12<=a%100&&a%100<=14)){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/uk.js"); diff --git a/localization/vi/FontWarnings.js b/localization/vi/FontWarnings.js index 22ac813479..d4b1306bca 100644 --- a/localization/vi/FontWarnings.js +++ b/localization/vi/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.",imageFonts:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh c\u1EE7a n\u00F3 thay v\u00EC c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn m\u00E1y ho\u1EB7c tr\u00EAn Web. C\u00E1c bi\u1EC3u th\u1EE9c to\u00E1n h\u1ECDc n\u00E0y s\u1EBD hi\u1EC3n th\u1ECB ch\u1EADm h\u01A1n b\u00ECnh th\u01B0\u1EDDng v\u00E0 c\u00F3 th\u1EC3 in ra \u1EDF \u0111\u1ED9 ph\u00E2n gi\u1EA3i th\u1EA5p.",noFonts:"MathJax kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc, v\u00E0 c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh kh\u00F4ng c\u00F3 s\u1EB5n, n\u00EAn n\u00F3 s\u1EED d\u1EE5ng c\u00E1c k\u00FD t\u1EF1 Unicode b\u00ECnh th\u01B0\u1EDDng n\u1EBFu tr\u01B0\u1EDDng h\u1EE3p tr\u00ECnh duy\u1EC7t c\u00F3 kh\u1EA3 n\u0103ng hi\u1EC3n th\u1ECB ch\u00FAng. M\u1ED9t s\u1ED1 k\u00FD t\u1EF1 s\u1EBD kh\u00F4ng hi\u1EC3n th\u1ECB ho\u1EB7c kh\u00F4ng hi\u1EC3n th\u1ECB ch\u00EDnh x\u00E1c.",webFonts:"H\u1EA7u h\u1EBFt c\u00E1c tr\u00ECnh duy\u1EC7t hi\u1EC7n \u0111\u1EA1i cho ph\u00E9p t\u1EA3i v\u1EC1 ph\u00F4ng ch\u1EEF t\u1EEB trang m\u1EA1ng. Vi\u1EC7c c\u1EADp nh\u1EADt \u0111\u1EBFn m\u1ED9t phi\u00EAn b\u1EA3n tr\u00ECnh duy\u1EC7t m\u1EDBi h\u01A1n (ho\u1EB7c \u0111\u1ED5i qua tr\u00ECnh duy\u1EC7t kh\u00E1c) c\u00F3 th\u1EC3 c\u1EA3i thi\u1EC7n ch\u1EA5t l\u01B0\u1EE3ng c\u1EE7a to\u00E1n tr\u00EAn trang n\u00E0y.",fonts:"MathJax c\u00F3 th\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1) ho\u1EB7c [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%2). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t m\u1ED9t trong nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",STIXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",TeXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n."}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/FontWarnings.js"); +MathJax.Localization.addTranslation("vi","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.",imageFonts:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh c\u1EE7a n\u00F3 thay v\u00EC c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn m\u00E1y ho\u1EB7c tr\u00EAn Web. C\u00E1c bi\u1EC3u th\u1EE9c to\u00E1n h\u1ECDc n\u00E0y s\u1EBD hi\u1EC3n th\u1ECB ch\u1EADm h\u01A1n b\u00ECnh th\u01B0\u1EDDng v\u00E0 c\u00F3 th\u1EC3 in ra \u1EDF \u0111\u1ED9 ph\u00E2n gi\u1EA3i th\u1EA5p.",noFonts:"MathJax kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc, v\u00E0 c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh kh\u00F4ng c\u00F3 s\u1EB5n, n\u00EAn n\u00F3 s\u1EED d\u1EE5ng c\u00E1c k\u00FD t\u1EF1 Unicode b\u00ECnh th\u01B0\u1EDDng n\u1EBFu tr\u01B0\u1EDDng h\u1EE3p tr\u00ECnh duy\u1EC7t c\u00F3 kh\u1EA3 n\u0103ng hi\u1EC3n th\u1ECB ch\u00FAng. M\u1ED9t s\u1ED1 k\u00FD t\u1EF1 s\u1EBD kh\u00F4ng hi\u1EC3n th\u1ECB ho\u1EB7c kh\u00F4ng hi\u1EC3n th\u1ECB ch\u00EDnh x\u00E1c.",webFonts:"H\u1EA7u h\u1EBFt c\u00E1c tr\u00ECnh duy\u1EC7t hi\u1EC7n \u0111\u1EA1i cho ph\u00E9p t\u1EA3i v\u1EC1 ph\u00F4ng ch\u1EEF t\u1EEB trang m\u1EA1ng. Vi\u1EC7c c\u1EADp nh\u1EADt \u0111\u1EBFn m\u1ED9t phi\u00EAn b\u1EA3n tr\u00ECnh duy\u1EC7t m\u1EDBi h\u01A1n (ho\u1EB7c \u0111\u1ED5i qua tr\u00ECnh duy\u1EC7t kh\u00E1c) c\u00F3 th\u1EC3 c\u1EA3i thi\u1EC7n ch\u1EA5t l\u01B0\u1EE3ng c\u1EE7a to\u00E1n tr\u00EAn trang n\u00E0y.",fonts:"MathJax c\u00F3 th\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1) ho\u1EB7c [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%2). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t m\u1ED9t trong nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",STIXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",TeXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n."}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/FontWarnings.js"); diff --git a/localization/vi/HTML-CSS.js b/localization/vi/HTML-CSS.js index 717da38d08..ee7a20e714 100644 --- a/localization/vi/HTML-CSS.js +++ b/localization/vi/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",CantLoadWebFont:"Kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",FirefoxCantLoadWebFont:"Firefox kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web t\u1EEB m\u1ED9t m\u00E1y ch\u1EE7 t\u1EEB xa",CantFindFontUsing:"Kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF h\u1EE3p l\u1EC7 d\u00F9ng %1",WebFontsNotAvailable:"Ph\u00F4ng ch\u1EEF Web kh\u00F4ng c\u00F3 s\u1EB5n; \u0111ang s\u1EED d\u1EE5ng ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh thay th\u1EBF"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HTML-CSS.js"); +MathJax.Localization.addTranslation("vi","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",CantLoadWebFont:"Kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",FirefoxCantLoadWebFont:"Firefox kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web t\u1EEB m\u1ED9t m\u00E1y ch\u1EE7 t\u1EEB xa",CantFindFontUsing:"Kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF h\u1EE3p l\u1EC7 d\u00F9ng %1",WebFontsNotAvailable:"Ph\u00F4ng ch\u1EEF Web kh\u00F4ng c\u00F3 s\u1EB5n; \u0111ang s\u1EED d\u1EE5ng ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh thay th\u1EBF"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HTML-CSS.js"); diff --git a/localization/vi/HelpDialog.js b/localization/vi/HelpDialog.js index 69868dc222..d8b6808980 100644 --- a/localization/vi/HelpDialog.js +++ b/localization/vi/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"Tr\u1EE3 gi\u00FAp MathJax",MathJax:"*MathJax* l\u00E0 m\u1ED9t th\u01B0 vi\u1EC7n JavaScript cho ph\u00E9p c\u00E1c t\u00E1c gi\u1EA3 nh\u00FAng c\u00F4ng th\u1EE9c to\u00E1n h\u1ECDc v\u00E0o trang Web. C\u00E1c \u0111\u1ED9c gi\u1EA3 nh\u01B0 b\u1EA1n kh\u00F4ng c\u1EA7n l\u00E0m th\u00EAm g\u00EC \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc.",Browsers:"*Tr\u00ECnh duy\u1EC7t*: MathJax t\u01B0\u01A1ng th\u00EDch v\u1EDBi t\u1EA5t c\u1EA3 c\u00E1c tr\u00ECnh duy\u1EC7t \u0111\u1EDDi m\u1EDBi, bao g\u1ED3m IE 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+, v\u00E0 ph\u1EA7n nhi\u1EC1u tr\u00ECnh duy\u1EC7t di \u0111\u1ED9ng.",Menu:"*Tr\u00ECnh \u0111\u01A1n To\u00E1n h\u1ECDc*: MathJax th\u00EAm m\u1ED9t tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh v\u00E0o c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh. Nh\u1EA5n chu\u1ED9t ph\u1EA3i ho\u1EB7c nh\u1EA5n gi\u1EEF Ctrl v\u00E0 nh\u1EA5n chu\u1ED9t tr\u00E1i \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n n\u00E0y.",ShowMath:"*Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng* cho ph\u00E9p xem v\u00E0 ch\u00E9p d\u00E1n m\u00E3 ngu\u1ED3n c\u1EE7a ph\u01B0\u01A1ng tr\u00ECnh (d\u01B0\u1EDBi d\u1EA1ng MathML ho\u1EB7c \u0111\u1ECBnh d\u1EA1ng g\u1ED1c).",Settings:"*T\u00F9y ch\u1ECDn To\u00E1n* cho ph\u00E9p \u0111i\u1EC1u khi\u1EC3n c\u00E1c t\u00EDnh n\u0103ng c\u1EE7a MathJax, th\u00ED d\u1EE5 nh\u01B0 k\u00EDch th\u01B0\u1EDBc k\u00FD t\u1EF1 to\u00E1n h\u1ECDc, c\u0169ng nh\u01B0 ph\u01B0\u01A1ng ph\u00E1p hi\u1EC3n th\u1ECB c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh.",Language:"*Ng\u00F4n ng\u1EEF* cho ph\u00E9p l\u1EF1a ch\u1ECDn ng\u00F4n ng\u1EEF cho c\u00E1c tr\u00ECnh \u0111\u01A1n v\u00E0 th\u00F4ng \u0111i\u1EC7p trong MathJax.",Zoom:"*Ph\u00F3ng to*: N\u1EBFu b\u1EA1n c\u1EA3m th\u1EA5y kh\u00F3 \u0111\u1ECDc m\u1ED9t ph\u01B0\u01A1ng tr\u00ECnh, MathJax c\u00F3 th\u1EC3 ph\u00F3ng to n\u00F3 \u0111\u1EC3 gi\u00FAp b\u1EA1n th\u1EA5y r\u00F5 h\u01A1n.",Accessibilty:"*Tr\u1EE3 n\u0103ng*: MathJax t\u1EF1 \u0111\u1ED9ng t\u00E1c \u0111\u1ED9ng v\u1EDBi c\u00E1c tr\u00ECnh \u0111\u1ECDc m\u00E0n h\u00ECnh \u0111\u1EC3 gi\u00FAp ng\u01B0\u1EDDi m\u00F9 l\u00F2a truy c\u1EADp to\u00E1n h\u1ECDc.",Fonts:"*Ph\u00F4ng ch\u1EEF*: MathJax s\u1EED d\u1EE5ng m\u1ED9t s\u1ED1 ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc n\u1EBFu \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t tr\u00EAn m\u00E1y c\u1EE7a b\u1EA1n; n\u1EBFu kh\u00F4ng, n\u00F3 t\u1EA3i c\u00E1c ph\u00F4ng ch\u1EEF Web. B\u1EA1n c\u00F3 th\u1EC3 (nh\u01B0ng kh\u00F4ng c\u1EA7n ph\u1EA3i) c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF v\u00E0o m\u00E1y \u0111\u1EC3 t\u0103ng t\u1ED1c \u0111\u1ED9 s\u1EAFp ch\u1EEF. Ch\u00FAng t\u00F4i khuy\u1EBFn kh\u00EDch c\u00E0i \u0111\u1EB7t c\u00E1c [ph\u00F4ng ch\u1EEF STIX](%1).",CloseDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i tr\u1EE3 gi\u00FAp"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HelpDialog.js"); +MathJax.Localization.addTranslation("vi","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Tr\u1EE3 gi\u00FAp MathJax",MathJax:"*MathJax* l\u00E0 m\u1ED9t th\u01B0 vi\u1EC7n JavaScript cho ph\u00E9p c\u00E1c t\u00E1c gi\u1EA3 nh\u00FAng c\u00F4ng th\u1EE9c to\u00E1n h\u1ECDc v\u00E0o trang Web. C\u00E1c \u0111\u1ED9c gi\u1EA3 nh\u01B0 b\u1EA1n kh\u00F4ng c\u1EA7n l\u00E0m th\u00EAm g\u00EC \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc.",Browsers:"*Tr\u00ECnh duy\u1EC7t*: MathJax t\u01B0\u01A1ng th\u00EDch v\u1EDBi t\u1EA5t c\u1EA3 c\u00E1c tr\u00ECnh duy\u1EC7t \u0111\u1EDDi m\u1EDBi, bao g\u1ED3m IE 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+, v\u00E0 ph\u1EA7n nhi\u1EC1u tr\u00ECnh duy\u1EC7t di \u0111\u1ED9ng.",Menu:"*Tr\u00ECnh \u0111\u01A1n To\u00E1n h\u1ECDc*: MathJax th\u00EAm m\u1ED9t tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh v\u00E0o c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh. Nh\u1EA5n chu\u1ED9t ph\u1EA3i ho\u1EB7c nh\u1EA5n gi\u1EEF Ctrl v\u00E0 nh\u1EA5n chu\u1ED9t tr\u00E1i \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n n\u00E0y.",ShowMath:"*Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng* cho ph\u00E9p xem v\u00E0 ch\u00E9p d\u00E1n m\u00E3 ngu\u1ED3n c\u1EE7a ph\u01B0\u01A1ng tr\u00ECnh (d\u01B0\u1EDBi d\u1EA1ng MathML ho\u1EB7c \u0111\u1ECBnh d\u1EA1ng g\u1ED1c).",Settings:"*T\u00F9y ch\u1ECDn To\u00E1n* cho ph\u00E9p \u0111i\u1EC1u khi\u1EC3n c\u00E1c t\u00EDnh n\u0103ng c\u1EE7a MathJax, th\u00ED d\u1EE5 nh\u01B0 k\u00EDch th\u01B0\u1EDBc k\u00FD t\u1EF1 to\u00E1n h\u1ECDc, c\u0169ng nh\u01B0 ph\u01B0\u01A1ng ph\u00E1p hi\u1EC3n th\u1ECB c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh.",Language:"*Ng\u00F4n ng\u1EEF* cho ph\u00E9p l\u1EF1a ch\u1ECDn ng\u00F4n ng\u1EEF cho c\u00E1c tr\u00ECnh \u0111\u01A1n v\u00E0 th\u00F4ng \u0111i\u1EC7p trong MathJax.",Zoom:"*Ph\u00F3ng to*: N\u1EBFu b\u1EA1n c\u1EA3m th\u1EA5y kh\u00F3 \u0111\u1ECDc m\u1ED9t ph\u01B0\u01A1ng tr\u00ECnh, MathJax c\u00F3 th\u1EC3 ph\u00F3ng to n\u00F3 \u0111\u1EC3 gi\u00FAp b\u1EA1n th\u1EA5y r\u00F5 h\u01A1n.",Accessibilty:"*Tr\u1EE3 n\u0103ng*: MathJax t\u1EF1 \u0111\u1ED9ng t\u00E1c \u0111\u1ED9ng v\u1EDBi c\u00E1c tr\u00ECnh \u0111\u1ECDc m\u00E0n h\u00ECnh \u0111\u1EC3 gi\u00FAp ng\u01B0\u1EDDi m\u00F9 l\u00F2a truy c\u1EADp to\u00E1n h\u1ECDc.",Fonts:"*Ph\u00F4ng ch\u1EEF*: MathJax s\u1EED d\u1EE5ng m\u1ED9t s\u1ED1 ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc n\u1EBFu \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t tr\u00EAn m\u00E1y c\u1EE7a b\u1EA1n; n\u1EBFu kh\u00F4ng, n\u00F3 t\u1EA3i c\u00E1c ph\u00F4ng ch\u1EEF Web. B\u1EA1n c\u00F3 th\u1EC3 (nh\u01B0ng kh\u00F4ng c\u1EA7n ph\u1EA3i) c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF v\u00E0o m\u00E1y \u0111\u1EC3 t\u0103ng t\u1ED1c \u0111\u1ED9 s\u1EAFp ch\u1EEF. Ch\u00FAng t\u00F4i khuy\u1EBFn kh\u00EDch c\u00E0i \u0111\u1EB7t c\u00E1c [ph\u00F4ng ch\u1EEF STIX](%1).",CloseDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i tr\u1EE3 gi\u00FAp"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HelpDialog.js"); diff --git a/localization/vi/MathML.js b/localization/vi/MathML.js index 0b8f2d451f..9ff7a7a2fb 100644 --- a/localization/vi/MathML.js +++ b/localization/vi/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"mglyph h\u1ECFng: %1",BadMglyphFont:"Ph\u00F4ng ch\u1EEF h\u1ECFng: %1",MathPlayer:"MathJax kh\u00F4ng th\u1EC3 thi\u1EBFt l\u1EADp MathPlayer.\n\nN\u1EBFu MathPlayer ch\u01B0a \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t, b\u1EA1n c\u1EA7n ph\u1EA3i c\u00E0i \u0111\u1EB7t n\u00F3 tr\u01B0\u1EDBc ti\u00EAn.\nN\u1EBFu kh\u00F4ng, c\u00E1c t\u00F9y ch\u1ECDn b\u1EA3o m\u1EADt c\u1EE7a b\u1EA1n c\u00F3 th\u1EC3 ng\u0103n tr\u1EDF c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m c\u00E1c h\u1ED9p \u201CCh\u1EA1y \u0111i\u1EC1u khi\u1EC3n ActiveX\u201D v\u00E0 \u201CH\u00E0nh vi nh\u1ECB ph\u00E2n v\u00E0 k\u1ECBch b\u1EA3n\u201D.\n\nHi\u1EC7n t\u1EA1i b\u1EA1n s\u1EBD g\u1EB7p c\u00E1c th\u00F4ng b\u00E1o l\u1ED7i thay v\u00EC to\u00E1n h\u1ECDc \u0111\u01B0\u1EE3c k\u1EBFt xu\u1EA5t.",CantCreateXMLParser:"MathJax kh\u00F4ng th\u1EC3 t\u1EA1o ra b\u1ED9 ph\u00E2n t\u00EDch XML cho MathML. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m h\u1ED9p \u201CScript c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX \u0111\u01B0\u1EE3c \u0111\u00E1nh d\u1EA5u l\u00E0 an to\u00E0n\u201D.\n\nMathJax s\u1EBD kh\u00F4ng th\u1EC3 x\u1EED l\u00FD c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh MathML.",UnknownNodeType:"Ki\u1EC3u n\u00FAt kh\u00F4ng r\u00F5: %1",UnexpectedTextNode:"N\u00FAt v\u0103n b\u1EA3n b\u1EA5t ng\u1EEB: %1",ErrorParsingMathML:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML",ParsingError:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML: %1",MathMLSingleElement:"MathML ph\u1EA3i ch\u1EC9 c\u00F3 m\u1ED9t ph\u1EA7n t\u1EED g\u1ED1c",MathMLRootElement:"Ph\u1EA7n t\u1EED g\u1ED1c c\u1EE7a MathML ph\u1EA3i l\u00E0 \u003Cmath\u003E, ch\u1EE9 kh\u00F4ng ph\u1EA3i %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathML.js"); +MathJax.Localization.addTranslation("vi","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph h\u1ECFng: %1",BadMglyphFont:"Ph\u00F4ng ch\u1EEF h\u1ECFng: %1",MathPlayer:"MathJax kh\u00F4ng th\u1EC3 thi\u1EBFt l\u1EADp MathPlayer.\n\nN\u1EBFu MathPlayer ch\u01B0a \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t, b\u1EA1n c\u1EA7n ph\u1EA3i c\u00E0i \u0111\u1EB7t n\u00F3 tr\u01B0\u1EDBc ti\u00EAn.\nN\u1EBFu kh\u00F4ng, c\u00E1c t\u00F9y ch\u1ECDn b\u1EA3o m\u1EADt c\u1EE7a b\u1EA1n c\u00F3 th\u1EC3 ng\u0103n tr\u1EDF c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m c\u00E1c h\u1ED9p \u201CCh\u1EA1y \u0111i\u1EC1u khi\u1EC3n ActiveX\u201D v\u00E0 \u201CH\u00E0nh vi nh\u1ECB ph\u00E2n v\u00E0 k\u1ECBch b\u1EA3n\u201D.\n\nHi\u1EC7n t\u1EA1i b\u1EA1n s\u1EBD g\u1EB7p c\u00E1c th\u00F4ng b\u00E1o l\u1ED7i thay v\u00EC to\u00E1n h\u1ECDc \u0111\u01B0\u1EE3c k\u1EBFt xu\u1EA5t.",CantCreateXMLParser:"MathJax kh\u00F4ng th\u1EC3 t\u1EA1o ra b\u1ED9 ph\u00E2n t\u00EDch XML cho MathML. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m h\u1ED9p \u201CScript c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX \u0111\u01B0\u1EE3c \u0111\u00E1nh d\u1EA5u l\u00E0 an to\u00E0n\u201D.\n\nMathJax s\u1EBD kh\u00F4ng th\u1EC3 x\u1EED l\u00FD c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh MathML.",UnknownNodeType:"Ki\u1EC3u n\u00FAt kh\u00F4ng r\u00F5: %1",UnexpectedTextNode:"N\u00FAt v\u0103n b\u1EA3n b\u1EA5t ng\u1EEB: %1",ErrorParsingMathML:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML",ParsingError:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML: %1",MathMLSingleElement:"MathML ph\u1EA3i ch\u1EC9 c\u00F3 m\u1ED9t ph\u1EA7n t\u1EED g\u1ED1c",MathMLRootElement:"Ph\u1EA7n t\u1EED g\u1ED1c c\u1EE7a MathML ph\u1EA3i l\u00E0 \u003Cmath\u003E, ch\u1EE9 kh\u00F4ng ph\u1EA3i %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathML.js"); diff --git a/localization/vi/MathMenu.js b/localization/vi/MathMenu.js index 45f9cf226b..539a34ca3b 100644 --- a/localization/vi/MathMenu.js +++ b/localization/vi/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng",MathMLcode:"M\u00E3 ngu\u1ED3n MathML",OriginalMathML:"MathML G\u1ED1c",TeXCommands:"L\u1EC7nh TeX",AsciiMathInput:"\u0110\u1EA7u v\u00E0o AsciiMathML",Original:"H\u00ECnh th\u1EE9c G\u1ED1c",ErrorMessage:"Th\u00F4ng b\u00E1o L\u1ED7i",Annotation:"Ch\u00FA th\u00EDch",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML N\u1ED9i dung",OpenMath:"OpenMath",texHints:"Xem g\u1EE3i \u00FD TeX trong MathML",Settings:"T\u00F9y ch\u1ECDn To\u00E1n",ZoomTrigger:"H\u00E0nh \u0111\u1ED9ng Ph\u00F3ng to",Hover:"R\u00EA chu\u1ED9t",Click:"Nh\u1EA5n chu\u1ED9t",DoubleClick:"Nh\u1EA5n \u0111\u00FAp chu\u1ED9t",NoZoom:"Kh\u00F4ng ph\u00F3ng to",TriggerRequires:"Ch\u1EC9 khi B\u1EA5m gi\u1EEF:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"T\u1EF7 l\u1EC7 Ph\u00F3ng to",Renderer:"Ki\u1EC3u K\u1EBFt xu\u1EA5t To\u00E1n",MPHandles:"Cho ph\u00E9p MathPlayer X\u1EED l\u00FD:",MenuEvents:"S\u1EF1 ki\u1EC7n Tr\u00ECnh \u0111\u01A1n",MouseEvents:"S\u1EF1 ki\u1EC7n Chu\u1ED9t",MenuAndMouse:"S\u1EF1 ki\u1EC7n Chu\u1ED9t v\u00E0 Tr\u00ECnh \u0111\u01A1n",FontPrefs:"T\u00F9y ch\u1ECDn Ph\u00F4ng ch\u1EEF",ForHTMLCSS:"Cho HTML+CSS:",Auto:"T\u1EF1 \u0111\u1ED9ng",TeXLocal:"TeX (tr\u00EAn m\u00E1y)",TeXWeb:"TeX (tr\u00EAn Web)",TeXImage:"TeX (h\u00ECnh \u1EA3nh)",STIXLocal:"STIX (tr\u00EAn m\u00E1y)",STIXWeb:"STIX (tr\u00EAn Web)",AsanaMathWeb:"Asana Math (tr\u00EAn Web)",GyrePagellaWeb:"Gyre Pagella (tr\u00EAn Web)",GyreTermesWeb:"Gyre Termes (tr\u00EAn Web)",LatinModernWeb:"Latinh Modern (tr\u00EAn Web)",NeoEulerWeb:"Neo Euler (tr\u00EAn Web)",ContextMenu:"Tr\u00ECnh \u0111\u01A1n Ng\u1EEF c\u1EA3nh",Browser:"Tr\u00ECnh duy\u1EC7t",Scale:"Ph\u00F3ng to T\u1EA5t c\u1EA3 To\u00E1n\u2026",Discoverable:"T\u00F4 s\u00E1ng khi R\u00EA chu\u1ED9t",Locale:"Ng\u00F4n ng\u1EEF",LoadLocale:"T\u1EA3i t\u1EEB URL\u2026",About:"Gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",Help:"Tr\u1EE3 gi\u00FAp MathJax",localTeXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF TeX tr\u00EAn m\u00E1y",webTeXfonts:"d\u00F9ng ph\u00F4ng ch\u1EEF TeX tr\u00EAn Web",imagefonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh",localSTIXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF STIX tr\u00EAn m\u00E1y",webSVGfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF SVG tr\u00EAn Web",genericfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF Unicode chung",wofforotffonts:"Ph\u00F4ng ch\u1EEF WOFF ho\u1EB7c OTF",eotffonts:"Ph\u00F4ng ch\u1EEF EOT",svgfonts:"Ph\u00F4ng ch\u1EEF SVG",WebkitNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u00ECnh nh\u01B0 kh\u00F4ng h\u1ED7 tr\u1EE3 MathML l\u00E0 m\u1ED9t ng\u00F4n ng\u1EEF g\u1ED1c, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho kh\u00F4ng \u0111\u1ECDc \u0111\u01B0\u1EE3c c\u00E1c to\u00E1n tr\u00EAn trang.",MSIENativeMMLWarning:"Internet Explorer c\u1EA7n ph\u1EA7n b\u1ED5 sung MathPlayer \u0111\u1EC3 x\u1EED l\u00FD \u0111\u1EA7u ra MathML.",OperaNativeMMLWarning:"Opera kh\u00F4ng h\u1ED7 tr\u1EE3 MathML \u0111\u1EA7y \u0111\u1EE7, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c hi\u1EC3n th\u1ECB m\u1ED9t c\u00E1ch kh\u00F4ng ch\u00EDnh x\u00E1c.",SafariNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",FirefoxNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",MSIESVGWarning:"SVG kh\u00F4ng \u0111\u01B0\u1EE3c h\u1ED7 tr\u1EE3 trong Internet Explorer tr\u01B0\u1EDBc IE9 ho\u1EB7c khi gi\u1EA3 l\u1EADp IE8 tr\u1EDF xu\u1ED1ng. Vi\u1EC7c k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 hi\u1EC3n th\u1ECB SVG s\u1EBD l\u00E0m cho c\u00E1c to\u00E1n hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",LoadURL:"T\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB URL n\u00E0y:",BadURL:"URL ph\u1EA3i d\u1EABn \u0111\u1EBFn m\u1ED9t t\u1EADp tin JavaScript \u0111\u1ECBnh r\u00F5 d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch MathJax. C\u00E1c t\u00EAn t\u1EADp tin JavaScript ph\u1EA3i c\u00F3 \u201C.js\u201D \u0111\u1EB1ng sau.",BadData:"Th\u1EA5t b\u1EA1i khi t\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB %1",SwitchAnyway:"C\u1EE9 k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t n\u00E0y?\n\n(B\u1EA5m OK \u0111\u1EC3 k\u00EDch ho\u1EA1t, ho\u1EB7c Cancel \u0111\u1EC3 ti\u1EBFp t\u1EE5c s\u1EED d\u1EE5ng ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t hi\u1EC7n t\u1EA1i.)",ScaleMath:"Ph\u00F3ng to t\u1EA5t c\u1EA3 to\u00E1n (so v\u1EDBi v\u0103n b\u1EA3n n\u1EB1m chung quanh) b\u1EB1ng t\u1EF7 l\u1EC7:",NonZeroScale:"T\u1EF7 l\u1EC7 ph\u1EA3i kh\u00F4ng 0",PercentScale:"T\u1EF7 l\u1EC7 ph\u1EA3i l\u00E0 s\u1ED1 ph\u1EA7n tr\u0103m (th\u00ED d\u1EE5 120%%)",IE8warning:"Tr\u00ECnh \u0111\u01A1n MathJax v\u00E0 t\u00EDnh n\u0103ng ph\u00F3ng to s\u1EBD kh\u00F4ng c\u00F2n ho\u1EA1t \u0111\u1ED9ng. B\u1EA1n v\u1EABn c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.\n\nB\u1EA1n c\u00F3 ch\u1EAFc ch\u1EAFn mu\u1ED1n thay \u0111\u1ED5i t\u00F9y ch\u1ECDn MathPlayer?",IE9warning:"Tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh MathJax s\u1EBD b\u1ECB v\u00F4 hi\u1EC7u, nh\u01B0ng b\u1EA1n c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.",NoOriginalForm:"H\u00ECnh th\u1EE9c g\u1ED1c kh\u00F4ng c\u00F3 s\u1EB5n",Close:"\u0110\u00F3ng",EqSource:"M\u00E3 ngu\u1ED3n C\u00F4ng th\u1EE9c MathJax",CloseAboutDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",FastPreview:"Xem tr\u01B0\u1EDBc nhanh",AssistiveMML:"MathML tr\u1EE3 n\u0103ng",InTabOrder:"Bao g\u1ED3m trong th\u1EE9 t\u1EF1 Tab"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathMenu.js"); +MathJax.Localization.addTranslation("vi","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng",MathMLcode:"M\u00E3 ngu\u1ED3n MathML",OriginalMathML:"MathML G\u1ED1c",TeXCommands:"L\u1EC7nh TeX",AsciiMathInput:"\u0110\u1EA7u v\u00E0o AsciiMathML",Original:"H\u00ECnh th\u1EE9c G\u1ED1c",ErrorMessage:"Th\u00F4ng b\u00E1o L\u1ED7i",Annotation:"Ch\u00FA th\u00EDch",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML N\u1ED9i dung",OpenMath:"OpenMath",texHints:"Xem g\u1EE3i \u00FD TeX trong MathML",Settings:"T\u00F9y ch\u1ECDn To\u00E1n",ZoomTrigger:"H\u00E0nh \u0111\u1ED9ng Ph\u00F3ng to",Hover:"R\u00EA chu\u1ED9t",Click:"Nh\u1EA5n chu\u1ED9t",DoubleClick:"Nh\u1EA5n \u0111\u00FAp chu\u1ED9t",NoZoom:"Kh\u00F4ng ph\u00F3ng to",TriggerRequires:"Ch\u1EC9 khi B\u1EA5m gi\u1EEF:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"T\u1EF7 l\u1EC7 Ph\u00F3ng to",Renderer:"Ki\u1EC3u K\u1EBFt xu\u1EA5t To\u00E1n",MPHandles:"Cho ph\u00E9p MathPlayer X\u1EED l\u00FD:",MenuEvents:"S\u1EF1 ki\u1EC7n Tr\u00ECnh \u0111\u01A1n",MouseEvents:"S\u1EF1 ki\u1EC7n Chu\u1ED9t",MenuAndMouse:"S\u1EF1 ki\u1EC7n Chu\u1ED9t v\u00E0 Tr\u00ECnh \u0111\u01A1n",FontPrefs:"T\u00F9y ch\u1ECDn Ph\u00F4ng ch\u1EEF",ForHTMLCSS:"Cho HTML+CSS:",Auto:"T\u1EF1 \u0111\u1ED9ng",TeXLocal:"TeX (tr\u00EAn m\u00E1y)",TeXWeb:"TeX (tr\u00EAn Web)",TeXImage:"TeX (h\u00ECnh \u1EA3nh)",STIXLocal:"STIX (tr\u00EAn m\u00E1y)",STIXWeb:"STIX (tr\u00EAn Web)",AsanaMathWeb:"Asana Math (tr\u00EAn Web)",GyrePagellaWeb:"Gyre Pagella (tr\u00EAn Web)",GyreTermesWeb:"Gyre Termes (tr\u00EAn Web)",LatinModernWeb:"Latinh Modern (tr\u00EAn Web)",NeoEulerWeb:"Neo Euler (tr\u00EAn Web)",ContextMenu:"Tr\u00ECnh \u0111\u01A1n Ng\u1EEF c\u1EA3nh",Browser:"Tr\u00ECnh duy\u1EC7t",Scale:"Ph\u00F3ng to T\u1EA5t c\u1EA3 To\u00E1n\u2026",Discoverable:"T\u00F4 s\u00E1ng khi R\u00EA chu\u1ED9t",Locale:"Ng\u00F4n ng\u1EEF",LoadLocale:"T\u1EA3i t\u1EEB URL\u2026",About:"Gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",Help:"Tr\u1EE3 gi\u00FAp MathJax",localTeXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF TeX tr\u00EAn m\u00E1y",webTeXfonts:"d\u00F9ng ph\u00F4ng ch\u1EEF TeX tr\u00EAn Web",imagefonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh",localSTIXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF STIX tr\u00EAn m\u00E1y",webSVGfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF SVG tr\u00EAn Web",genericfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF Unicode chung",wofforotffonts:"Ph\u00F4ng ch\u1EEF WOFF ho\u1EB7c OTF",eotffonts:"Ph\u00F4ng ch\u1EEF EOT",svgfonts:"Ph\u00F4ng ch\u1EEF SVG",WebkitNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u00ECnh nh\u01B0 kh\u00F4ng h\u1ED7 tr\u1EE3 MathML l\u00E0 m\u1ED9t ng\u00F4n ng\u1EEF g\u1ED1c, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho kh\u00F4ng \u0111\u1ECDc \u0111\u01B0\u1EE3c c\u00E1c to\u00E1n tr\u00EAn trang.",MSIENativeMMLWarning:"Internet Explorer c\u1EA7n ph\u1EA7n b\u1ED5 sung MathPlayer \u0111\u1EC3 x\u1EED l\u00FD \u0111\u1EA7u ra MathML.",OperaNativeMMLWarning:"Opera kh\u00F4ng h\u1ED7 tr\u1EE3 MathML \u0111\u1EA7y \u0111\u1EE7, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c hi\u1EC3n th\u1ECB m\u1ED9t c\u00E1ch kh\u00F4ng ch\u00EDnh x\u00E1c.",SafariNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",FirefoxNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",MSIESVGWarning:"SVG kh\u00F4ng \u0111\u01B0\u1EE3c h\u1ED7 tr\u1EE3 trong Internet Explorer tr\u01B0\u1EDBc IE9 ho\u1EB7c khi gi\u1EA3 l\u1EADp IE8 tr\u1EDF xu\u1ED1ng. Vi\u1EC7c k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 hi\u1EC3n th\u1ECB SVG s\u1EBD l\u00E0m cho c\u00E1c to\u00E1n hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",LoadURL:"T\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB URL n\u00E0y:",BadURL:"URL ph\u1EA3i d\u1EABn \u0111\u1EBFn m\u1ED9t t\u1EADp tin JavaScript \u0111\u1ECBnh r\u00F5 d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch MathJax. C\u00E1c t\u00EAn t\u1EADp tin JavaScript ph\u1EA3i c\u00F3 \u201C.js\u201D \u0111\u1EB1ng sau.",BadData:"Th\u1EA5t b\u1EA1i khi t\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB %1",SwitchAnyway:"C\u1EE9 k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t n\u00E0y?\n\n(B\u1EA5m OK \u0111\u1EC3 k\u00EDch ho\u1EA1t, ho\u1EB7c Cancel \u0111\u1EC3 ti\u1EBFp t\u1EE5c s\u1EED d\u1EE5ng ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t hi\u1EC7n t\u1EA1i.)",ScaleMath:"Ph\u00F3ng to t\u1EA5t c\u1EA3 to\u00E1n (so v\u1EDBi v\u0103n b\u1EA3n n\u1EB1m chung quanh) b\u1EB1ng t\u1EF7 l\u1EC7:",NonZeroScale:"T\u1EF7 l\u1EC7 ph\u1EA3i kh\u00F4ng 0",PercentScale:"T\u1EF7 l\u1EC7 ph\u1EA3i l\u00E0 s\u1ED1 ph\u1EA7n tr\u0103m (th\u00ED d\u1EE5 120%%)",IE8warning:"Tr\u00ECnh \u0111\u01A1n MathJax v\u00E0 t\u00EDnh n\u0103ng ph\u00F3ng to s\u1EBD kh\u00F4ng c\u00F2n ho\u1EA1t \u0111\u1ED9ng. B\u1EA1n v\u1EABn c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.\n\nB\u1EA1n c\u00F3 ch\u1EAFc ch\u1EAFn mu\u1ED1n thay \u0111\u1ED5i t\u00F9y ch\u1ECDn MathPlayer?",IE9warning:"Tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh MathJax s\u1EBD b\u1ECB v\u00F4 hi\u1EC7u, nh\u01B0ng b\u1EA1n c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.",NoOriginalForm:"H\u00ECnh th\u1EE9c g\u1ED1c kh\u00F4ng c\u00F3 s\u1EB5n",Close:"\u0110\u00F3ng",EqSource:"M\u00E3 ngu\u1ED3n C\u00F4ng th\u1EE9c MathJax",CloseAboutDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",FastPreview:"Xem tr\u01B0\u1EDBc nhanh",AssistiveMML:"MathML tr\u1EE3 n\u0103ng",InTabOrder:"Bao g\u1ED3m trong th\u1EE9 t\u1EF1 Tab"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathMenu.js"); diff --git a/localization/vi/TeX.js b/localization/vi/TeX.js index 4ad03ed99c..cdf7893c08 100644 --- a/localization/vi/TeX.js +++ b/localization/vi/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu",ExtraCloseMissingOpen:"D\u1EA5u ngo\u1EB7c \u0111\u00F3ng c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c m\u1EDF b\u1ECB thi\u1EBFu",MissingLeftExtraRight:"Thi\u1EBFu \\left ho\u1EB7c d\u01B0 \\right",MissingScript:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 ch\u1EC9 s\u1ED1",ExtraLeftMissingRight:"D\u01B0 \\left ho\u1EB7c thi\u1EBFu \\right",MissingOpenForSub:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi",MissingOpenForSup:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 tr\u00EAn",AmbiguousUseOf:"%1 \u0111\u01B0\u1EE3c s\u1EED d\u1EE5ng m\u1ED9t c\u00E1ch kh\u00F4ng r\u00F5 r\u00E0ng",EnvBadEnd:"\\begin{%1} k\u1EBFt th\u00FAc v\u1EDBi \\end{%2}",EnvMissingEnd:"Thi\u1EBFu \\end{%1}",MissingBoxFor:"Thi\u1EBFu h\u1ED9p cho %1",MissingCloseBrace:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u00F3ng",MisplacedMiddle:"%1 ph\u1EA3i n\u1EB1m gi\u1EEFa \\left v\u00E0 \\right",MisplacedLimits:"%1 ch\u1EC9 \u0111\u01B0\u1EE3c cho ph\u00E9p \u0111\u1ED1i v\u1EDBi ph\u00E9p to\u00E1n",MultipleCommand:"Nhi\u1EC1u %1",InvalidMathMLAttr:"Thu\u1ED9c t\u00EDnh MathML kh\u00F4ng h\u1EE3p l\u1EC7: %1",UnknownAttrForElement:"%1 kh\u00F4ng \u0111\u01B0\u1EE3c c\u00F4ng nh\u1EADn l\u00E0 thu\u1ED9c t\u00EDnh cho %2",MissingArgFor:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 cho %1",InvalidEnv:"T\u00EAn m\u00F4i tr\u01B0\u1EDDng \u201C%1\u201D kh\u00F4ng h\u1EE3p l\u1EC7",UnknownEnv:"M\u00F4i tr\u01B0\u1EDDng kh\u00F4ng r\u00F5 \u201C%1\u201D",TokenNotFoundForCommand:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 cho %2",CommandNotAllowedInEnv:"Kh\u00F4ng cho ph\u00E9p %1 trong m\u00F4i tr\u01B0\u1EDDng %2",MultipleLabel:"Nh\u00E3n \u201C%1\u201D \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 nhi\u1EC1u l\u1EA7n",CommandAtTheBeginingOfLine:"%1 ph\u1EA3i n\u1EB1m v\u00E0o \u0111\u1EA7u d\u00F2ng",MultipleBBoxProperty:"%1 \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 hai l\u1EA7n trong %2",InvalidDecimalNumber:"S\u1ED1 th\u1EADp ph\u00E2n kh\u00F4ng h\u1EE3p l\u1EC7",InvalidNumber:"S\u1ED1 kh\u00F4ng h\u1EE3p l\u1EC7",NoClosingChar:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 \u0111\u00F3ng",Misplaced:"\u0110\u00E3 \u0111\u1EB7t sai ch\u1ED7 %1",UndefinedControlSequence:"Tr\u00ECnh t\u1EF1 ki\u1EC3m so\u00E1t kh\u00F4ng x\u00E1c \u0111\u1ECBnh %1",DoubleExponent:"Ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleSubscripts:"Ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleExponentPrime:"D\u1EA5u ph\u1EA9y tr\u00EAn g\u00E2y ra ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",CantUseHash1:"B\u1EA1n kh\u00F4ng th\u1EC3 s\u1EED d\u1EE5ng \u201Ck\u00FD t\u1EF1 tham bi\u1EBFn macro #\u201D trong ch\u1EBF \u0111\u1ED9 to\u00E1n",MisplacedMoveRoot:"%1 ch\u1EC9 c\u00F3 th\u1EC3 xu\u1EA5t hi\u1EC7n trong ph\u00E9p c\u0103n",IntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn",NotMathMLToken:"%1 kh\u00F4ng ph\u1EA3i l\u00E0 ph\u1EA7n t\u1EED d\u1EA5u hi\u1EC7u",MaxMacroSub1:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF macro t\u1ED1i \u0111a c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",MaxMacroSub2:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF t\u1ED1i \u0111a c\u1EE7a MathJax; m\u00F4i tr\u01B0\u1EDDng LaTeX c\u00F3 ph\u1EA3i \u0111\u1EC7 quy?",ExtraAlignTab:"Th\u1EBB c\u0103n ch\u1EC9nh d\u01B0 trong v\u0103n b\u1EA3n \\cases",BracketMustBeDimension:"\u0110\u1ED1i s\u1ED1 trong d\u1EA5u ngo\u1EB7c c\u1EE7a %1 ph\u1EA3i l\u00E0 chi\u1EC1u",ExtraCloseLooking:"D\u1EA5u \u0111\u00F3ng b\u1EA5t ng\u1EDD trong khi t\u00ECm ki\u1EBFm %1",MissingCloseBracket:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u \u201C]\u201D \u0111\u00F3ng cho \u0111\u1ED1i s\u1ED1 c\u1EE7a %1",MissingOrUnrecognizedDelim:"D\u1EA5u t\u00E1ch b\u1ECB thi\u1EBFu ho\u1EB7c kh\u00F4ng r\u00F5 cho %1",MissingDimOrUnits:"Thi\u1EBFu chi\u1EC1u ho\u1EB7c \u0111\u01A1n v\u1ECB c\u1EE7a %1",MathNotTerminated:"To\u00E1n kh\u00F4ng ch\u1EA5m d\u1EE9t trong h\u1ED9p v\u0103n b\u1EA3n",IllegalMacroParam:"Tham chi\u1EBFu tham bi\u1EBFn macro kh\u00F4ng h\u1EE3p l\u1EC7",MaxBufferSize:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 k\u00EDch th\u01B0\u1EDBc b\u1ED9 \u0111\u1EC7m n\u1ED9i b\u1ED9 c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",IllegalAlign:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1EF1 c\u0103n ch\u1EC9nh kh\u00F4ng h\u1EE3p l\u1EC7 trong %1",BadMathStyleFor:"Ki\u1EC3u to\u00E1n h\u1ECFng v\u1EDBi %1",PositiveIntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn d\u01B0\u01A1ng",ErroneousNestingEq:"C\u1EA5u tr\u00FAc \u0111\u1EB3ng th\u1EE9c b\u1ECB x\u1EBFp l\u1ED3ng sai l\u1EA7m",MultlineRowsOneCol:"C\u00E1c h\u00E0ng trong m\u00F4i tr\u01B0\u1EDDng %1 ph\u1EA3i c\u00F3 \u0111\u00FAng m\u1ED9t c\u1ED9t",InvalidBBoxProperty:"\u201C%1\u201D kh\u00F4ng tr\u00F4ng gi\u1ED1ng nh\u01B0 m\u00E0u, chi\u1EC1u l\u00F3t, ho\u1EB7c ki\u1EC3u",ExtraEndMissingBegin:"D\u01B0 %1 ho\u1EB7c thi\u1EBFu \\begingroup",GlobalNotFollowedBy:"%1 kh\u00F4ng c\u00F3 \\let, \\def, ho\u1EB7c \\newcommand ti\u1EBFp theo",UndefinedColorModel:"M\u00F4 h\u00ECnh m\u00E0u \u201C%1\u201D kh\u00F4ng \u0111\u1ECBnh ngh\u0129a",ModelArg1:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 \u0111\u00F2i h\u1ECFi 3 s\u1ED1",ModelArg2:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 ph\u1EA3i \u1EDF gi\u1EEFa %2 v\u00E0 %3",NewextarrowArg1:"\u0110\u1ED1i s\u1ED1 \u0111\u1EA7u ti\u00EAn c\u1EE7a %1 ph\u1EA3i l\u00E0 t\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n",NewextarrowArg2:"\u0110\u1ED1i s\u1ED1 th\u1EE9 hai c\u1EE7a %1 ph\u1EA3i l\u00E0 hai s\u1ED1 nguy\u00EAn ph\u00E2n t\u00E1ch b\u1EB1ng d\u1EA5u ph\u1EA9y",NewextarrowArg3:"\u0110\u1ED1i s\u1ED1 th\u1EE9 ba c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 k\u00FD t\u1EF1 Unicode",IllegalControlSequenceName:"T\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",IllegalParamNumber:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1ED1 tham bi\u1EBFn kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",MissingCS:"%1 ph\u1EA3i c\u00F3 tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n ti\u1EBFp theo",CantUseHash2:"\u0110\u00E3 s\u1EED d\u1EE5ng # m\u1ED9t c\u00E1ch kh\u00F4ng h\u1EE3p l\u1EC7 trong khu\u00F4n m\u1EABu c\u1EE7a %1",SequentialParam:"Tham bi\u1EBFn c\u1EE7a %1 ph\u1EA3i \u0111\u01B0\u1EE3c \u0111\u00E1nh s\u1ED1 li\u00EAn t\u1EE5c",MissingReplacementString:"Thi\u1EBFu chu\u1ED7i thay th\u1EBF khi \u0111\u1ECBnh ngh\u0129a %1",MismatchUseDef:"\u0110\u00E3 s\u1EED d\u1EE5ng %1 m\u1ED9t c\u00E1ch kh\u00F4ng ph\u00F9 h\u1EE3p v\u1EDBi \u0111\u1ECBnh ngh\u0129a c\u1EE7a n\u00F3",RunawayArgument:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 kh\u00F4ng ng\u1EEBng?",NoClosingDelim:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u k\u1EBFt th\u00FAc %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/TeX.js"); +MathJax.Localization.addTranslation("vi","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu",ExtraCloseMissingOpen:"D\u1EA5u ngo\u1EB7c \u0111\u00F3ng c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c m\u1EDF b\u1ECB thi\u1EBFu",MissingLeftExtraRight:"Thi\u1EBFu \\left ho\u1EB7c d\u01B0 \\right",MissingScript:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 ch\u1EC9 s\u1ED1",ExtraLeftMissingRight:"D\u01B0 \\left ho\u1EB7c thi\u1EBFu \\right",MissingOpenForSub:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi",MissingOpenForSup:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 tr\u00EAn",AmbiguousUseOf:"%1 \u0111\u01B0\u1EE3c s\u1EED d\u1EE5ng m\u1ED9t c\u00E1ch kh\u00F4ng r\u00F5 r\u00E0ng",EnvBadEnd:"\\begin{%1} k\u1EBFt th\u00FAc v\u1EDBi \\end{%2}",EnvMissingEnd:"Thi\u1EBFu \\end{%1}",MissingBoxFor:"Thi\u1EBFu h\u1ED9p cho %1",MissingCloseBrace:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u00F3ng",MisplacedMiddle:"%1 ph\u1EA3i n\u1EB1m gi\u1EEFa \\left v\u00E0 \\right",MisplacedLimits:"%1 ch\u1EC9 \u0111\u01B0\u1EE3c cho ph\u00E9p \u0111\u1ED1i v\u1EDBi ph\u00E9p to\u00E1n",MultipleCommand:"Nhi\u1EC1u %1",InvalidMathMLAttr:"Thu\u1ED9c t\u00EDnh MathML kh\u00F4ng h\u1EE3p l\u1EC7: %1",UnknownAttrForElement:"%1 kh\u00F4ng \u0111\u01B0\u1EE3c c\u00F4ng nh\u1EADn l\u00E0 thu\u1ED9c t\u00EDnh cho %2",MissingArgFor:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 cho %1",InvalidEnv:"T\u00EAn m\u00F4i tr\u01B0\u1EDDng \u201C%1\u201D kh\u00F4ng h\u1EE3p l\u1EC7",UnknownEnv:"M\u00F4i tr\u01B0\u1EDDng kh\u00F4ng r\u00F5 \u201C%1\u201D",TokenNotFoundForCommand:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 cho %2",CommandNotAllowedInEnv:"Kh\u00F4ng cho ph\u00E9p %1 trong m\u00F4i tr\u01B0\u1EDDng %2",MultipleLabel:"Nh\u00E3n \u201C%1\u201D \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 nhi\u1EC1u l\u1EA7n",CommandAtTheBeginingOfLine:"%1 ph\u1EA3i n\u1EB1m v\u00E0o \u0111\u1EA7u d\u00F2ng",MultipleBBoxProperty:"%1 \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 hai l\u1EA7n trong %2",InvalidDecimalNumber:"S\u1ED1 th\u1EADp ph\u00E2n kh\u00F4ng h\u1EE3p l\u1EC7",InvalidNumber:"S\u1ED1 kh\u00F4ng h\u1EE3p l\u1EC7",NoClosingChar:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 \u0111\u00F3ng",Misplaced:"\u0110\u00E3 \u0111\u1EB7t sai ch\u1ED7 %1",UndefinedControlSequence:"Tr\u00ECnh t\u1EF1 ki\u1EC3m so\u00E1t kh\u00F4ng x\u00E1c \u0111\u1ECBnh %1",DoubleExponent:"Ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleSubscripts:"Ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleExponentPrime:"D\u1EA5u ph\u1EA9y tr\u00EAn g\u00E2y ra ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",CantUseHash1:"B\u1EA1n kh\u00F4ng th\u1EC3 s\u1EED d\u1EE5ng \u201Ck\u00FD t\u1EF1 tham bi\u1EBFn macro #\u201D trong ch\u1EBF \u0111\u1ED9 to\u00E1n",MisplacedMoveRoot:"%1 ch\u1EC9 c\u00F3 th\u1EC3 xu\u1EA5t hi\u1EC7n trong ph\u00E9p c\u0103n",IntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn",NotMathMLToken:"%1 kh\u00F4ng ph\u1EA3i l\u00E0 ph\u1EA7n t\u1EED d\u1EA5u hi\u1EC7u",MaxMacroSub1:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF macro t\u1ED1i \u0111a c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",MaxMacroSub2:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF t\u1ED1i \u0111a c\u1EE7a MathJax; m\u00F4i tr\u01B0\u1EDDng LaTeX c\u00F3 ph\u1EA3i \u0111\u1EC7 quy?",ExtraAlignTab:"Th\u1EBB c\u0103n ch\u1EC9nh d\u01B0 trong v\u0103n b\u1EA3n \\cases",BracketMustBeDimension:"\u0110\u1ED1i s\u1ED1 trong d\u1EA5u ngo\u1EB7c c\u1EE7a %1 ph\u1EA3i l\u00E0 chi\u1EC1u",ExtraCloseLooking:"D\u1EA5u \u0111\u00F3ng b\u1EA5t ng\u1EDD trong khi t\u00ECm ki\u1EBFm %1",MissingCloseBracket:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u \u201C]\u201D \u0111\u00F3ng cho \u0111\u1ED1i s\u1ED1 c\u1EE7a %1",MissingOrUnrecognizedDelim:"D\u1EA5u t\u00E1ch b\u1ECB thi\u1EBFu ho\u1EB7c kh\u00F4ng r\u00F5 cho %1",MissingDimOrUnits:"Thi\u1EBFu chi\u1EC1u ho\u1EB7c \u0111\u01A1n v\u1ECB c\u1EE7a %1",MathNotTerminated:"To\u00E1n kh\u00F4ng ch\u1EA5m d\u1EE9t trong h\u1ED9p v\u0103n b\u1EA3n",IllegalMacroParam:"Tham chi\u1EBFu tham bi\u1EBFn macro kh\u00F4ng h\u1EE3p l\u1EC7",MaxBufferSize:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 k\u00EDch th\u01B0\u1EDBc b\u1ED9 \u0111\u1EC7m n\u1ED9i b\u1ED9 c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",IllegalAlign:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1EF1 c\u0103n ch\u1EC9nh kh\u00F4ng h\u1EE3p l\u1EC7 trong %1",BadMathStyleFor:"Ki\u1EC3u to\u00E1n h\u1ECFng v\u1EDBi %1",PositiveIntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn d\u01B0\u01A1ng",ErroneousNestingEq:"C\u1EA5u tr\u00FAc \u0111\u1EB3ng th\u1EE9c b\u1ECB x\u1EBFp l\u1ED3ng sai l\u1EA7m",MultlineRowsOneCol:"C\u00E1c h\u00E0ng trong m\u00F4i tr\u01B0\u1EDDng %1 ph\u1EA3i c\u00F3 \u0111\u00FAng m\u1ED9t c\u1ED9t",InvalidBBoxProperty:"\u201C%1\u201D kh\u00F4ng tr\u00F4ng gi\u1ED1ng nh\u01B0 m\u00E0u, chi\u1EC1u l\u00F3t, ho\u1EB7c ki\u1EC3u",ExtraEndMissingBegin:"D\u01B0 %1 ho\u1EB7c thi\u1EBFu \\begingroup",GlobalNotFollowedBy:"%1 kh\u00F4ng c\u00F3 \\let, \\def, ho\u1EB7c \\newcommand ti\u1EBFp theo",UndefinedColorModel:"M\u00F4 h\u00ECnh m\u00E0u \u201C%1\u201D kh\u00F4ng \u0111\u1ECBnh ngh\u0129a",ModelArg1:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 \u0111\u00F2i h\u1ECFi 3 s\u1ED1",ModelArg2:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 ph\u1EA3i \u1EDF gi\u1EEFa %2 v\u00E0 %3",NewextarrowArg1:"\u0110\u1ED1i s\u1ED1 \u0111\u1EA7u ti\u00EAn c\u1EE7a %1 ph\u1EA3i l\u00E0 t\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n",NewextarrowArg2:"\u0110\u1ED1i s\u1ED1 th\u1EE9 hai c\u1EE7a %1 ph\u1EA3i l\u00E0 hai s\u1ED1 nguy\u00EAn ph\u00E2n t\u00E1ch b\u1EB1ng d\u1EA5u ph\u1EA9y",NewextarrowArg3:"\u0110\u1ED1i s\u1ED1 th\u1EE9 ba c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 k\u00FD t\u1EF1 Unicode",IllegalControlSequenceName:"T\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",IllegalParamNumber:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1ED1 tham bi\u1EBFn kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",MissingCS:"%1 ph\u1EA3i c\u00F3 tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n ti\u1EBFp theo",CantUseHash2:"\u0110\u00E3 s\u1EED d\u1EE5ng # m\u1ED9t c\u00E1ch kh\u00F4ng h\u1EE3p l\u1EC7 trong khu\u00F4n m\u1EABu c\u1EE7a %1",SequentialParam:"Tham bi\u1EBFn c\u1EE7a %1 ph\u1EA3i \u0111\u01B0\u1EE3c \u0111\u00E1nh s\u1ED1 li\u00EAn t\u1EE5c",MissingReplacementString:"Thi\u1EBFu chu\u1ED7i thay th\u1EBF khi \u0111\u1ECBnh ngh\u0129a %1",MismatchUseDef:"\u0110\u00E3 s\u1EED d\u1EE5ng %1 m\u1ED9t c\u00E1ch kh\u00F4ng ph\u00F9 h\u1EE3p v\u1EDBi \u0111\u1ECBnh ngh\u0129a c\u1EE7a n\u00F3",RunawayArgument:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 kh\u00F4ng ng\u1EEBng?",NoClosingDelim:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u k\u1EBFt th\u00FAc %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/TeX.js"); diff --git a/localization/vi/vi.js b/localization/vi/vi.js index 07eb401882..5e5a540f65 100644 --- a/localization/vi/vi.js +++ b/localization/vi/vi.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("vi",null,{menuTitle:"Ti\u1EBFng Vi\u1EC7t",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)",MathProcessingError:"L\u1ED7i x\u1EED l\u00FD to\u00E1n",MathError:"L\u1ED7i to\u00E1n",LoadFile:"\u0110ang t\u1EA3i %1",Loading:"\u0110ang t\u1EA3i",LoadFailed:"Th\u1EA5t b\u1EA1i khi t\u1EA3i t\u1EADp tin: %1",ProcessMath:"\u0110ang x\u1EED l\u00FD to\u00E1n: %1%%",Processing:"\u0110ang x\u1EED l\u00FD",TypesetMath:"\u0110ang x\u1EBFp ch\u1EEF to\u00E1n: %1%%",Typesetting:"\u0110ang x\u1EBFp ch\u1EEF",MathJaxNotSupported:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n kh\u00F4ng h\u1ED7 tr\u1EE3 MathJax",ErrorTips:"M\u1EB9o v\u1EB7t g\u1EE1 l\u1ED7i: s\u1EED d\u1EE5ng %%1, ki\u1EC3m tra %%2 trong b\u1EA3ng \u0111i\u1EC1u khi\u1EC3n c\u1EE7a tr\u00ECnh duy\u1EC7t"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/vi.js"); +MathJax.Localization.addTranslation("vi",null,{menuTitle:"Ti\u1EBFng Vi\u1EC7t",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)",MathProcessingError:"L\u1ED7i x\u1EED l\u00FD to\u00E1n",MathError:"L\u1ED7i to\u00E1n",LoadFile:"\u0110ang t\u1EA3i %1",Loading:"\u0110ang t\u1EA3i",LoadFailed:"Th\u1EA5t b\u1EA1i khi t\u1EA3i t\u1EADp tin: %1",ProcessMath:"\u0110ang x\u1EED l\u00FD to\u00E1n: %1%%",Processing:"\u0110ang x\u1EED l\u00FD",TypesetMath:"\u0110ang x\u1EBFp ch\u1EEF to\u00E1n: %1%%",Typesetting:"\u0110ang x\u1EBFp ch\u1EEF",MathJaxNotSupported:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n kh\u00F4ng h\u1ED7 tr\u1EE3 MathJax",ErrorTips:"M\u1EB9o v\u1EB7t g\u1EE1 l\u1ED7i: s\u1EED d\u1EE5ng %%1, ki\u1EC3m tra %%2 trong b\u1EA3ng \u0111i\u1EC1u khi\u1EC3n c\u1EE7a tr\u00ECnh duy\u1EC7t"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/vi.js"); diff --git a/localization/zh-hans/FontWarnings.js b/localization/zh-hans/FontWarnings.js index 309c0fe290..e5bb707d7c 100644 --- a/localization/zh-hans/FontWarnings.js +++ b/localization/zh-hans/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",imageFonts:"MathJax\u4F7F\u7528\u56FE\u50CF\u5B57\u4F53\u800C\u4E0D\u662F\u672C\u5730\u6216\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u3002\u8FD9\u5C06\u6BD4\u5E73\u5E38\u663E\u793A\u66F4\u6162\uFF0C\u4E14\u76F8\u5173\u6570\u5B66\u7B26\u53F7\u53EF\u80FD\u65E0\u6CD5\u5168\u606F\u7684\u88AB\u6253\u5370\u673A\u6253\u5370\u3002",noFonts:"MathJax\u65E0\u6CD5\u5B9A\u4F4D\u60A8\u4F7F\u7528\u4E2D\u7684\u5B57\u4F53\u4EE5\u663E\u793A\u6570\u5B66\u7B26\u53F7\uFF0C\u56FE\u50CF\u5B57\u4F53\u4EA6\u65E0\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6211\u4EEC\u4E0D\u5F97\u4E0D\u8C03\u7528Unicode\u5B57\u7B26\u4EE5\u663E\u793A\u4E4B\u3002\u67D0\u4E9B\u5B57\u7B26\u5C06\u65E0\u6CD5\u6B63\u786E\u663E\u793A\uFF0C\u4E43\u81F3\u5F7B\u5E95\u65E0\u6CD5\u663E\u793A\u3002",webFonts:"\u73B0\u65F6\u5927\u591A\u6570\u6D4F\u89C8\u5668\u5141\u8BB8\u901A\u8FC7\u4E92\u8054\u7F51\u4E0B\u8F7D\u5B57\u4F53\u3002\u66F4\u65B0\u60A8\u7684\u6D4F\u89C8\u5668\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u8005\u5E72\u8106\u66F4\u6362\u6D4F\u89C8\u5668\uFF09\u4EE5\u4FBF\u5728\u6B64\u9875\u9762\u63D0\u9AD8\u6570\u5B66\u7B26\u53F7\u7684\u663E\u793A\u8D28\u91CF\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216\u8005[MathJax TeX fonts](%2)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u8FD9\u4E9B\u5B57\u4F53\u4EE5\u6539\u5584\u60A8\u7684MathJax\u4F53\u9A8C\u3002",STIXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002",TeXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/FontWarnings.js"); +MathJax.Localization.addTranslation("zh-hans","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",imageFonts:"MathJax\u4F7F\u7528\u56FE\u50CF\u5B57\u4F53\u800C\u4E0D\u662F\u672C\u5730\u6216\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u3002\u8FD9\u5C06\u6BD4\u5E73\u5E38\u663E\u793A\u66F4\u6162\uFF0C\u4E14\u76F8\u5173\u6570\u5B66\u7B26\u53F7\u53EF\u80FD\u65E0\u6CD5\u5168\u606F\u7684\u88AB\u6253\u5370\u673A\u6253\u5370\u3002",noFonts:"MathJax\u65E0\u6CD5\u5B9A\u4F4D\u60A8\u4F7F\u7528\u4E2D\u7684\u5B57\u4F53\u4EE5\u663E\u793A\u6570\u5B66\u7B26\u53F7\uFF0C\u56FE\u50CF\u5B57\u4F53\u4EA6\u65E0\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6211\u4EEC\u4E0D\u5F97\u4E0D\u8C03\u7528Unicode\u5B57\u7B26\u4EE5\u663E\u793A\u4E4B\u3002\u67D0\u4E9B\u5B57\u7B26\u5C06\u65E0\u6CD5\u6B63\u786E\u663E\u793A\uFF0C\u4E43\u81F3\u5F7B\u5E95\u65E0\u6CD5\u663E\u793A\u3002",webFonts:"\u73B0\u65F6\u5927\u591A\u6570\u6D4F\u89C8\u5668\u5141\u8BB8\u901A\u8FC7\u4E92\u8054\u7F51\u4E0B\u8F7D\u5B57\u4F53\u3002\u66F4\u65B0\u60A8\u7684\u6D4F\u89C8\u5668\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u8005\u5E72\u8106\u66F4\u6362\u6D4F\u89C8\u5668\uFF09\u4EE5\u4FBF\u5728\u6B64\u9875\u9762\u63D0\u9AD8\u6570\u5B66\u7B26\u53F7\u7684\u663E\u793A\u8D28\u91CF\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216\u8005[MathJax TeX fonts](%2)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u8FD9\u4E9B\u5B57\u4F53\u4EE5\u6539\u5584\u60A8\u7684MathJax\u4F53\u9A8C\u3002",STIXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002",TeXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/FontWarnings.js"); diff --git a/localization/zh-hans/HTML-CSS.js b/localization/zh-hans/HTML-CSS.js index 1ce3ce6a7e..6688934e36 100644 --- a/localization/zh-hans/HTML-CSS.js +++ b/localization/zh-hans/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u52A0\u8F7Dweb\u5B57\u4F53%1",CantLoadWebFont:"Web\u5B57\u4F53%1\u65E0\u6CD5\u52A0\u8F7D",FirefoxCantLoadWebFont:"\u60A8\u5728\u4F7F\u7528\u706B\u72D0\u6D4F\u89C8\u5668\uFF0C\u5979\u4E0D\u652F\u6301\u4ECE\u8FDC\u7A0B\u4E3B\u673A\u4E0B\u8F7D\u4EFB\u4F55web\u5B57\u4F53",CantFindFontUsing:"\u65E0\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u4F53",WebFontsNotAvailable:"Web\u5B57\u4F53\u4E0D\u77E5\u4E3A\u4F55\u65E0\u6CD5\u4F7F\u7528\uFF1F\uFF01\u2014\u2014\u6211\u4EEC\u5C06\u4E3A\u9601\u4E0B\u8F6C\u6362\u4E3A\u56FE\u7247\u5B57\u4F53"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HTML-CSS.js"); +MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u52A0\u8F7Dweb\u5B57\u4F53%1",CantLoadWebFont:"Web\u5B57\u4F53%1\u65E0\u6CD5\u52A0\u8F7D",FirefoxCantLoadWebFont:"\u60A8\u5728\u4F7F\u7528\u706B\u72D0\u6D4F\u89C8\u5668\uFF0C\u5979\u4E0D\u652F\u6301\u4ECE\u8FDC\u7A0B\u4E3B\u673A\u4E0B\u8F7D\u4EFB\u4F55web\u5B57\u4F53",CantFindFontUsing:"\u65E0\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u4F53",WebFontsNotAvailable:"Web\u5B57\u4F53\u4E0D\u77E5\u4E3A\u4F55\u65E0\u6CD5\u4F7F\u7528\uFF1F\uFF01\u2014\u2014\u6211\u4EEC\u5C06\u4E3A\u9601\u4E0B\u8F6C\u6362\u4E3A\u56FE\u7247\u5B57\u4F53"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HTML-CSS.js"); diff --git a/localization/zh-hans/HelpDialog.js b/localization/zh-hans/HelpDialog.js index c3804affbc..8c7b4cdc38 100644 --- a/localization/zh-hans/HelpDialog.js +++ b/localization/zh-hans/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"MathJax\u5E2E\u52A9",MathJax:"*MathJax*\u662F\u4E00\u79CD\u8BA9\u7F51\u9875\u5236\u4F5C\u8005\u5F80\u7F51\u9875\u4E2D\u52A0\u5165\u6570\u5B66\u5F0F\u7684JavaScript\u8FD0\u884C\u5E93\u3002\u4F5C\u4E3A\u8BFB\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u505A\u4EFB\u4F55\u4F7F\u5176\u51FA\u73B0\u7684\u4E8B\u60C5\u3002",Browsers:"*\u6D4F\u89C8\u5668*\uFF1AMathJax\u53EF\u4EE5\u5728\u6240\u6709\u8F83\u65B0\u6D4F\u89C8\u5668\u4E0A\u5DE5\u4F5C\uFF0C\u5305\u62ECIE6+\u3001Firefox 3+\u3001Chrome 0.2+\u3001Safari 2+\u3001Opera 9.6+\u548C\u5927\u591A\u6570\u79FB\u52A8\u6D4F\u89C8\u5668\u3002",Menu:"*\u6570\u5F0F\u83DC\u5355*\uFF1AMathJax\u7ED9\u6570\u5F0F\u6DFB\u52A0\u4E86\u5FEB\u6377\u83DC\u5355\u3002\u53F3\u952E\u6216\u6309Ctrl\u7136\u540E\u70B9\u51FB\u4EFB\u4F55\u6570\u5F0F\u5373\u53EF\u8FDB\u5165\u83DC\u5355\u3002",ShowMath:"*\u6570\u5F0F\u663E\u793A\u5F62\u5F0F*\u5141\u8BB8\u60A8\u6D4F\u89C8\u516C\u5F0F\u7684\u6E90\u4EE3\u7801\u4EE5\u4FBF\u590D\u5236\u7C98\u8D34\uFF08\u4EE5\u539F\u59CB\u5F62\u5F0F\u6216MathML\uFF09\u3002",Settings:"*\u6570\u5B66\u8BBE\u7F6E*\u91CC\u60A8\u60A8\u53EF\u4EE5\u8C03\u6574MathJax\u7684\u5404\u79CD\u529F\u80FD\uFF0C\u6BD4\u5982\u8BF4\u6570\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u663E\u793A\u7B49\u5F0F\u7684\u673A\u7406\u3002",Language:"*\u8BED\u8A00*\u7ED9\u60A8\u9009\u62E9MathJax\u7528\u4F5C\u83DC\u5355\u548C\u8B66\u544A\u4FE1\u606F\u7684\u8BED\u8A00\u3002",Zoom:"*\u6570\u5F0F\u7F29\u653E*\uFF1A\u5982\u679C\u60A8\u6D4F\u89C8\u7B49\u5F0F\u65F6\u9047\u5230\u56F0\u96BE\uFF0CMathJax\u53EF\u4EE5\u5C06\u5176\u653E\u5927\u6765\u4F7F\u60A8\u83B7\u5F97\u66F4\u597D\u7684\u4F53\u9A8C\u3002",Accessibilty:"*\u8F85\u52A9\u529F\u80FD*\uFF1AMathJax\u4F1A\u81EA\u52A8\u4E0E\u8BBF\u95EE\u8005\u4EA4\u4E92\u4F7F\u89C6\u89C9\u969C\u788D\u8005\u7406\u89E3\u6570\u5F0F\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u4F53*\uFF1AMathJax\u5C06\u4F1A\u4F7F\u7528\u60A8\u7535\u8111\u4E0A\u5B89\u88C5\u7684\u67D0\u4E9B\u6570\u5F0F\u5B57\u4F53\u6765\u663E\u793A\u6570\u5F0F\uFF1B\u5982\u679C\u6CA1\u6709\u5B89\u88C5\u7684\u8BDD\uFF0C\u5B83\u5C06\u4F7F\u7528\u7F51\u7EDC\u4E0A\u7684\u5B57\u4F53\u3002\u867D\u7136\u5E76\u975E\u5FC5\u8981\uFF0C\u4F46\u662F\u5C06\u8FD9\u4E9B\u5B57\u4F53\u5B89\u88C5\u5230\u672C\u5730\u80FD\u52A0\u901F\u6570\u5F0F\u7684\u663E\u793A\u3002\u6211\u4EEC\u5EFA\u8BAE\u60A8\u5B89\u88C5[STIX fonts](%1)\u3002",CloseDialog:"\u5173\u95ED\u5E2E\u52A9\u5BF9\u8BDD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HelpDialog.js"); +MathJax.Localization.addTranslation("zh-hans","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax\u5E2E\u52A9",MathJax:"*MathJax*\u662F\u4E00\u79CD\u8BA9\u7F51\u9875\u5236\u4F5C\u8005\u5F80\u7F51\u9875\u4E2D\u52A0\u5165\u6570\u5B66\u5F0F\u7684JavaScript\u8FD0\u884C\u5E93\u3002\u4F5C\u4E3A\u8BFB\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u505A\u4EFB\u4F55\u4F7F\u5176\u51FA\u73B0\u7684\u4E8B\u60C5\u3002",Browsers:"*\u6D4F\u89C8\u5668*\uFF1AMathJax\u53EF\u4EE5\u5728\u6240\u6709\u8F83\u65B0\u6D4F\u89C8\u5668\u4E0A\u5DE5\u4F5C\uFF0C\u5305\u62ECIE6+\u3001Firefox 3+\u3001Chrome 0.2+\u3001Safari 2+\u3001Opera 9.6+\u548C\u5927\u591A\u6570\u79FB\u52A8\u6D4F\u89C8\u5668\u3002",Menu:"*\u6570\u5F0F\u83DC\u5355*\uFF1AMathJax\u7ED9\u6570\u5F0F\u6DFB\u52A0\u4E86\u5FEB\u6377\u83DC\u5355\u3002\u53F3\u952E\u6216\u6309Ctrl\u7136\u540E\u70B9\u51FB\u4EFB\u4F55\u6570\u5F0F\u5373\u53EF\u8FDB\u5165\u83DC\u5355\u3002",ShowMath:"*\u6570\u5F0F\u663E\u793A\u5F62\u5F0F*\u5141\u8BB8\u60A8\u6D4F\u89C8\u516C\u5F0F\u7684\u6E90\u4EE3\u7801\u4EE5\u4FBF\u590D\u5236\u7C98\u8D34\uFF08\u4EE5\u539F\u59CB\u5F62\u5F0F\u6216MathML\uFF09\u3002",Settings:"*\u6570\u5B66\u8BBE\u7F6E*\u91CC\u60A8\u60A8\u53EF\u4EE5\u8C03\u6574MathJax\u7684\u5404\u79CD\u529F\u80FD\uFF0C\u6BD4\u5982\u8BF4\u6570\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u663E\u793A\u7B49\u5F0F\u7684\u673A\u7406\u3002",Language:"*\u8BED\u8A00*\u7ED9\u60A8\u9009\u62E9MathJax\u7528\u4F5C\u83DC\u5355\u548C\u8B66\u544A\u4FE1\u606F\u7684\u8BED\u8A00\u3002",Zoom:"*\u6570\u5F0F\u7F29\u653E*\uFF1A\u5982\u679C\u60A8\u6D4F\u89C8\u7B49\u5F0F\u65F6\u9047\u5230\u56F0\u96BE\uFF0CMathJax\u53EF\u4EE5\u5C06\u5176\u653E\u5927\u6765\u4F7F\u60A8\u83B7\u5F97\u66F4\u597D\u7684\u4F53\u9A8C\u3002",Accessibilty:"*\u8F85\u52A9\u529F\u80FD*\uFF1AMathJax\u4F1A\u81EA\u52A8\u4E0E\u8BBF\u95EE\u8005\u4EA4\u4E92\u4F7F\u89C6\u89C9\u969C\u788D\u8005\u7406\u89E3\u6570\u5F0F\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u4F53*\uFF1AMathJax\u5C06\u4F1A\u4F7F\u7528\u60A8\u7535\u8111\u4E0A\u5B89\u88C5\u7684\u67D0\u4E9B\u6570\u5F0F\u5B57\u4F53\u6765\u663E\u793A\u6570\u5F0F\uFF1B\u5982\u679C\u6CA1\u6709\u5B89\u88C5\u7684\u8BDD\uFF0C\u5B83\u5C06\u4F7F\u7528\u7F51\u7EDC\u4E0A\u7684\u5B57\u4F53\u3002\u867D\u7136\u5E76\u975E\u5FC5\u8981\uFF0C\u4F46\u662F\u5C06\u8FD9\u4E9B\u5B57\u4F53\u5B89\u88C5\u5230\u672C\u5730\u80FD\u52A0\u901F\u6570\u5F0F\u7684\u663E\u793A\u3002\u6211\u4EEC\u5EFA\u8BAE\u60A8\u5B89\u88C5[STIX fonts](%1)\u3002",CloseDialog:"\u5173\u95ED\u5E2E\u52A9\u5BF9\u8BDD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HelpDialog.js"); diff --git a/localization/zh-hans/MathML.js b/localization/zh-hans/MathML.js index 25ed500d8c..bc11bfa2d0 100644 --- a/localization/zh-hans/MathML.js +++ b/localization/zh-hans/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",BadMglyphFont:"\u9519\u8BEF\u5B57\u4F53\uFF1A%1",MathPlayer:"MathJax\u65E0\u6CD5\u542F\u7528MathPlayer\u3002\n\n\u5982\u679C\u8FD8\u6CA1\u6709\u5B89\u88C5MathPlayer\uFF0C\u60A8\u5FC5\u987B\u5148\u5B89\u88C5MathPlayer\u3002\u5982\u679C\u60A8\u7684\u5B89\u5168\u8BBE\u7F6E\u6709\u53EF\u80FD\u4F1A\u963B\u6B62ActiveX\u7684\u8FD0\u884C\uFF0C\u8BF7\u5728\u5DE5\u5177\u83DC\u5355\u4E0B\u7684Internet \u9009\u9879\u4E2D\u9009\u62E9\u5B89\u5168\u6807\u7B7E\u7136\u540E\u70B9\u51FB\u81EA\u5B9A\u4E49\u7EA7\u522B\uFF0C\u68C0\u67E5\u201C\u4E8C\u8FDB\u5236\u6587\u4EF6\u548C\u811A\u672C\u884C\u4E3A\u201D\u548C\u201C\u8FD0\u884C ActiveX \u63A7\u4EF6\u201D\u662F\u5426\u5DF2\u542F\u7528\u3002\n\n\u76EE\u524D\u60A8\u770B\u5230\u7684\u53EA\u80FD\u662F\u9519\u8BEF\u4FE1\u606F\u800C\u975E\u6392\u7248\u6570\u5F0F\u3002",CantCreateXMLParser:"MathJax\u65E0\u6CD5\u4E3AMathML\u521B\u5EFAXML\u89E3\u6790\u5668\u3002\u8BF7\u68C0\u67E5\u5B89\u5168\u8BBE\u7F6E\n\u201C\u5BF9\u6807\u8BB0\u4E3A\u53EF\u5B89\u5168\u6267\u884C\u811A\u672C\u7684 Active \u63A7\u4EF6\u6267\u884C\u811A\u672C\u201D\n\u662F\u5426\u5DF2\u5F00\u542F\uFF08\u5728\u5DE5\u5177\u4E2D\u5F00\u542FInternet \u9009\u9879\u7136\u540E\u9009\u62E9\u5B89\u5168\n\u9762\u677F\uFF0C\u70B9\u81EA\u5B9A\u4E49\u7EA7\u522B\u6309\u94AE\u627E\u5230\u8FD9\u4E2A\u9009\u9879\u5E76\u5F00\u542F\uFF09\u3002\n\nMathJax\u5C06\u65E0\u6CD5\u5904\u7406MathML\u7B49\u5F0F",UnknownNodeType:"\u672A\u77E5\u7684\u8282\u70B9\u7C7B\u578B\uFF1A%1",UnexpectedTextNode:"\u610F\u5916\u7684\u6587\u672C\u8282\u70B9\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u65F6\u51FA\u9519",ParsingError:"\u89E3\u6790MathML\u65F6\u51FA\u9519\uFF1A%1",MathMLSingleElement:"MathML\u5FC5\u987B\u7528\u5355\u4E2A\u5143\u7D20\u5EFA\u7ACB",MathMLRootElement:"MathML\u5FC5\u987B\u7528\u003Cmath\u003E\u5143\u7D20\u5EFA\u7ACB\uFF0C\u800C\u4E0D\u662F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathML.js"); +MathJax.Localization.addTranslation("zh-hans","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",BadMglyphFont:"\u9519\u8BEF\u5B57\u4F53\uFF1A%1",MathPlayer:"MathJax\u65E0\u6CD5\u542F\u7528MathPlayer\u3002\n\n\u5982\u679C\u8FD8\u6CA1\u6709\u5B89\u88C5MathPlayer\uFF0C\u60A8\u5FC5\u987B\u5148\u5B89\u88C5MathPlayer\u3002\u5982\u679C\u60A8\u7684\u5B89\u5168\u8BBE\u7F6E\u6709\u53EF\u80FD\u4F1A\u963B\u6B62ActiveX\u7684\u8FD0\u884C\uFF0C\u8BF7\u5728\u5DE5\u5177\u83DC\u5355\u4E0B\u7684Internet \u9009\u9879\u4E2D\u9009\u62E9\u5B89\u5168\u6807\u7B7E\u7136\u540E\u70B9\u51FB\u81EA\u5B9A\u4E49\u7EA7\u522B\uFF0C\u68C0\u67E5\u201C\u4E8C\u8FDB\u5236\u6587\u4EF6\u548C\u811A\u672C\u884C\u4E3A\u201D\u548C\u201C\u8FD0\u884C ActiveX \u63A7\u4EF6\u201D\u662F\u5426\u5DF2\u542F\u7528\u3002\n\n\u76EE\u524D\u60A8\u770B\u5230\u7684\u53EA\u80FD\u662F\u9519\u8BEF\u4FE1\u606F\u800C\u975E\u6392\u7248\u6570\u5F0F\u3002",CantCreateXMLParser:"MathJax\u65E0\u6CD5\u4E3AMathML\u521B\u5EFAXML\u89E3\u6790\u5668\u3002\u8BF7\u68C0\u67E5\u5B89\u5168\u8BBE\u7F6E\n\u201C\u5BF9\u6807\u8BB0\u4E3A\u53EF\u5B89\u5168\u6267\u884C\u811A\u672C\u7684 Active \u63A7\u4EF6\u6267\u884C\u811A\u672C\u201D\n\u662F\u5426\u5DF2\u5F00\u542F\uFF08\u5728\u5DE5\u5177\u4E2D\u5F00\u542FInternet \u9009\u9879\u7136\u540E\u9009\u62E9\u5B89\u5168\n\u9762\u677F\uFF0C\u70B9\u81EA\u5B9A\u4E49\u7EA7\u522B\u6309\u94AE\u627E\u5230\u8FD9\u4E2A\u9009\u9879\u5E76\u5F00\u542F\uFF09\u3002\n\nMathJax\u5C06\u65E0\u6CD5\u5904\u7406MathML\u7B49\u5F0F",UnknownNodeType:"\u672A\u77E5\u7684\u8282\u70B9\u7C7B\u578B\uFF1A%1",UnexpectedTextNode:"\u610F\u5916\u7684\u6587\u672C\u8282\u70B9\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u65F6\u51FA\u9519",ParsingError:"\u89E3\u6790MathML\u65F6\u51FA\u9519\uFF1A%1",MathMLSingleElement:"MathML\u5FC5\u987B\u7528\u5355\u4E2A\u5143\u7D20\u5EFA\u7ACB",MathMLRootElement:"MathML\u5FC5\u987B\u7528\u003Cmath\u003E\u5143\u7D20\u5EFA\u7ACB\uFF0C\u800C\u4E0D\u662F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathML.js"); diff --git a/localization/zh-hans/MathMenu.js b/localization/zh-hans/MathMenu.js index c76237d8dd..c3c8cf32f2 100644 --- a/localization/zh-hans/MathMenu.js +++ b/localization/zh-hans/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u7801",OriginalMathML:"\u539F\u59CB\u7684MathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F93\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u9519\u8BEF\u4FE1\u606F",Annotation:"\u6CE8\u91CA",TeX:"TeX",StarMath:"StarMath",Maple:"\u67AB\u53F6",ContentMathML:"MathML\u5185\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u4E2D\u663E\u793ATeX\u63D0\u793A",Settings:"\u6570\u5B66\u8BBE\u7F6E",ZoomTrigger:"\u7F29\u653E\u89E6\u53D1",Hover:"\u6307\u9488\u60AC\u505C",Click:"\u70B9\u51FB",DoubleClick:"\u53CC\u51FB",NoZoom:"\u5E76\u65E0\u7F29\u653E",TriggerRequires:"\u89E6\u53D1\u9700\u8981\uFF1A",Option:"\u9009\u9879",Alt:"Alt\u952E",Command:"Command\u952E",Control:"Ctrl\u952E",Shift:"Shift\u952E",ZoomFactor:"\u53D8\u7126\u500D\u7387",Renderer:"\u6570\u5B66\u6E32\u67D3",MPHandles:"\u5141\u8BB8MathPlayer\u5904\u7406\uFF1A",MenuEvents:"\u83DC\u5355\u4E8B\u4EF6",MouseEvents:"\u9F20\u6807\u4E8B\u4EF6",MenuAndMouse:"\u9F20\u6807\u548C\u83DC\u5355\u4E8B\u4EF6",FontPrefs:"\u5B57\u4F53\u8BBE\u7F6E",ForHTMLCSS:"\u7528\u4E8EHTML-CSS\uFF1A",Auto:"\u81EA\u52A8",TeXLocal:"TeX\uFF08\u672C\u5730\uFF09",TeXWeb:"TeX\uFF08\u7F51\u9875\uFF09",TeXImage:"TeX\uFF08\u56FE\u7247\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08web\uFF09",LatinModernWeb:"\u62C9\u4E01\u6469\u767B\uFF08web\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u83DC\u5355",Browser:"\u6D4F\u89C8\u5668",Scale:"\u7F29\u653E\u6240\u6709\u6570\u5B66...",Discoverable:"\u60AC\u505C\u4EAE\u70B9",Locale:"\u8BED\u8A00",LoadLocale:"\u4ECEURL\u8F7D\u5165...",About:"\u5173\u4E8EMathJax",Help:"MathJax\u5E2E\u52A9",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u4F53",webTeXfonts:"\u4F7F\u7528\u7F51\u9875TeX\u5B57\u4F53",imagefonts:"\u56FE\u50CF\u5B57\u4F53\u4F7F\u7528\u4E2D",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u4F53",webSVGfonts:"\u4F7F\u7528\u7F51\u9875SVG\u5B57\u4F53",genericfonts:"\u4F7F\u7528\u901A\u7528Unicode\u5B57\u4F53",wofforotffonts:"woff\u6216otf\u5B57\u4F53",eotffonts:"eot\u5B57\u4F53",svgfonts:"svg\u5B57\u4F53",WebkitNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u636E\u4FE1\u65E0\u6CD5\u652F\u6301MathML\u672C\u8EAB\uFF0C\u56E0\u6B64\u5207\u6362\u5230MathML\u8F93\u51FA\u5C06\u53EF\u80FD\u5BFC\u81F4\u9875\u9762\u4E0A\u7684\u6570\u5B66\u516C\u5F0F\u4E0D\u53EF\u8BFB\u3002",MSIENativeMMLWarning:"Internet Explorer\u9700\u8981MathPlayer\u63D2\u4EF6\u6765\u5904\u7406MathML\u8F93\u51FA\u3002",OperaNativeMMLWarning:"Opera\u5BF9MathML\u7684\u652F\u6301\u5341\u5206\u6709\u9650\uFF0C\u56E0\u6B64\u8F6C\u6362\u81F3MathML\u8F93\u51FA\u53EF\u80FD\u4F1A\u5BFC\u81F4\u4E00\u4E9B\u8868\u8FBE\u5F0F\u65E0\u6CD5\u6B63\u5E38\u6E32\u67D3\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",LoadURL:"\u4ECE\u6B64URL\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\uFF1A",BadURL:"URL\u5FC5\u987B\u94FE\u81F3\u5B9A\u4E49MathJax\u7FFB\u8BD1\u6570\u636E\u7684JavaScript\u6587\u4EF6\u3002JavaScript\u7684\u6587\u4EF6\u540D\u5E94\u4EE5\u201C.js\u201D\u7ED3\u5C3E",BadData:"\u4ECE%1\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\u5931\u8D25",SwitchAnyway:"\u4E00\u5B9A\u8981\u66F4\u6539\u6E32\u67D3\u5668\uFF1F\n\n\uFF08\u70B9OK\u66F4\u6539\uFF0C\u70B9\u53D6\u6D88\u5373\u4EE5\u5F53\u524D\u6E32\u67D3\u5668\u7EE7\u7EED\uFF09",ScaleMath:"\u6570\u5F0F\u7F29\u653E\u767E\u5206\u6BD4\uFF08\u5BF9\u6BD4\u4E8E\u65C1\u8FB9\u7684\u6587\u5B57\uFF09",NonZeroScale:"\u500D\u7387\u4E0D\u5E94\u4E3A\u96F6",PercentScale:"\u500D\u7387\u5E94\u8BE5\u662F\u4E00\u4E2A\u767E\u5206\u6BD4 \uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u8FD9\u5C06\u5173\u95EDMathJax\u83DC\u5355\u4E0E\u7F29\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u70B9\u51FBAlt-Click\u6216\u70B9\u51FB\u4E00\u4E2A\u8868\u8FBE\u5F0F\u6765\u8FDB\u5165MathJax\u83DC\u5355\u3002\n\n\u786E\u5B9E\u8981\u66F4\u6539MathPlayer\u8BBE\u7F6E\u5417\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u83DC\u5355\u5C06\u5173\u95ED\uFF0C\u4F46\u60A8\u53EF\u4EE5\u6309Alt\u5E76\u70B9\u51FB\u8868\u8FBE\u5F0F\u6765\u547C\u51FA\u83DC\u5355\u3002",NoOriginalForm:"\u6CA1\u6709\u53EF\u7528\u7684\u539F\u59CB\u5F62\u5F0F",Close:"\u5173\u95ED",EqSource:"MathJax \u65B9\u7A0B\u6E90",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",NeoEulerWeb:"Neo Euler (web)",MSIESVGWarning:"SVG\u5728 IE9 \u4E4B\u524D\u7684 Internet Explorer \u6216\u4F7F\u7528 IE8 \u53CA\u4EE5\u4E0B\u67B6\u6784\u7684\u6D4F\u89C8\u5668\u4E2D\u4E0D\u6267\u884C\u3002\u8F6C\u6362SVG\u8F93\u51FA\u5C06\u5BFC\u81F4\u6570\u5B66\u516C\u5F0F\u4E0D\u80FD\u6B63\u5E38\u663E\u793A\u3002",CloseAboutDialog:"\u5173\u95ED\u6709\u5173MathJax\u5BF9\u8BDD",FastPreview:"\u5FEB\u901F\u9884\u89C8",AssistiveMML:"\u8F85\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6807\u7B7E\u987A\u5E8F\u4E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathMenu.js"); +MathJax.Localization.addTranslation("zh-hans","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u7801",OriginalMathML:"\u539F\u59CB\u7684MathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F93\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u9519\u8BEF\u4FE1\u606F",Annotation:"\u6CE8\u91CA",TeX:"TeX",StarMath:"StarMath",Maple:"\u67AB\u53F6",ContentMathML:"MathML\u5185\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u4E2D\u663E\u793ATeX\u63D0\u793A",Settings:"\u6570\u5B66\u8BBE\u7F6E",ZoomTrigger:"\u7F29\u653E\u89E6\u53D1",Hover:"\u6307\u9488\u60AC\u505C",Click:"\u70B9\u51FB",DoubleClick:"\u53CC\u51FB",NoZoom:"\u5E76\u65E0\u7F29\u653E",TriggerRequires:"\u89E6\u53D1\u9700\u8981\uFF1A",Option:"\u9009\u9879",Alt:"Alt\u952E",Command:"Command\u952E",Control:"Ctrl\u952E",Shift:"Shift\u952E",ZoomFactor:"\u53D8\u7126\u500D\u7387",Renderer:"\u6570\u5B66\u6E32\u67D3",MPHandles:"\u5141\u8BB8MathPlayer\u5904\u7406\uFF1A",MenuEvents:"\u83DC\u5355\u4E8B\u4EF6",MouseEvents:"\u9F20\u6807\u4E8B\u4EF6",MenuAndMouse:"\u9F20\u6807\u548C\u83DC\u5355\u4E8B\u4EF6",FontPrefs:"\u5B57\u4F53\u8BBE\u7F6E",ForHTMLCSS:"\u7528\u4E8EHTML-CSS\uFF1A",Auto:"\u81EA\u52A8",TeXLocal:"TeX\uFF08\u672C\u5730\uFF09",TeXWeb:"TeX\uFF08\u7F51\u9875\uFF09",TeXImage:"TeX\uFF08\u56FE\u7247\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08web\uFF09",LatinModernWeb:"\u62C9\u4E01\u6469\u767B\uFF08web\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u83DC\u5355",Browser:"\u6D4F\u89C8\u5668",Scale:"\u7F29\u653E\u6240\u6709\u6570\u5B66...",Discoverable:"\u60AC\u505C\u4EAE\u70B9",Locale:"\u8BED\u8A00",LoadLocale:"\u4ECEURL\u8F7D\u5165...",About:"\u5173\u4E8EMathJax",Help:"MathJax\u5E2E\u52A9",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u4F53",webTeXfonts:"\u4F7F\u7528\u7F51\u9875TeX\u5B57\u4F53",imagefonts:"\u56FE\u50CF\u5B57\u4F53\u4F7F\u7528\u4E2D",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u4F53",webSVGfonts:"\u4F7F\u7528\u7F51\u9875SVG\u5B57\u4F53",genericfonts:"\u4F7F\u7528\u901A\u7528Unicode\u5B57\u4F53",wofforotffonts:"woff\u6216otf\u5B57\u4F53",eotffonts:"eot\u5B57\u4F53",svgfonts:"svg\u5B57\u4F53",WebkitNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u636E\u4FE1\u65E0\u6CD5\u652F\u6301MathML\u672C\u8EAB\uFF0C\u56E0\u6B64\u5207\u6362\u5230MathML\u8F93\u51FA\u5C06\u53EF\u80FD\u5BFC\u81F4\u9875\u9762\u4E0A\u7684\u6570\u5B66\u516C\u5F0F\u4E0D\u53EF\u8BFB\u3002",MSIENativeMMLWarning:"Internet Explorer\u9700\u8981MathPlayer\u63D2\u4EF6\u6765\u5904\u7406MathML\u8F93\u51FA\u3002",OperaNativeMMLWarning:"Opera\u5BF9MathML\u7684\u652F\u6301\u5341\u5206\u6709\u9650\uFF0C\u56E0\u6B64\u8F6C\u6362\u81F3MathML\u8F93\u51FA\u53EF\u80FD\u4F1A\u5BFC\u81F4\u4E00\u4E9B\u8868\u8FBE\u5F0F\u65E0\u6CD5\u6B63\u5E38\u6E32\u67D3\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",LoadURL:"\u4ECE\u6B64URL\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\uFF1A",BadURL:"URL\u5FC5\u987B\u94FE\u81F3\u5B9A\u4E49MathJax\u7FFB\u8BD1\u6570\u636E\u7684JavaScript\u6587\u4EF6\u3002JavaScript\u7684\u6587\u4EF6\u540D\u5E94\u4EE5\u201C.js\u201D\u7ED3\u5C3E",BadData:"\u4ECE%1\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\u5931\u8D25",SwitchAnyway:"\u4E00\u5B9A\u8981\u66F4\u6539\u6E32\u67D3\u5668\uFF1F\n\n\uFF08\u70B9OK\u66F4\u6539\uFF0C\u70B9\u53D6\u6D88\u5373\u4EE5\u5F53\u524D\u6E32\u67D3\u5668\u7EE7\u7EED\uFF09",ScaleMath:"\u6570\u5F0F\u7F29\u653E\u767E\u5206\u6BD4\uFF08\u5BF9\u6BD4\u4E8E\u65C1\u8FB9\u7684\u6587\u5B57\uFF09",NonZeroScale:"\u500D\u7387\u4E0D\u5E94\u4E3A\u96F6",PercentScale:"\u500D\u7387\u5E94\u8BE5\u662F\u4E00\u4E2A\u767E\u5206\u6BD4 \uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u8FD9\u5C06\u5173\u95EDMathJax\u83DC\u5355\u4E0E\u7F29\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u70B9\u51FBAlt-Click\u6216\u70B9\u51FB\u4E00\u4E2A\u8868\u8FBE\u5F0F\u6765\u8FDB\u5165MathJax\u83DC\u5355\u3002\n\n\u786E\u5B9E\u8981\u66F4\u6539MathPlayer\u8BBE\u7F6E\u5417\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u83DC\u5355\u5C06\u5173\u95ED\uFF0C\u4F46\u60A8\u53EF\u4EE5\u6309Alt\u5E76\u70B9\u51FB\u8868\u8FBE\u5F0F\u6765\u547C\u51FA\u83DC\u5355\u3002",NoOriginalForm:"\u6CA1\u6709\u53EF\u7528\u7684\u539F\u59CB\u5F62\u5F0F",Close:"\u5173\u95ED",EqSource:"MathJax \u65B9\u7A0B\u6E90",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",NeoEulerWeb:"Neo Euler (web)",MSIESVGWarning:"SVG\u5728 IE9 \u4E4B\u524D\u7684 Internet Explorer \u6216\u4F7F\u7528 IE8 \u53CA\u4EE5\u4E0B\u67B6\u6784\u7684\u6D4F\u89C8\u5668\u4E2D\u4E0D\u6267\u884C\u3002\u8F6C\u6362SVG\u8F93\u51FA\u5C06\u5BFC\u81F4\u6570\u5B66\u516C\u5F0F\u4E0D\u80FD\u6B63\u5E38\u663E\u793A\u3002",CloseAboutDialog:"\u5173\u95ED\u6709\u5173MathJax\u5BF9\u8BDD",FastPreview:"\u5FEB\u901F\u9884\u89C8",AssistiveMML:"\u8F85\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6807\u7B7E\u987A\u5E8F\u4E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathMenu.js"); diff --git a/localization/zh-hans/TeX.js b/localization/zh-hans/TeX.js index c0f3527ae5..b8cdbb6f74 100644 --- a/localization/zh-hans/TeX.js +++ b/localization/zh-hans/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",ExtraCloseMissingOpen:"\u6709\u591A\u4F59\u7684\u53F3\u62EC\u53F7\u6216\u7F3A\u5C11\u5DE6\u62EC\u53F7",MissingLeftExtraRight:"\u4E22\u5931\\left\u6216\u989D\u5916\u51FA\u73B0\\right",MissingScript:"\u6709\u4E0A\u6807\u6216\u4E0B\u6807\u7F3A\u5C11\u53C2\u6570",ExtraLeftMissingRight:"\u989D\u5916\u7684\\left\u6216\u8005\u4E22\u5931\\right",Misplaced:"%1\u88AB\u653E\u7F6E\u4E8E\u9519\u8BEF\u7684\u5730\u65B9",MissingOpenForSub:"\u7F3A\u5C11\u4E0B\u6807\u7684\u5DE6\u62EC\u53F7",MissingOpenForSup:"\u7F3A\u5C11\u4E0A\u6807\u7684\u5DE6\u62EC\u53F7",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u786E",EnvBadEnd:"\\begin{%1}\u7531\\end{%2}\u7ED3\u675F\u4E4B",EnvMissingEnd:"\\end{%1}\u4E22\u5931",MissingBoxFor:"\u7F3A\u5C11\u7528\u4E8E%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u53F7",UndefinedControlSequence:"\u672A\u5B9A\u4E49\u7684\u63A7\u5236\u6570\u5217%1",DoubleExponent:"\u4E24\u4E2A\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6765\u6F84\u6E05",DoubleSubscripts:"\u53CC\u4E0B\u6807\uFF1A\u4F7F\u7528\u62EC\u53F7\u6765\u660E\u786E",CantUseHash1:"\u60A8\u4E0D\u80FD\u5728\u6570\u5B66\u6A21\u5F0F\u4E2D\u4F7F\u7528\u201C\u5B8F\u53C2\u6570\u5B57\u7B26#\u201D",MisplacedMiddle:"%1\u5FC5\u987B\u5728\\left\u548C\\right\u4E4B\u5185",MisplacedLimits:"%1\u53EA\u5141\u8BB8\u5728\u8FD0\u7B97\u7B26\u4E0A",MisplacedMoveRoot:"%1\u53EA\u80FD\u5728\u6839\u4E2D\u51FA\u73B0",MultipleCommand:"\u591A\u79CD%1",IntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6574\u6570",NotMathMLToken:"%1\u4E0D\u662F\u6743\u6807\u5143\u7D20",InvalidMathMLAttr:"\u65E0\u6548MathML\u5C5E\u6027\uFF1A%1",UnknownAttrForElement:"%1\u4E0D\u662F%2\u7684\u5DF2\u8BC6\u522B\u5C5E\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u6700\u5927\u5B8F\u66FF\u4EE3\u6B21\u6570\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",MissingArgFor:"\u4E0E%1\u76F8\u5173\u7684\u53C2\u6570\u7F3A\u5931",InvalidEnv:"\u65E0\u6548\u7684\u73AF\u5883\u540D\u79F0\u201C%1\u201D",UnknownEnv:"\u672A\u77E5\u7684\u73AF\u5883\u53D8\u91CF'%1'",MissingCloseBracket:"\u65E0\u6CD5\u627E\u5230%1\u7684\u53C2\u6570\u7684\u53F3\u201C]\u201D",MissingOrUnrecognizedDelim:"\u627E\u4E0D\u5230\u6216\u65E0\u6CD5\u8BC6\u522B%1\u7684\u5206\u9694\u7B26",MissingDimOrUnits:"\u7F3A\u5C11%1\u7684\u7EF4\u5EA6\u6216\u5176\u5355\u4F4D",TokenNotFoundForCommand:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E%2\u7684%1",MathNotTerminated:"\u6570\u5B66\u5F0F\u5728\u6587\u672C\u6846\u4E2D\u672A\u7ED3\u675F",IllegalMacroParam:"\u975E\u6CD5\u5B8F\u53C2\u6570\u5F15\u7528",MaxBufferSize:"MathJax\u5185\u90E8\u7F13\u51B2\u533A\u5927\u5C0F\u8D85\u9650\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",CommandNotAllowedInEnv:"%1\u5728%2\u73AF\u5883\u4E2D\u4E0D\u5141\u8BB8",IllegalAlign:"\u6307\u5B9A\u7684\u5BF9\u9F50\u65B9\u5F0F%1\u4E0D\u7B26\u7F16\u8F91\u624B\u518C",BadMathStyleFor:"%1\u7684\u6570\u5F0F\u6837\u5F0F\u65E0\u6548",PositiveIntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6B63\u6574\u6570",ErroneousNestingEq:"\u9519\u8BEF\u7684\u65B9\u7A0B\u5D4C\u5957\u7ED3\u6784",MultipleBBoxProperty:"%1\u5728%2\u4E2D\u6307\u5B9A\u4E86\u4E24\u6B21",ExtraEndMissingBegin:"\u6709\u591A\u4F59\u7684%1\u6216\u7F3A\u5C11\\begingroup",UndefinedColorModel:"\u8272\u5F69\u6A21\u5757\u201C%1\u201D\u672A\u5B9A\u4E49",ModelArg1:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u9700\u8981\u4E09\u4E2A\u6570\u5B57",InvalidDecimalNumber:"\u65E0\u6548\u5341\u8FDB\u5236\u6570",ModelArg2:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u5FC5\u987B\u5728%2\u548C%3\u4E4B\u95F4",InvalidNumber:"\u4E0D\u5141\u8BB8\u7684\u6570\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u63A7\u5236\u6570\u5217\u540D\u79F0",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u7531\u9017\u53F7\u5206\u5F00\u7684\u4E24\u4E2A\u6574\u6570",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u4E2A\u53C2\u6570\u5FC5\u987B\u662FUnicode\u5B57\u7B26\u503C",NoClosingChar:"\u672A\u80FD\u627E\u5230\u5173\u95ED\u7684%1",IllegalControlSequenceName:"\u975E\u6CD5\u63A7\u5236\u5E8F\u5217\u540D\u79F0%1",IllegalParamNumber:"%1\u6307\u5B9A\u7684\u53C2\u6570\u6570\u91CF\u975E\u6CD5",MissingCS:"%1\u5FC5\u987B\u8DDF\u7740\u4E00\u4E2A\u63A7\u5236\u5E8F\u5217",CantUseHash2:"%1\u7684\u6A21\u677F\u4E2D\u975E\u6CD5\u4F7F\u7528#",SequentialParam:"%1\u7684\u53C2\u6570\u5FC5\u987B\u987A\u5E8F\u6807\u53F7",MissingReplacementString:"%1\u7684\u5B9A\u4E49\u7F3A\u5C11\u66FF\u6362\u5B57\u7B26\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5176\u5B9A\u4E49",NoClosingDelim:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E\u7ED3\u675F\u7684\u5206\u9694\u7B26%1",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u7684\u6700\u9AD8\u66FF\u4EE3\u6B21\u6570\uFF1B\u96BE\u9053\u5B58\u5728\u5FAA\u73AFLaTeX\u73AF\u5883\uFF1F",MultipleLabel:"\u5DF2\u5B9A\u4E49\u6807\u7B7E\u201C%1\u201D\u4E58",DoubleExponentPrime:"\u89D2\u5206\u7B26\u53F7\u5BFC\u81F4\u53CC\u91CD\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6F84\u6E05",ExtraAlignTab:"\\cases \u6587\u672C\u4E2D\u6709\u989D\u5916\u7684\u53C2\u6570\u5236\u8868\u7B26",BracketMustBeDimension:"%1\u7684\u62EC\u53F7\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u5C3A\u5BF8",ExtraCloseLooking:"\u5BFB\u627E %1 \u65F6\u53D1\u73B0\u4E00\u4E2A\u989D\u5916\u7684\u53F3\u5927\u62EC\u53F7",CommandAtTheBeginingOfLine:"%1\u5FC5\u987B\u4F4D\u4E8E\u884C\u7684\u5F00\u5934",MultlineRowsOneCol:"%1 \u73AF\u5883\u5185\u7684\u884C\u5FC5\u987B\u53EA\u6709\u4E00\u4E2A\u5217",InvalidBBoxProperty:"\u201C%1\u201D\u597D\u50CF\u4E0D\u662F\u4E00\u4E2A\u989C\u8272\u3001\u586B\u5145\u5C3A\u5BF8\u6216\u6837\u5F0F",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u6216\\newcommand\u5141\u8BB8",RunawayArgument:"%1\u7684\u53C2\u6570\u5931\u63A7\u4E86\u4E48\uFF1F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/TeX.js"); +MathJax.Localization.addTranslation("zh-hans","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",ExtraCloseMissingOpen:"\u6709\u591A\u4F59\u7684\u53F3\u62EC\u53F7\u6216\u7F3A\u5C11\u5DE6\u62EC\u53F7",MissingLeftExtraRight:"\u4E22\u5931\\left\u6216\u989D\u5916\u51FA\u73B0\\right",MissingScript:"\u6709\u4E0A\u6807\u6216\u4E0B\u6807\u7F3A\u5C11\u53C2\u6570",ExtraLeftMissingRight:"\u989D\u5916\u7684\\left\u6216\u8005\u4E22\u5931\\right",Misplaced:"%1\u88AB\u653E\u7F6E\u4E8E\u9519\u8BEF\u7684\u5730\u65B9",MissingOpenForSub:"\u7F3A\u5C11\u4E0B\u6807\u7684\u5DE6\u62EC\u53F7",MissingOpenForSup:"\u7F3A\u5C11\u4E0A\u6807\u7684\u5DE6\u62EC\u53F7",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u786E",EnvBadEnd:"\\begin{%1}\u7531\\end{%2}\u7ED3\u675F\u4E4B",EnvMissingEnd:"\\end{%1}\u4E22\u5931",MissingBoxFor:"\u7F3A\u5C11\u7528\u4E8E%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u53F7",UndefinedControlSequence:"\u672A\u5B9A\u4E49\u7684\u63A7\u5236\u6570\u5217%1",DoubleExponent:"\u4E24\u4E2A\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6765\u6F84\u6E05",DoubleSubscripts:"\u53CC\u4E0B\u6807\uFF1A\u4F7F\u7528\u62EC\u53F7\u6765\u660E\u786E",CantUseHash1:"\u60A8\u4E0D\u80FD\u5728\u6570\u5B66\u6A21\u5F0F\u4E2D\u4F7F\u7528\u201C\u5B8F\u53C2\u6570\u5B57\u7B26#\u201D",MisplacedMiddle:"%1\u5FC5\u987B\u5728\\left\u548C\\right\u4E4B\u5185",MisplacedLimits:"%1\u53EA\u5141\u8BB8\u5728\u8FD0\u7B97\u7B26\u4E0A",MisplacedMoveRoot:"%1\u53EA\u80FD\u5728\u6839\u4E2D\u51FA\u73B0",MultipleCommand:"\u591A\u79CD%1",IntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6574\u6570",NotMathMLToken:"%1\u4E0D\u662F\u6743\u6807\u5143\u7D20",InvalidMathMLAttr:"\u65E0\u6548MathML\u5C5E\u6027\uFF1A%1",UnknownAttrForElement:"%1\u4E0D\u662F%2\u7684\u5DF2\u8BC6\u522B\u5C5E\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u6700\u5927\u5B8F\u66FF\u4EE3\u6B21\u6570\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",MissingArgFor:"\u4E0E%1\u76F8\u5173\u7684\u53C2\u6570\u7F3A\u5931",InvalidEnv:"\u65E0\u6548\u7684\u73AF\u5883\u540D\u79F0\u201C%1\u201D",UnknownEnv:"\u672A\u77E5\u7684\u73AF\u5883\u53D8\u91CF'%1'",MissingCloseBracket:"\u65E0\u6CD5\u627E\u5230%1\u7684\u53C2\u6570\u7684\u53F3\u201C]\u201D",MissingOrUnrecognizedDelim:"\u627E\u4E0D\u5230\u6216\u65E0\u6CD5\u8BC6\u522B%1\u7684\u5206\u9694\u7B26",MissingDimOrUnits:"\u7F3A\u5C11%1\u7684\u7EF4\u5EA6\u6216\u5176\u5355\u4F4D",TokenNotFoundForCommand:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E%2\u7684%1",MathNotTerminated:"\u6570\u5B66\u5F0F\u5728\u6587\u672C\u6846\u4E2D\u672A\u7ED3\u675F",IllegalMacroParam:"\u975E\u6CD5\u5B8F\u53C2\u6570\u5F15\u7528",MaxBufferSize:"MathJax\u5185\u90E8\u7F13\u51B2\u533A\u5927\u5C0F\u8D85\u9650\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",CommandNotAllowedInEnv:"%1\u5728%2\u73AF\u5883\u4E2D\u4E0D\u5141\u8BB8",IllegalAlign:"\u6307\u5B9A\u7684\u5BF9\u9F50\u65B9\u5F0F%1\u4E0D\u7B26\u7F16\u8F91\u624B\u518C",BadMathStyleFor:"%1\u7684\u6570\u5F0F\u6837\u5F0F\u65E0\u6548",PositiveIntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6B63\u6574\u6570",ErroneousNestingEq:"\u9519\u8BEF\u7684\u65B9\u7A0B\u5D4C\u5957\u7ED3\u6784",MultipleBBoxProperty:"%1\u5728%2\u4E2D\u6307\u5B9A\u4E86\u4E24\u6B21",ExtraEndMissingBegin:"\u6709\u591A\u4F59\u7684%1\u6216\u7F3A\u5C11\\begingroup",UndefinedColorModel:"\u8272\u5F69\u6A21\u5757\u201C%1\u201D\u672A\u5B9A\u4E49",ModelArg1:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u9700\u8981\u4E09\u4E2A\u6570\u5B57",InvalidDecimalNumber:"\u65E0\u6548\u5341\u8FDB\u5236\u6570",ModelArg2:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u5FC5\u987B\u5728%2\u548C%3\u4E4B\u95F4",InvalidNumber:"\u4E0D\u5141\u8BB8\u7684\u6570\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u63A7\u5236\u6570\u5217\u540D\u79F0",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u7531\u9017\u53F7\u5206\u5F00\u7684\u4E24\u4E2A\u6574\u6570",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u4E2A\u53C2\u6570\u5FC5\u987B\u662FUnicode\u5B57\u7B26\u503C",NoClosingChar:"\u672A\u80FD\u627E\u5230\u5173\u95ED\u7684%1",IllegalControlSequenceName:"\u975E\u6CD5\u63A7\u5236\u5E8F\u5217\u540D\u79F0%1",IllegalParamNumber:"%1\u6307\u5B9A\u7684\u53C2\u6570\u6570\u91CF\u975E\u6CD5",MissingCS:"%1\u5FC5\u987B\u8DDF\u7740\u4E00\u4E2A\u63A7\u5236\u5E8F\u5217",CantUseHash2:"%1\u7684\u6A21\u677F\u4E2D\u975E\u6CD5\u4F7F\u7528#",SequentialParam:"%1\u7684\u53C2\u6570\u5FC5\u987B\u987A\u5E8F\u6807\u53F7",MissingReplacementString:"%1\u7684\u5B9A\u4E49\u7F3A\u5C11\u66FF\u6362\u5B57\u7B26\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5176\u5B9A\u4E49",NoClosingDelim:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E\u7ED3\u675F\u7684\u5206\u9694\u7B26%1",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u7684\u6700\u9AD8\u66FF\u4EE3\u6B21\u6570\uFF1B\u96BE\u9053\u5B58\u5728\u5FAA\u73AFLaTeX\u73AF\u5883\uFF1F",MultipleLabel:"\u5DF2\u5B9A\u4E49\u6807\u7B7E\u201C%1\u201D\u4E58",DoubleExponentPrime:"\u89D2\u5206\u7B26\u53F7\u5BFC\u81F4\u53CC\u91CD\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6F84\u6E05",ExtraAlignTab:"\\cases \u6587\u672C\u4E2D\u6709\u989D\u5916\u7684\u53C2\u6570\u5236\u8868\u7B26",BracketMustBeDimension:"%1\u7684\u62EC\u53F7\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u5C3A\u5BF8",ExtraCloseLooking:"\u5BFB\u627E %1 \u65F6\u53D1\u73B0\u4E00\u4E2A\u989D\u5916\u7684\u53F3\u5927\u62EC\u53F7",CommandAtTheBeginingOfLine:"%1\u5FC5\u987B\u4F4D\u4E8E\u884C\u7684\u5F00\u5934",MultlineRowsOneCol:"%1 \u73AF\u5883\u5185\u7684\u884C\u5FC5\u987B\u53EA\u6709\u4E00\u4E2A\u5217",InvalidBBoxProperty:"\u201C%1\u201D\u597D\u50CF\u4E0D\u662F\u4E00\u4E2A\u989C\u8272\u3001\u586B\u5145\u5C3A\u5BF8\u6216\u6837\u5F0F",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u6216\\newcommand\u5141\u8BB8",RunawayArgument:"%1\u7684\u53C2\u6570\u5931\u63A7\u4E86\u4E48\uFF1F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/TeX.js"); diff --git a/localization/zh-hans/zh-hans.js b/localization/zh-hans/zh-hans.js index f006918be8..08617433d5 100644 --- a/localization/zh-hans/zh-hans.js +++ b/localization/zh-hans/zh-hans.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hans",null,{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",MathProcessingError:"\u6570\u5B66\u5904\u7406\u9519\u8BEF",MathError:"\u6570\u5B66\u9519\u8BEF",LoadFile:"%1\u52A0\u8F7D\u4E2D",Loading:"\u52A0\u8F7D\u4E2D",LoadFailed:"\u65E0\u6CD5\u52A0\u8F7D\u6587\u4EF6\uFF1A%1",ProcessMath:"\u6570\u5B66\u5904\u7406\uFF1A%1%%",Processing:"\u5904\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6570\u5B66\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u6D4F\u89C8\u5668\u6682\u4E0D\u652F\u6301MathJax",ErrorTips:"\u8C03\u8BD5\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u6D4F\u89C8\u5668\u63A7\u5236\u53F0\u4E2D\u68C0\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/zh-hans.js"); +MathJax.Localization.addTranslation("zh-hans",null,{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",MathProcessingError:"\u6570\u5B66\u5904\u7406\u9519\u8BEF",MathError:"\u6570\u5B66\u9519\u8BEF",LoadFile:"%1\u52A0\u8F7D\u4E2D",Loading:"\u52A0\u8F7D\u4E2D",LoadFailed:"\u65E0\u6CD5\u52A0\u8F7D\u6587\u4EF6\uFF1A%1",ProcessMath:"\u6570\u5B66\u5904\u7406\uFF1A%1%%",Processing:"\u5904\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6570\u5B66\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u6D4F\u89C8\u5668\u6682\u4E0D\u652F\u6301MathJax",ErrorTips:"\u8C03\u8BD5\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u6D4F\u89C8\u5668\u63A7\u5236\u53F0\u4E2D\u68C0\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/zh-hans.js"); diff --git a/localization/zh-hant/FontWarnings.js b/localization/zh-hant/FontWarnings.js index a42a8a8628..d007b299a6 100644 --- a/localization/zh-hant/FontWarnings.js +++ b/localization/zh-hant/FontWarnings.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant","FontWarnings",{version:"2.7.5",isLoaded:true,strings:{webFont:"MathJax\u662F\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u4F86\u986F\u793A\u9801\u9762\u4E0A\u7684\u6578\u5B78\u76F8\u95DC\u5167\u5BB9\u3002\u56E0\u6B64\u6703\u82B1\u8CBB\u4E00\u4E9B\u6642\u9593\u4E0B\u8F09\u5B57\u578B\uFF0C\u82E5\u60F3\u8B93\u9801\u9762\u80FD\u8F03\u5FEB\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u60A8\u53EF\u4EE5\u5C07\u6240\u4F7F\u7528\u5230\u7684\u6578\u5B78\u5B57\u578B\u4E0B\u8F09\u5B89\u88DD\u5230\u60A8\u96FB\u8166\u672C\u6A5F\u88E1\u7684\u7CFB\u7D71\u5B57\u578B\u8CC7\u6599\u593E\u3002",imageFonts:"MathJax\u4F7F\u7528\u5716\u50CF\u5B57\u578B\u800C\u975E\u672C\u5730\u7AEF\u6216\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u8207\u4E00\u822C\u60C5\u6CC1\u76F8\u6BD4\u6703\u8F03\u6162\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u800C\u6240\u5448\u73FE\u6578\u5B78\u516C\u5F0F\u5728\u60A8\u7684\u5370\u8868\u6A5F\u4E0A\u53EF\u80FD\u6C92\u8FA6\u6CD5\u5B8C\u6574\u8FA8\u8B58\u5730\u5370\u51FA\u3002",noFonts:"\u56E0MathJax\u7121\u6CD5\u8A2D\u7F6E\u8981\u7528\u65BC\u986F\u793A\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578B\uFF0C\u800C\u4E14\u5716\u50CF\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6539\u63A1\u901A\u7528\u842C\u570B\u78BC\u5B57\u5143\u4EE5\u5118\u91CF\u80FD\u8B93\u60A8\u7684\u700F\u89BD\u5668\u6B63\u78BA\u986F\u793A\u5167\u5BB9\u3002\u67D0\u4E9B\u3001\u6216\u751A\u81F3\u5168\u90E8\u5B57\u5143\u6709\u53EF\u80FD\u6703\u7121\u6CD5\u6B63\u78BA\u5730\u986F\u793A\u51FA\u3002",webFonts:"\u73FE\u4ECA\u591A\u6578\u7684\u700F\u89BD\u5668\u5141\u8A31\u7D93\u7531\u7DB2\u969B\u7DB2\u8DEF\u4E0B\u8F09\u5B57\u578B\u3002\u5C07\u60A8\u7684\u700F\u89BD\u5668\u66F4\u65B0\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u662F\u66F4\u63DB\u700F\u89BD\u5668\uFF09\u4F86\u52A0\u5F37\u9801\u9762\u4E0A\u6578\u5B78\u516C\u5F0F\u7684\u986F\u793A\u8CEA\u611F\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216[MathJax TeX fonts](%2)\u3002\u4E0B\u8F09\u4F86\u5B89\u88DD\u9019\u4E9B\u5B57\u578B\u80FD\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",STIXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",TeXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/FontWarnings.js"); +MathJax.Localization.addTranslation("zh-hant","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax\u662F\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u4F86\u986F\u793A\u9801\u9762\u4E0A\u7684\u6578\u5B78\u76F8\u95DC\u5167\u5BB9\u3002\u56E0\u6B64\u6703\u82B1\u8CBB\u4E00\u4E9B\u6642\u9593\u4E0B\u8F09\u5B57\u578B\uFF0C\u82E5\u60F3\u8B93\u9801\u9762\u80FD\u8F03\u5FEB\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u60A8\u53EF\u4EE5\u5C07\u6240\u4F7F\u7528\u5230\u7684\u6578\u5B78\u5B57\u578B\u4E0B\u8F09\u5B89\u88DD\u5230\u60A8\u96FB\u8166\u672C\u6A5F\u88E1\u7684\u7CFB\u7D71\u5B57\u578B\u8CC7\u6599\u593E\u3002",imageFonts:"MathJax\u4F7F\u7528\u5716\u50CF\u5B57\u578B\u800C\u975E\u672C\u5730\u7AEF\u6216\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u8207\u4E00\u822C\u60C5\u6CC1\u76F8\u6BD4\u6703\u8F03\u6162\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u800C\u6240\u5448\u73FE\u6578\u5B78\u516C\u5F0F\u5728\u60A8\u7684\u5370\u8868\u6A5F\u4E0A\u53EF\u80FD\u6C92\u8FA6\u6CD5\u5B8C\u6574\u8FA8\u8B58\u5730\u5370\u51FA\u3002",noFonts:"\u56E0MathJax\u7121\u6CD5\u8A2D\u7F6E\u8981\u7528\u65BC\u986F\u793A\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578B\uFF0C\u800C\u4E14\u5716\u50CF\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6539\u63A1\u901A\u7528\u842C\u570B\u78BC\u5B57\u5143\u4EE5\u5118\u91CF\u80FD\u8B93\u60A8\u7684\u700F\u89BD\u5668\u6B63\u78BA\u986F\u793A\u5167\u5BB9\u3002\u67D0\u4E9B\u3001\u6216\u751A\u81F3\u5168\u90E8\u5B57\u5143\u6709\u53EF\u80FD\u6703\u7121\u6CD5\u6B63\u78BA\u5730\u986F\u793A\u51FA\u3002",webFonts:"\u73FE\u4ECA\u591A\u6578\u7684\u700F\u89BD\u5668\u5141\u8A31\u7D93\u7531\u7DB2\u969B\u7DB2\u8DEF\u4E0B\u8F09\u5B57\u578B\u3002\u5C07\u60A8\u7684\u700F\u89BD\u5668\u66F4\u65B0\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u662F\u66F4\u63DB\u700F\u89BD\u5668\uFF09\u4F86\u52A0\u5F37\u9801\u9762\u4E0A\u6578\u5B78\u516C\u5F0F\u7684\u986F\u793A\u8CEA\u611F\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216[MathJax TeX fonts](%2)\u3002\u4E0B\u8F09\u4F86\u5B89\u88DD\u9019\u4E9B\u5B57\u578B\u80FD\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",STIXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",TeXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/FontWarnings.js"); diff --git a/localization/zh-hant/HTML-CSS.js b/localization/zh-hant/HTML-CSS.js index bc42faabf4..7bf6846677 100644 --- a/localization/zh-hant/HTML-CSS.js +++ b/localization/zh-hant/HTML-CSS.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant","HTML-CSS",{version:"2.7.5",isLoaded:true,strings:{LoadWebFont:"\u7DB2\u9801\u5B57\u578B%1\u8F09\u5165\u4E2D",CantLoadWebFont:"\u7121\u6CD5\u8F09\u5165\u7DB2\u9801\u5B57\u578B%1",FirefoxCantLoadWebFont:"Firefox\u700F\u89BD\u5668\u7121\u6CD5\u5F9E\u9060\u7AEF\u4E3B\u6A5F\u8F09\u5165\u7DB2\u9801\u5B57\u578B",CantFindFontUsing:"\u7121\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u578B",WebFontsNotAvailable:"\u7DB2\u9801\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\u3002\u6539\u7528\u5716\u50CF\u5B57\u578B\u53D6\u4EE3"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HTML-CSS.js"); +MathJax.Localization.addTranslation("zh-hant","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u7DB2\u9801\u5B57\u578B%1\u8F09\u5165\u4E2D",CantLoadWebFont:"\u7121\u6CD5\u8F09\u5165\u7DB2\u9801\u5B57\u578B%1",FirefoxCantLoadWebFont:"Firefox\u700F\u89BD\u5668\u7121\u6CD5\u5F9E\u9060\u7AEF\u4E3B\u6A5F\u8F09\u5165\u7DB2\u9801\u5B57\u578B",CantFindFontUsing:"\u7121\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u578B",WebFontsNotAvailable:"\u7DB2\u9801\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\u3002\u6539\u7528\u5716\u50CF\u5B57\u578B\u53D6\u4EE3"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HTML-CSS.js"); diff --git a/localization/zh-hant/HelpDialog.js b/localization/zh-hant/HelpDialog.js index d15db67133..a40708e105 100644 --- a/localization/zh-hant/HelpDialog.js +++ b/localization/zh-hant/HelpDialog.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant","HelpDialog",{version:"2.7.5",isLoaded:true,strings:{Help:"MathJax \u8AAA\u660E",MathJax:"*MathJax*\u662F\u4E00\u500B\u80FD\u8B93\u7DB2\u9801\u958B\u767C\u8005\u5728\u4ED6\u5011\u7DB2\u9801\u88E1\u986F\u793A\u51FA\u6578\u5B78\u516C\u5F0F\u7684JavaScript\u51FD\u5F0F\u5EAB\u3002\n\u4F5C\u70BA\u7DB2\u9801\u7684\u700F\u89BD\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u57F7\u884C\u4EFB\u4F55\u52D5\u4F5C\u4FBF\u53EF\u89C0\u770B\u8A72\u6548\u679C\u3002",Browsers:"*\u700F\u89BD\u5668*\uFF1A MathJax \u5728\u6240\u6709\u8F03\u65B0\u578B\u7684\u700F\u89BD\u5668\u4E0A\u7686\u53EF\u6B63\u5E38\u904B\u4F5C\uFF0C\u5305\u62ECIE6\u4EE5\u4E0A\u3001Firefox 3\u4EE5\u4E0A\u3001Chrome 0.2\u4EE5\u4E0A\u3001Safari 2\u4EE5\u4E0A\u3001\u548COpera 9.6\u4EE5\u4E0A\u7248\u672C\u4EE5\u53CA\u591A\u6578\u884C\u52D5\u88DD\u7F6E\u700F\u89BD\u5668\u3002",Menu:"*\u6578\u5B78\u9078\u55AE*: MathJax\u5728\u65B9\u7A0B\u5F0F\u88E1\u6DFB\u52A0\u5FEB\u6377\u9078\u55AE\u3002\u5728\u4EFB\u4F55\u6578\u5B78\u516C\u5F0F\u88E1\u6309\u4E0B\u6ED1\u9F20\u53F3\u9375\u6216\u540C\u6642\u6309\u4E0BCtrl\u9375\u8207\u6ED1\u9F20\u5DE6\u9375\u5373\u53EF\u9032\u5165\u9078\u55AE\u3002",ShowMath:"*\u986F\u793A\u6578\u5B78\u5F62\u5F0F* \u5141\u8A31\u60A8\u67E5\u770B\u516C\u5F0F\u7684\u539F\u59CB\u78BC\u67B6\u69CB\u4EE5\u4FBF\u65BC\u57F7\u884C\u8907\u88FD\u8CBC\u4E0A\u52D5\u4F5C\uFF08\u4EE5MathML\u6216\u539F\u59CB\u683C\u5F0F\uFF09\u3002",Settings:"*\u6578\u5B78\u8A2D\u5B9A* \u80FD\u8B93\u60A8\u8ABF\u6574MathJax\u88E1\u7684\u529F\u80FD\uFF0C\u50CF\u662F\u6578\u5B78\u7B97\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u986F\u793A\u516C\u5F0F\u65B9\u9762\u7684\u6A5F\u5236\u3002",Language:"*\u8A9E\u8A00* \u8B93\u60A8\u9078\u64C7\u7D66MathJax\u5728\u9078\u55AE\u548C\u8B66\u544A\u8A0A\u606F\u4E0A\u4F7F\u7528\u7684\u8A9E\u8A00\u3002",Zoom:"*\u6578\u5B78\u516C\u5F0F\u7E2E\u653E*\uFF1A \u5982\u679C\u60A8\u95B1\u8B80\u65B9\u7A0B\u5F0F\u6642\u89BA\u5F97\u770B\u4E0D\u6E05\u695A\uFF0CMathJax\u53EF\u4EE5\u5C07\u6B64\u653E\u5927\u8B93\u60A8\u80FD\u66F4\u65B9\u4FBF\u700F\u89BD\u3002",Accessibilty:"*\u8F14\u52A9\u529F\u80FD*\uFF1A MathJax\u6703\u81EA\u884C\u8207\u87A2\u5E55\u95B1\u8B80\u5668\u904B\u4F5C\u8B93\u8996\u89BA\u969C\u7919\u8005\u89C0\u770B\u6578\u5B78\u516C\u5F0F\u6642\u80FD\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u578B*\uFF1A\u82E5\u60A8\u96FB\u8166\u4E0A\u6709\u5B89\u88DD\u67D0\u4E9B\u7528\u65BC\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578BMathJax\u5C07\u6703\u4F7F\u7528\u6B64\uFF0C\u5426\u5247\u5C07\u6703\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u96D6\u7136\u4E26\u4E0D\u5F37\u5236\u8981\u6C42\uFF0C\u4F46\u672C\u5730\u7AEF\u4E0A\u82E5\u6709\u5B89\u88DD\u76F8\u95DC\u5B57\u578B\u53EF\u52A0\u5FEB\u9801\u9762\u7684\u6392\u7248\u901F\u5EA6\uFF0C\u800C\u6211\u5011\u5EFA\u8B70\u5B89\u88DD[STIX fonts](%1)\u3002",CloseDialog:"\u95DC\u9589\u8AAA\u660E\u5C0D\u8A71\u6846"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HelpDialog.js"); +MathJax.Localization.addTranslation("zh-hant","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax \u8AAA\u660E",MathJax:"*MathJax*\u662F\u4E00\u500B\u80FD\u8B93\u7DB2\u9801\u958B\u767C\u8005\u5728\u4ED6\u5011\u7DB2\u9801\u88E1\u986F\u793A\u51FA\u6578\u5B78\u516C\u5F0F\u7684JavaScript\u51FD\u5F0F\u5EAB\u3002\n\u4F5C\u70BA\u7DB2\u9801\u7684\u700F\u89BD\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u57F7\u884C\u4EFB\u4F55\u52D5\u4F5C\u4FBF\u53EF\u89C0\u770B\u8A72\u6548\u679C\u3002",Browsers:"*\u700F\u89BD\u5668*\uFF1A MathJax \u5728\u6240\u6709\u8F03\u65B0\u578B\u7684\u700F\u89BD\u5668\u4E0A\u7686\u53EF\u6B63\u5E38\u904B\u4F5C\uFF0C\u5305\u62ECIE6\u4EE5\u4E0A\u3001Firefox 3\u4EE5\u4E0A\u3001Chrome 0.2\u4EE5\u4E0A\u3001Safari 2\u4EE5\u4E0A\u3001\u548COpera 9.6\u4EE5\u4E0A\u7248\u672C\u4EE5\u53CA\u591A\u6578\u884C\u52D5\u88DD\u7F6E\u700F\u89BD\u5668\u3002",Menu:"*\u6578\u5B78\u9078\u55AE*: MathJax\u5728\u65B9\u7A0B\u5F0F\u88E1\u6DFB\u52A0\u5FEB\u6377\u9078\u55AE\u3002\u5728\u4EFB\u4F55\u6578\u5B78\u516C\u5F0F\u88E1\u6309\u4E0B\u6ED1\u9F20\u53F3\u9375\u6216\u540C\u6642\u6309\u4E0BCtrl\u9375\u8207\u6ED1\u9F20\u5DE6\u9375\u5373\u53EF\u9032\u5165\u9078\u55AE\u3002",ShowMath:"*\u986F\u793A\u6578\u5B78\u5F62\u5F0F* \u5141\u8A31\u60A8\u67E5\u770B\u516C\u5F0F\u7684\u539F\u59CB\u78BC\u67B6\u69CB\u4EE5\u4FBF\u65BC\u57F7\u884C\u8907\u88FD\u8CBC\u4E0A\u52D5\u4F5C\uFF08\u4EE5MathML\u6216\u539F\u59CB\u683C\u5F0F\uFF09\u3002",Settings:"*\u6578\u5B78\u8A2D\u5B9A* \u80FD\u8B93\u60A8\u8ABF\u6574MathJax\u88E1\u7684\u529F\u80FD\uFF0C\u50CF\u662F\u6578\u5B78\u7B97\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u986F\u793A\u516C\u5F0F\u65B9\u9762\u7684\u6A5F\u5236\u3002",Language:"*\u8A9E\u8A00* \u8B93\u60A8\u9078\u64C7\u7D66MathJax\u5728\u9078\u55AE\u548C\u8B66\u544A\u8A0A\u606F\u4E0A\u4F7F\u7528\u7684\u8A9E\u8A00\u3002",Zoom:"*\u6578\u5B78\u516C\u5F0F\u7E2E\u653E*\uFF1A \u5982\u679C\u60A8\u95B1\u8B80\u65B9\u7A0B\u5F0F\u6642\u89BA\u5F97\u770B\u4E0D\u6E05\u695A\uFF0CMathJax\u53EF\u4EE5\u5C07\u6B64\u653E\u5927\u8B93\u60A8\u80FD\u66F4\u65B9\u4FBF\u700F\u89BD\u3002",Accessibilty:"*\u8F14\u52A9\u529F\u80FD*\uFF1A MathJax\u6703\u81EA\u884C\u8207\u87A2\u5E55\u95B1\u8B80\u5668\u904B\u4F5C\u8B93\u8996\u89BA\u969C\u7919\u8005\u89C0\u770B\u6578\u5B78\u516C\u5F0F\u6642\u80FD\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u578B*\uFF1A\u82E5\u60A8\u96FB\u8166\u4E0A\u6709\u5B89\u88DD\u67D0\u4E9B\u7528\u65BC\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578BMathJax\u5C07\u6703\u4F7F\u7528\u6B64\uFF0C\u5426\u5247\u5C07\u6703\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u96D6\u7136\u4E26\u4E0D\u5F37\u5236\u8981\u6C42\uFF0C\u4F46\u672C\u5730\u7AEF\u4E0A\u82E5\u6709\u5B89\u88DD\u76F8\u95DC\u5B57\u578B\u53EF\u52A0\u5FEB\u9801\u9762\u7684\u6392\u7248\u901F\u5EA6\uFF0C\u800C\u6211\u5011\u5EFA\u8B70\u5B89\u88DD[STIX fonts](%1)\u3002",CloseDialog:"\u95DC\u9589\u8AAA\u660E\u5C0D\u8A71\u6846"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HelpDialog.js"); diff --git a/localization/zh-hant/MathML.js b/localization/zh-hant/MathML.js index 07be9ebd29..f71a6ac5c3 100644 --- a/localization/zh-hant/MathML.js +++ b/localization/zh-hant/MathML.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant","MathML",{version:"2.7.5",isLoaded:true,strings:{BadMglyph:"\u4E0D\u6B63\u78BA\u7684mglyph\uFF1A%1",BadMglyphFont:"\u932F\u8AA4\u5B57\u578B\uFF1A%1",MathPlayer:"MathJax\u6C92\u6709\u8FA6\u6CD5\u8A2D\u7F6EMathPlayer\u3002\n\n\u5982\u679CMathPlayer\u672A\u88AB\u5B89\u88DD\uFF0C\u60A8\u9700\u8981\u5148\u5B89\u88DD\u6B64\u5957\u4EF6\u3002\n\u5426\u5247\u60A8\u7684\u5B89\u5168\u8A2D\u7F6E\u5167\u5BB9\u53EF\u80FD\u6703\u963B\u7919ActiveX\u63A7\u5236\u65B9\u9762\u7684\u904B\u4F5C\u3002\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u3002\u6AA2\u67E5\u95DC\u65BC\u300C\u57F7\u884CActiveX\u63A7\u5236\u9805\u300D\u548C\u300C\u4E8C\u9032\u4F4D\u548C\u6307\u4EE4\u78BC\u884C\u70BA\u300D\u7684\u8A2D\u5B9A\u662F\u5426\u958B\u555F\u3002\n\n\u76EE\u524D\u60A8\u6240\u770B\u5230\u7684\u662F\u932F\u8AA4\u8A0A\u606F\u800C\u975E\u6578\u5B78\u516C\u5F0F\u6392\u7248\u554F\u984C",CantCreateXMLParser:"MathJax\u7121\u6CD5\u5EFA\u7ACB\u4E00\u500B\u7528\u65BCMathML\u7684XML\u89E3\u6790\u3002\n\n\u6AA2\u67E5\u300C\u4EE5Script\u7A0B\u5F0F\u64CD\u63A7\u5B89\u5168\u6A19\u793A\u7684ActiveX \u63A7\u5236\u9805\u300D\u8A2D\u5B9A\u662F\u5426\u958B\u555F\uFF08\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u4F86\u627E\u5C0B\uFF09\u3002",UnknownNodeType:"\u4E0D\u660E\u7684\u7BC0\u9EDE\u985E\u578B\uFF1A%1",UnexpectedTextNode:"\u975E\u9810\u671F\u7684\u6587\u5B57\u7BC0\u9EDE\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u51FA\u932F",ParsingError:"\u89E3\u6790MathML\u51FA\u932F\uFF1A %1",MathMLSingleElement:"MathML\u5FC5\u9808\u4EE5\u55AE\u4E00\u5143\u7D20\u69CB\u6210",MathMLRootElement:"MathML\u5FC5\u9808\u7531\u003Cmath\u003E\u5143\u7D20\u69CB\u6210\uFF0C\u800C\u975E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathML.js"); +MathJax.Localization.addTranslation("zh-hant","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u4E0D\u6B63\u78BA\u7684mglyph\uFF1A%1",BadMglyphFont:"\u932F\u8AA4\u5B57\u578B\uFF1A%1",MathPlayer:"MathJax\u6C92\u6709\u8FA6\u6CD5\u8A2D\u7F6EMathPlayer\u3002\n\n\u5982\u679CMathPlayer\u672A\u88AB\u5B89\u88DD\uFF0C\u60A8\u9700\u8981\u5148\u5B89\u88DD\u6B64\u5957\u4EF6\u3002\n\u5426\u5247\u60A8\u7684\u5B89\u5168\u8A2D\u7F6E\u5167\u5BB9\u53EF\u80FD\u6703\u963B\u7919ActiveX\u63A7\u5236\u65B9\u9762\u7684\u904B\u4F5C\u3002\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u3002\u6AA2\u67E5\u95DC\u65BC\u300C\u57F7\u884CActiveX\u63A7\u5236\u9805\u300D\u548C\u300C\u4E8C\u9032\u4F4D\u548C\u6307\u4EE4\u78BC\u884C\u70BA\u300D\u7684\u8A2D\u5B9A\u662F\u5426\u958B\u555F\u3002\n\n\u76EE\u524D\u60A8\u6240\u770B\u5230\u7684\u662F\u932F\u8AA4\u8A0A\u606F\u800C\u975E\u6578\u5B78\u516C\u5F0F\u6392\u7248\u554F\u984C",CantCreateXMLParser:"MathJax\u7121\u6CD5\u5EFA\u7ACB\u4E00\u500B\u7528\u65BCMathML\u7684XML\u89E3\u6790\u3002\n\n\u6AA2\u67E5\u300C\u4EE5Script\u7A0B\u5F0F\u64CD\u63A7\u5B89\u5168\u6A19\u793A\u7684ActiveX \u63A7\u5236\u9805\u300D\u8A2D\u5B9A\u662F\u5426\u958B\u555F\uFF08\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u4F86\u627E\u5C0B\uFF09\u3002",UnknownNodeType:"\u4E0D\u660E\u7684\u7BC0\u9EDE\u985E\u578B\uFF1A%1",UnexpectedTextNode:"\u975E\u9810\u671F\u7684\u6587\u5B57\u7BC0\u9EDE\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u51FA\u932F",ParsingError:"\u89E3\u6790MathML\u51FA\u932F\uFF1A %1",MathMLSingleElement:"MathML\u5FC5\u9808\u4EE5\u55AE\u4E00\u5143\u7D20\u69CB\u6210",MathMLRootElement:"MathML\u5FC5\u9808\u7531\u003Cmath\u003E\u5143\u7D20\u69CB\u6210\uFF0C\u800C\u975E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathML.js"); diff --git a/localization/zh-hant/MathMenu.js b/localization/zh-hant/MathMenu.js index 31a56bea05..e6851e0dbd 100644 --- a/localization/zh-hant/MathMenu.js +++ b/localization/zh-hant/MathMenu.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant","MathMenu",{version:"2.7.5",isLoaded:true,strings:{Show:"\u986F\u793A\u6578\u5B78\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u78BC",OriginalMathML:"\u539F\u59CBMathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F38\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u932F\u8AA4\u8A0A\u606F",Annotation:"\u8A3B\u91CB",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML\u5167\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u986F\u793ATeX\u63D0\u793A",Settings:"\u6578\u5B78\u8A2D\u5B9A",ZoomTrigger:"\u7E2E\u653E\u89F8\u767C",Hover:"\u6E38\u6A19\u8986\u84CB",Click:"\u9EDE\u9078",DoubleClick:"\u96D9\u64CA",NoZoom:"\u95DC\u9589\u7E2E\u653E",TriggerRequires:"\u89F8\u767C\u9700\u6C42\uFF1A",Option:"\u9078\u9805",Alt:"Alt\u9375",Command:"Command\u9375",Control:"Ctrl\u9375",Shift:"Shift\u9375",ZoomFactor:"\u7E2E\u653E\u500D\u7387",Renderer:"\u5448\u73FE\u6578\u5B78\u65B9\u5F0F",MPHandles:"\u7531MathPlayer\u8655\u7406\uFF1A",MenuEvents:"\u9078\u55AE\u4E8B\u4EF6",MouseEvents:"\u6E38\u6A19\u4E8B\u4EF6",MenuAndMouse:"\u6E38\u6A19\u8207\u9078\u55AE\u4E8B\u4EF6",FontPrefs:"\u5B57\u578B\u504F\u597D\u8A2D\u5B9A",ForHTMLCSS:"\u7528\u65BCHTML-CSS\uFF1A",Auto:"\u81EA\u52D5",TeXLocal:"Tex\uFF08\u672C\u5730\uFF09",TeXWeb:"Tex\uFF08\u7DB2\u9801\uFF09",TeXImage:"Tex\uFF08\u5716\u50CF\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08\u7DB2\u9801\uFF09",AsanaMathWeb:"Asana Math\uFF08\u7DB2\u9801\uFF09",GyrePagellaWeb:"Gyre Pagella\uFF08\u7DB2\u9801\uFF09",GyreTermesWeb:"Gyre Termes\uFF08\u7DB2\u9801\uFF09",LatinModernWeb:"Latin Modern\uFF08\u7DB2\u9801\uFF09",NeoEulerWeb:"Neo Euler\uFF08\u7DB2\u9801\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u9078\u55AE",Browser:"\u700F\u89BD\u5668",Scale:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\u2027\u2027\u2027",Discoverable:"\u5728\u6E38\u6A19\u8986\u84CB\u6642\u5F37\u8ABF\u5167\u5BB9",Locale:"\u8A9E\u8A00",LoadLocale:"\u5F9EURL\u8F09\u5165...",About:"\u95DC\u65BCMathJax",Help:"MathJax\u8AAA\u660E",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u578B",webTeXfonts:"\u4F7F\u7528\u7DB2\u9801TeX\u5B57\u578B",imagefonts:"\u4F7F\u7528\u5716\u50CF\u5B57\u578B",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u578B",webSVGfonts:"\u4F7F\u7528\u7DB2\u9801SVG\u5B57\u578B",genericfonts:"\u4F7F\u7528\u901A\u7528\u842C\u570B\u78BC\u5B57\u578B",wofforotffonts:"WOFF\u6216OTF\u5B57\u578B",eotffonts:"EOT\u5B57\u578B",svgfonts:"SVG\u5B57\u578B",WebkitNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathML natively\uFF0C\u56E0\u6B64\u5207\u63DB\u81F3MathML\u8F38\u51FA\u53EF\u80FD\u6703\u5C0E\u81F4\u9801\u9762\u4E0A\u7684\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u8B80\u53D6\u3002",MSIENativeMMLWarning:"IE\u700F\u89BD\u5668\u9700\u8981MathPlayer\u5916\u639B\u624D\u80FD\u8655\u7406MathML\u8F38\u51FA\u5167\u5BB9\u3002",OperaNativeMMLWarning:"Opera\u700F\u89BD\u5668\u5728\u5C0D\u65BC\u652F\u63F4MathML\u65B9\u9762\u6709\u9650\uFF0C\u6240\u4EE5\u8F49\u63DB\u81F3MathML\u8F38\u51FA\u4E5F\u8A31\u6703\u9020\u6210\u4E00\u4E9B\u8868\u9054\u5F0F\u4E0D\u80FD\u6B63\u78BA\u5448\u73FE\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",MSIESVGWarning:"SVG\u5728IE9\u4E4B\u524D\u7248\u672C\u7684IE\u700F\u89BD\u5668\u3001\u6216\u8B93IE9\u6A21\u64ECIE8\u4EE5\u4E0B\u67B6\u69CB\u904B\u4F5C\u6642\uFF0C\u5728\u8F49\u63DB\u81F3SVG\u8F38\u51FA\u6703\u5C0E\u81F4\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u6B63\u5E38\u986F\u793A\u3002",LoadURL:"\u5F9E\u6B64URL\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\uFF1A",BadURL:"URL\u61C9\u8A72\u662F\u500B\u5B9A\u7FA9MathJax\u8F49\u63DB\u8CC7\u6599\u7684JavaScript\u6A94\u6848\u3002JavaScript\u6A94\u6848\u540D\u7A31\u7D50\u5C3E\u61C9\u70BA\u300C.js\u300D\u3002",BadData:"\u5F9E%1\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\u51FA\u932F",SwitchAnyway:"\u4E00\u5B9A\u8981\u5207\u63DB\u5448\u73FE\u65B9\u5F0F\uFF1F\n\n\uFF08\u9EDE\u64CAOK\u9032\u884C\u5207\u63DB\uFF0C\u9EDE\u64CA\u53D6\u6D88\u7E7C\u7E8C\u4EE5\u76EE\u524D\u65B9\u5F0F\u5448\u73FE\uFF09",ScaleMath:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\uFF08\u8207\u570D\u7E5E\u7684\u6587\u5B57\u505A\u5C0D\u6BD4\uFF09\u4F9D",NonZeroScale:"\u6BD4\u4F8B\u4E0D\u61C9\u70BA\u96F6",PercentScale:"\u6BD4\u4F8B\u61C9\u70BA\u767E\u5206\u6BD4\u683C\u5F0F\uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u9019\u5C07\u6703\u95DC\u9589MathJax\u9078\u55AE\u4EE5\u53CA\u7E2E\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u4E00\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u9032\u5165MathJax\u9078\u55AE\u3002\n\n\u78BA\u5B9A\u8981\u66F4\u6539MathPlayer\u8A2D\u5B9A\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u9078\u55AE\u5C07\u6703\u88AB\u505C\u7528\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u500B\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u547C\u53EB\u9078\u55AE\u3002",NoOriginalForm:"\u6C92\u6709\u53EF\u7528\u7684\u539F\u59CB\u683C\u5F0F",Close:"\u95DC\u9589",EqSource:"MathJax\u65B9\u7A0B\u5F0F\u4F86\u6E90",CloseAboutDialog:"\u95DC\u9589\u95DC\u65BCMathJax\u5C0D\u8A71\u6846",FastPreview:"\u5FEB\u901F\u9810\u89BD",AssistiveMML:"\u8F14\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6A19\u7C64\u9806\u5E8F\u88E1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathMenu.js"); +MathJax.Localization.addTranslation("zh-hant","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u986F\u793A\u6578\u5B78\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u78BC",OriginalMathML:"\u539F\u59CBMathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F38\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u932F\u8AA4\u8A0A\u606F",Annotation:"\u8A3B\u91CB",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML\u5167\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u986F\u793ATeX\u63D0\u793A",Settings:"\u6578\u5B78\u8A2D\u5B9A",ZoomTrigger:"\u7E2E\u653E\u89F8\u767C",Hover:"\u6E38\u6A19\u8986\u84CB",Click:"\u9EDE\u9078",DoubleClick:"\u96D9\u64CA",NoZoom:"\u95DC\u9589\u7E2E\u653E",TriggerRequires:"\u89F8\u767C\u9700\u6C42\uFF1A",Option:"\u9078\u9805",Alt:"Alt\u9375",Command:"Command\u9375",Control:"Ctrl\u9375",Shift:"Shift\u9375",ZoomFactor:"\u7E2E\u653E\u500D\u7387",Renderer:"\u5448\u73FE\u6578\u5B78\u65B9\u5F0F",MPHandles:"\u7531MathPlayer\u8655\u7406\uFF1A",MenuEvents:"\u9078\u55AE\u4E8B\u4EF6",MouseEvents:"\u6E38\u6A19\u4E8B\u4EF6",MenuAndMouse:"\u6E38\u6A19\u8207\u9078\u55AE\u4E8B\u4EF6",FontPrefs:"\u5B57\u578B\u504F\u597D\u8A2D\u5B9A",ForHTMLCSS:"\u7528\u65BCHTML-CSS\uFF1A",Auto:"\u81EA\u52D5",TeXLocal:"Tex\uFF08\u672C\u5730\uFF09",TeXWeb:"Tex\uFF08\u7DB2\u9801\uFF09",TeXImage:"Tex\uFF08\u5716\u50CF\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08\u7DB2\u9801\uFF09",AsanaMathWeb:"Asana Math\uFF08\u7DB2\u9801\uFF09",GyrePagellaWeb:"Gyre Pagella\uFF08\u7DB2\u9801\uFF09",GyreTermesWeb:"Gyre Termes\uFF08\u7DB2\u9801\uFF09",LatinModernWeb:"Latin Modern\uFF08\u7DB2\u9801\uFF09",NeoEulerWeb:"Neo Euler\uFF08\u7DB2\u9801\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u9078\u55AE",Browser:"\u700F\u89BD\u5668",Scale:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\u2027\u2027\u2027",Discoverable:"\u5728\u6E38\u6A19\u8986\u84CB\u6642\u5F37\u8ABF\u5167\u5BB9",Locale:"\u8A9E\u8A00",LoadLocale:"\u5F9EURL\u8F09\u5165...",About:"\u95DC\u65BCMathJax",Help:"MathJax\u8AAA\u660E",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u578B",webTeXfonts:"\u4F7F\u7528\u7DB2\u9801TeX\u5B57\u578B",imagefonts:"\u4F7F\u7528\u5716\u50CF\u5B57\u578B",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u578B",webSVGfonts:"\u4F7F\u7528\u7DB2\u9801SVG\u5B57\u578B",genericfonts:"\u4F7F\u7528\u901A\u7528\u842C\u570B\u78BC\u5B57\u578B",wofforotffonts:"WOFF\u6216OTF\u5B57\u578B",eotffonts:"EOT\u5B57\u578B",svgfonts:"SVG\u5B57\u578B",WebkitNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathML natively\uFF0C\u56E0\u6B64\u5207\u63DB\u81F3MathML\u8F38\u51FA\u53EF\u80FD\u6703\u5C0E\u81F4\u9801\u9762\u4E0A\u7684\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u8B80\u53D6\u3002",MSIENativeMMLWarning:"IE\u700F\u89BD\u5668\u9700\u8981MathPlayer\u5916\u639B\u624D\u80FD\u8655\u7406MathML\u8F38\u51FA\u5167\u5BB9\u3002",OperaNativeMMLWarning:"Opera\u700F\u89BD\u5668\u5728\u5C0D\u65BC\u652F\u63F4MathML\u65B9\u9762\u6709\u9650\uFF0C\u6240\u4EE5\u8F49\u63DB\u81F3MathML\u8F38\u51FA\u4E5F\u8A31\u6703\u9020\u6210\u4E00\u4E9B\u8868\u9054\u5F0F\u4E0D\u80FD\u6B63\u78BA\u5448\u73FE\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",MSIESVGWarning:"SVG\u5728IE9\u4E4B\u524D\u7248\u672C\u7684IE\u700F\u89BD\u5668\u3001\u6216\u8B93IE9\u6A21\u64ECIE8\u4EE5\u4E0B\u67B6\u69CB\u904B\u4F5C\u6642\uFF0C\u5728\u8F49\u63DB\u81F3SVG\u8F38\u51FA\u6703\u5C0E\u81F4\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u6B63\u5E38\u986F\u793A\u3002",LoadURL:"\u5F9E\u6B64URL\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\uFF1A",BadURL:"URL\u61C9\u8A72\u662F\u500B\u5B9A\u7FA9MathJax\u8F49\u63DB\u8CC7\u6599\u7684JavaScript\u6A94\u6848\u3002JavaScript\u6A94\u6848\u540D\u7A31\u7D50\u5C3E\u61C9\u70BA\u300C.js\u300D\u3002",BadData:"\u5F9E%1\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\u51FA\u932F",SwitchAnyway:"\u4E00\u5B9A\u8981\u5207\u63DB\u5448\u73FE\u65B9\u5F0F\uFF1F\n\n\uFF08\u9EDE\u64CAOK\u9032\u884C\u5207\u63DB\uFF0C\u9EDE\u64CA\u53D6\u6D88\u7E7C\u7E8C\u4EE5\u76EE\u524D\u65B9\u5F0F\u5448\u73FE\uFF09",ScaleMath:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\uFF08\u8207\u570D\u7E5E\u7684\u6587\u5B57\u505A\u5C0D\u6BD4\uFF09\u4F9D",NonZeroScale:"\u6BD4\u4F8B\u4E0D\u61C9\u70BA\u96F6",PercentScale:"\u6BD4\u4F8B\u61C9\u70BA\u767E\u5206\u6BD4\u683C\u5F0F\uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u9019\u5C07\u6703\u95DC\u9589MathJax\u9078\u55AE\u4EE5\u53CA\u7E2E\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u4E00\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u9032\u5165MathJax\u9078\u55AE\u3002\n\n\u78BA\u5B9A\u8981\u66F4\u6539MathPlayer\u8A2D\u5B9A\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u9078\u55AE\u5C07\u6703\u88AB\u505C\u7528\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u500B\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u547C\u53EB\u9078\u55AE\u3002",NoOriginalForm:"\u6C92\u6709\u53EF\u7528\u7684\u539F\u59CB\u683C\u5F0F",Close:"\u95DC\u9589",EqSource:"MathJax\u65B9\u7A0B\u5F0F\u4F86\u6E90",CloseAboutDialog:"\u95DC\u9589\u95DC\u65BCMathJax\u5C0D\u8A71\u6846",FastPreview:"\u5FEB\u901F\u9810\u89BD",AssistiveMML:"\u8F14\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6A19\u7C64\u9806\u5E8F\u88E1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathMenu.js"); diff --git a/localization/zh-hant/TeX.js b/localization/zh-hant/TeX.js index 902fe3222c..18e560e170 100644 --- a/localization/zh-hant/TeX.js +++ b/localization/zh-hant/TeX.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant","TeX",{version:"2.7.5",isLoaded:true,strings:{ExtraOpenMissingClose:"\u591A\u9918\u7684\u5DE6\u62EC\u5F27\u6216\u7F3A\u5C11\u53F3\u62EC\u5F27",ExtraCloseMissingOpen:"\u591A\u51FA\u7684\u53F3\u62EC\u865F\u6216\u907A\u5931\u5DE6\u62EC\u865F",MissingLeftExtraRight:"\u907A\u5931 \\left \u6216\u591A\u9918 \\right",MissingScript:"\u7F3A\u5C11\u4E0A\u6A19\u6216\u4E0B\u6A19\u53C3\u6578",ExtraLeftMissingRight:"\u6709\u591A\u51FA\u4F86\u7684 \\left \u6216\u6C92\u88DC\u4E0A \\right",Misplaced:"%1\u653E\u932F\u4F4D\u7F6E",MissingOpenForSub:"\u7F3A\u5C11\u7528\u65BC\u4E0B\u6A19\u7684\u5DE6\u62EC\u865F",MissingOpenForSup:"\u7F3A\u5C11\u7528\u65BC\u4E0A\u6A19\u7684\u5DE6\u62EC\u865F",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u78BA",EnvBadEnd:"\\begin{%1}\u4EE5\\end{%2}\u4F86\u7D50\u675F",EnvMissingEnd:"\u7F3A\u5C11\\end{%1}",MissingBoxFor:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u865F",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u7684\u63A7\u5236\u6578\u5217%1",DoubleExponent:"\u51FA\u73FE\u5169\u500B\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleSubscripts:"\u51FA\u73FE\u5169\u500B\u5E95\u7DDA\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleExponentPrime:"\u89D2\u5206\u7B26\u865F\u5C0E\u81F4\u7522\u751F\u96D9\u91CD\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F\u4F86\u5340\u5206",CantUseHash1:"\u5728\u6578\u5B78\u6A21\u5F0F\u88E1\u60A8\u4E0D\u80FD\u4F7F\u7528\u300C\u5DE8\u96C6\u53C3\u6578\u5B57\u5143 #\u300D",MisplacedMiddle:"%1\u5FC5\u9808\u5728 \\left \u548C \\right \u4E4B\u9593",MisplacedLimits:"%1\u50C5\u5141\u8A31\u7528\u5728\u904B\u7B97\u5F0F\u4E0A",MisplacedMoveRoot:"%1\u50C5\u80FD\u5728\u5E36\u6709root\u5B57\u5143\u4E0B\u5448\u73FE",MultipleCommand:"\u591A\u500B %1",IntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6574\u6578",NotMathMLToken:"%1\u4E0D\u662F\u4E00\u500B\u6A19\u793A\u5143\u7D20",InvalidMathMLAttr:"\u7121\u6548MathML\u5C6C\u6027\uFF1A %1",UnknownAttrForElement:"%1\u5728%2\u4E0D\u662F\u53EF\u8FA8\u8B58\u5C6C\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u5DE8\u96C6\u66FF\u4EE3\u6B21\u6578\u4E0A\u9650\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u6700\u5927\u4EE3\u63DB\u6B21\u6578\uFF0C\u5728LaTeX\u74B0\u5883\u88E1\u662F\u5426\u5B58\u6709\u905E\u8FF4\u5167\u5BB9?",MissingArgFor:"\u7F3A\u5C11\u7528\u65BC%1\u53C3\u6578",ExtraAlignTab:"\u5728\\cases\u6587\u5B57\u5167\u5BB9\u88E1\u6709\u591A\u51FA\u7684\u5C0D\u61C9\u53C3\u6578",BracketMustBeDimension:"\u7528\u65BC%1\u7684\u62EC\u865F\u53C3\u6578\u5FC5\u9808\u662F\u4E00\u500B\u7DAD\u5EA6",InvalidEnv:"\u7121\u6548\u74B0\u5883\u540D\u7A31\u300C%1\u300D",UnknownEnv:"\u4E0D\u660E\u74B0\u5883\u8B8A\u6578\u300C%1\u300D",ExtraCloseLooking:"\u5728\u627E\u5C0B%1\u6642\u767C\u73FE\u6709\u591A\u51FA\u4F86\u7684\u53F3\u62EC\u865F",MissingCloseBracket:"%1\u7684\u53C3\u6578\u7121\u6CD5\u627E\u5230\u53F3\u62EC\u865F\u300C]\u300D",MissingOrUnrecognizedDelim:"\u7F3A\u5C11\u6216\u7121\u6CD5\u8FA8\u8B58\u7528\u65BC%1\u7684\u5206\u9694\u7B26\u865F",MissingDimOrUnits:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u7DAD\u5EA6\u6216\u55AE\u4F4D",TokenNotFoundForCommand:"\u7121\u6CD5\u627E\u5230\u7528\u65BC%2\u7684%1",MathNotTerminated:"\u6578\u5B78\u516C\u5F0F\u5728\u6587\u5B57\u6846\u88E1\u672A\u7D50\u675F",IllegalMacroParam:"\u975E\u6CD5\u7684\u5DE8\u96C6\u53C3\u6578\u5F15\u7528",MaxBufferSize:"\u8D85\u51FAMathJax\u5167\u90E8\u7DE9\u885D\u5927\u5C0F\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",CommandNotAllowedInEnv:"%1 \u4E0D\u88AB\u5141\u8A31\u5728 %2 \u74B0\u5883\u4E0B",MultipleLabel:"\u6A19\u7C64\u300C%1\u300D\u88AB\u591A\u91CD\u5B9A\u7FA9",CommandAtTheBeginingOfLine:"%1\u5FC5\u9808\u4F4D\u5728\u884C\u5217\u7684\u958B\u982D",IllegalAlign:"\u5728%1\u6709\u4E0D\u6B63\u78BA\u6307\u5B9A\u8FA8\u8B58\u65B9\u5F0F",BadMathStyleFor:"%1\u7684\u6578\u5B78\u8868\u793A\u5167\u5BB9\u932F\u8AA4",PositiveIntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6B63\u6574\u6578",ErroneousNestingEq:"\u932F\u8AA4\u7684\u65B9\u7A0B\u5F0F\u5D4C\u5957\u7D50\u69CB",MultlineRowsOneCol:"\u5728%1\u74B0\u5883\u88E1\u7684\u884C\u5217\u5FC5\u9808\u53EA\u6709\u4E00\u6B04",MultipleBBoxProperty:"%1\u5728%2\u88AB\u6307\u5B9A\u5169\u6B21",InvalidBBoxProperty:"\u300C%1\u300D\u4E0D\u50CF\u662F\u4E00\u500B\u8272\u5F69\u3001\u5167\u908A\u7DAD\u5EA6\u3001\u6216\u6A23\u5F0F",ExtraEndMissingBegin:"\u6709\u591A\u9918%1\u6216\u7F3A\u5C11\\begingroup",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u3001\u6216\\newcommand\u6240\u5141\u8A31",UndefinedColorModel:"\u8272\u5F69\u6A21\u578B\u300C%1\u300D\u6C92\u6709\u5B9A\u7FA9",ModelArg1:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u89813\u500B\u6578\u5B57",InvalidDecimalNumber:"\u7121\u6548\u5341\u9032\u4F4D\u6578\u5B57",ModelArg2:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u8981\u4ECB\u65BC%2\u548C%3\u4E4B\u9593",InvalidNumber:"\u7121\u6548\u6578\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u500B\u53C3\u6578\u5FC5\u9808\u662F\u63A7\u5236\u5E8F\u5217\u540D\u7A31",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u500B\u53C3\u6578\u5FC5\u9808\u662F\u7531\u9017\u865F\u5206\u958B\u7684\u5169\u500B\u6574\u6578",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u500B\u53C3\u6578\u5FC5\u9808\u662F\u842C\u570B\u78BC\u5B57\u5143\u6578\u5B57",NoClosingChar:"\u6C92\u6709\u627E\u5230\u5C01\u9589\u7528\u5B57\u5143%1",IllegalControlSequenceName:"\u4E0D\u9069\u5408\u7528\u5728%1\u7684\u63A7\u5236\u5E8F\u5217\u540D\u7A31",IllegalParamNumber:"\u6307\u5B9A\u65BC%1\u7684\u4E0D\u9069\u7576\u6578\u5B57\u53C3\u6578",MissingCS:"%1\u5FC5\u9808\u8DDF\u96A8\u4E00\u500B\u63A7\u5236\u5E8F\u5217",CantUseHash2:"\u5728\u7528\u65BC%1\u7684\u6A21\u677F\u4E0A\u4E0D\u6B63\u78BA\u4F7F\u7528#\u5B57\u5143",SequentialParam:"\u7528\u65BC%1\u7684\u53C3\u6578\u5FC5\u9808\u4F9D\u9806\u5E8F\u7DE8\u865F",MissingReplacementString:"%1\u7684\u5B9A\u7FA9\u7F3A\u5C11\u66FF\u4EE3\u5B57\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5B9A\u7FA9",RunawayArgument:"\u6709\u7528\u65BC%1\u7684\u53C3\u6578\u4E0D\u898B\u4E86\uFF1F",NoClosingDelim:"\u5728%1\u7121\u6CD5\u627E\u5230\u7D50\u675F\u7B26\u865F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/TeX.js"); +MathJax.Localization.addTranslation("zh-hant","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u591A\u9918\u7684\u5DE6\u62EC\u5F27\u6216\u7F3A\u5C11\u53F3\u62EC\u5F27",ExtraCloseMissingOpen:"\u591A\u51FA\u7684\u53F3\u62EC\u865F\u6216\u907A\u5931\u5DE6\u62EC\u865F",MissingLeftExtraRight:"\u907A\u5931 \\left \u6216\u591A\u9918 \\right",MissingScript:"\u7F3A\u5C11\u4E0A\u6A19\u6216\u4E0B\u6A19\u53C3\u6578",ExtraLeftMissingRight:"\u6709\u591A\u51FA\u4F86\u7684 \\left \u6216\u6C92\u88DC\u4E0A \\right",Misplaced:"%1\u653E\u932F\u4F4D\u7F6E",MissingOpenForSub:"\u7F3A\u5C11\u7528\u65BC\u4E0B\u6A19\u7684\u5DE6\u62EC\u865F",MissingOpenForSup:"\u7F3A\u5C11\u7528\u65BC\u4E0A\u6A19\u7684\u5DE6\u62EC\u865F",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u78BA",EnvBadEnd:"\\begin{%1}\u4EE5\\end{%2}\u4F86\u7D50\u675F",EnvMissingEnd:"\u7F3A\u5C11\\end{%1}",MissingBoxFor:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u865F",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u7684\u63A7\u5236\u6578\u5217%1",DoubleExponent:"\u51FA\u73FE\u5169\u500B\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleSubscripts:"\u51FA\u73FE\u5169\u500B\u5E95\u7DDA\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleExponentPrime:"\u89D2\u5206\u7B26\u865F\u5C0E\u81F4\u7522\u751F\u96D9\u91CD\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F\u4F86\u5340\u5206",CantUseHash1:"\u5728\u6578\u5B78\u6A21\u5F0F\u88E1\u60A8\u4E0D\u80FD\u4F7F\u7528\u300C\u5DE8\u96C6\u53C3\u6578\u5B57\u5143 #\u300D",MisplacedMiddle:"%1\u5FC5\u9808\u5728 \\left \u548C \\right \u4E4B\u9593",MisplacedLimits:"%1\u50C5\u5141\u8A31\u7528\u5728\u904B\u7B97\u5F0F\u4E0A",MisplacedMoveRoot:"%1\u50C5\u80FD\u5728\u5E36\u6709root\u5B57\u5143\u4E0B\u5448\u73FE",MultipleCommand:"\u591A\u500B %1",IntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6574\u6578",NotMathMLToken:"%1\u4E0D\u662F\u4E00\u500B\u6A19\u793A\u5143\u7D20",InvalidMathMLAttr:"\u7121\u6548MathML\u5C6C\u6027\uFF1A %1",UnknownAttrForElement:"%1\u5728%2\u4E0D\u662F\u53EF\u8FA8\u8B58\u5C6C\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u5DE8\u96C6\u66FF\u4EE3\u6B21\u6578\u4E0A\u9650\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u6700\u5927\u4EE3\u63DB\u6B21\u6578\uFF0C\u5728LaTeX\u74B0\u5883\u88E1\u662F\u5426\u5B58\u6709\u905E\u8FF4\u5167\u5BB9?",MissingArgFor:"\u7F3A\u5C11\u7528\u65BC%1\u53C3\u6578",ExtraAlignTab:"\u5728\\cases\u6587\u5B57\u5167\u5BB9\u88E1\u6709\u591A\u51FA\u7684\u5C0D\u61C9\u53C3\u6578",BracketMustBeDimension:"\u7528\u65BC%1\u7684\u62EC\u865F\u53C3\u6578\u5FC5\u9808\u662F\u4E00\u500B\u7DAD\u5EA6",InvalidEnv:"\u7121\u6548\u74B0\u5883\u540D\u7A31\u300C%1\u300D",UnknownEnv:"\u4E0D\u660E\u74B0\u5883\u8B8A\u6578\u300C%1\u300D",ExtraCloseLooking:"\u5728\u627E\u5C0B%1\u6642\u767C\u73FE\u6709\u591A\u51FA\u4F86\u7684\u53F3\u62EC\u865F",MissingCloseBracket:"%1\u7684\u53C3\u6578\u7121\u6CD5\u627E\u5230\u53F3\u62EC\u865F\u300C]\u300D",MissingOrUnrecognizedDelim:"\u7F3A\u5C11\u6216\u7121\u6CD5\u8FA8\u8B58\u7528\u65BC%1\u7684\u5206\u9694\u7B26\u865F",MissingDimOrUnits:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u7DAD\u5EA6\u6216\u55AE\u4F4D",TokenNotFoundForCommand:"\u7121\u6CD5\u627E\u5230\u7528\u65BC%2\u7684%1",MathNotTerminated:"\u6578\u5B78\u516C\u5F0F\u5728\u6587\u5B57\u6846\u88E1\u672A\u7D50\u675F",IllegalMacroParam:"\u975E\u6CD5\u7684\u5DE8\u96C6\u53C3\u6578\u5F15\u7528",MaxBufferSize:"\u8D85\u51FAMathJax\u5167\u90E8\u7DE9\u885D\u5927\u5C0F\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",CommandNotAllowedInEnv:"%1 \u4E0D\u88AB\u5141\u8A31\u5728 %2 \u74B0\u5883\u4E0B",MultipleLabel:"\u6A19\u7C64\u300C%1\u300D\u88AB\u591A\u91CD\u5B9A\u7FA9",CommandAtTheBeginingOfLine:"%1\u5FC5\u9808\u4F4D\u5728\u884C\u5217\u7684\u958B\u982D",IllegalAlign:"\u5728%1\u6709\u4E0D\u6B63\u78BA\u6307\u5B9A\u8FA8\u8B58\u65B9\u5F0F",BadMathStyleFor:"%1\u7684\u6578\u5B78\u8868\u793A\u5167\u5BB9\u932F\u8AA4",PositiveIntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6B63\u6574\u6578",ErroneousNestingEq:"\u932F\u8AA4\u7684\u65B9\u7A0B\u5F0F\u5D4C\u5957\u7D50\u69CB",MultlineRowsOneCol:"\u5728%1\u74B0\u5883\u88E1\u7684\u884C\u5217\u5FC5\u9808\u53EA\u6709\u4E00\u6B04",MultipleBBoxProperty:"%1\u5728%2\u88AB\u6307\u5B9A\u5169\u6B21",InvalidBBoxProperty:"\u300C%1\u300D\u4E0D\u50CF\u662F\u4E00\u500B\u8272\u5F69\u3001\u5167\u908A\u7DAD\u5EA6\u3001\u6216\u6A23\u5F0F",ExtraEndMissingBegin:"\u6709\u591A\u9918%1\u6216\u7F3A\u5C11\\begingroup",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u3001\u6216\\newcommand\u6240\u5141\u8A31",UndefinedColorModel:"\u8272\u5F69\u6A21\u578B\u300C%1\u300D\u6C92\u6709\u5B9A\u7FA9",ModelArg1:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u89813\u500B\u6578\u5B57",InvalidDecimalNumber:"\u7121\u6548\u5341\u9032\u4F4D\u6578\u5B57",ModelArg2:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u8981\u4ECB\u65BC%2\u548C%3\u4E4B\u9593",InvalidNumber:"\u7121\u6548\u6578\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u500B\u53C3\u6578\u5FC5\u9808\u662F\u63A7\u5236\u5E8F\u5217\u540D\u7A31",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u500B\u53C3\u6578\u5FC5\u9808\u662F\u7531\u9017\u865F\u5206\u958B\u7684\u5169\u500B\u6574\u6578",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u500B\u53C3\u6578\u5FC5\u9808\u662F\u842C\u570B\u78BC\u5B57\u5143\u6578\u5B57",NoClosingChar:"\u6C92\u6709\u627E\u5230\u5C01\u9589\u7528\u5B57\u5143%1",IllegalControlSequenceName:"\u4E0D\u9069\u5408\u7528\u5728%1\u7684\u63A7\u5236\u5E8F\u5217\u540D\u7A31",IllegalParamNumber:"\u6307\u5B9A\u65BC%1\u7684\u4E0D\u9069\u7576\u6578\u5B57\u53C3\u6578",MissingCS:"%1\u5FC5\u9808\u8DDF\u96A8\u4E00\u500B\u63A7\u5236\u5E8F\u5217",CantUseHash2:"\u5728\u7528\u65BC%1\u7684\u6A21\u677F\u4E0A\u4E0D\u6B63\u78BA\u4F7F\u7528#\u5B57\u5143",SequentialParam:"\u7528\u65BC%1\u7684\u53C3\u6578\u5FC5\u9808\u4F9D\u9806\u5E8F\u7DE8\u865F",MissingReplacementString:"%1\u7684\u5B9A\u7FA9\u7F3A\u5C11\u66FF\u4EE3\u5B57\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5B9A\u7FA9",RunawayArgument:"\u6709\u7528\u65BC%1\u7684\u53C3\u6578\u4E0D\u898B\u4E86\uFF1F",NoClosingDelim:"\u5728%1\u7121\u6CD5\u627E\u5230\u7D50\u675F\u7B26\u865F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/TeX.js"); diff --git a/localization/zh-hant/zh-hant.js b/localization/zh-hant/zh-hant.js index cd3359b2fd..3969eb3ba4 100644 --- a/localization/zh-hant/zh-hant.js +++ b/localization/zh-hant/zh-hant.js @@ -16,4 +16,4 @@ * limitations under the License. */ -MathJax.Localization.addTranslation("zh-hant",null,{menuTitle:"\u6C49\u8BED",version:"2.7.5",isLoaded:true,domains:{_:{version:"2.7.5",isLoaded:true,strings:{MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u6B63\u5728\u8F09\u5165%1",Loading:"\u8F09\u5165\u4E2D\u2026",LoadFailed:"\u7121\u6CD5\u8F09\u5165\u6A94\u6848\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u8655\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathJax",ErrorTips:"\u9664\u932F\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u700F\u89BD\u5668\u63A7\u5236\u53F0\u6AA2\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/zh-hant.js"); +MathJax.Localization.addTranslation("zh-hant",null,{menuTitle:"\u6C49\u8BED",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u6B63\u5728\u8F09\u5165%1",Loading:"\u8F09\u5165\u4E2D\u2026",LoadFailed:"\u7121\u6CD5\u8F09\u5165\u6A94\u6848\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u8655\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathJax",ErrorTips:"\u9664\u932F\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u700F\u89BD\u5668\u63A7\u5236\u53F0\u6AA2\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/zh-hant.js"); diff --git a/unpacked/config/AM_CHTML-full.js b/unpacked/config/AM_CHTML-full.js index 50dcc84c13..ab7e2bbb9f 100644 --- a/unpacked/config/AM_CHTML-full.js +++ b/unpacked/config/AM_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_CHTML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_CHTML.js b/unpacked/config/AM_CHTML.js index b3d24528dc..5a4f72f38c 100644 --- a/unpacked/config/AM_CHTML.js +++ b/unpacked/config/AM_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_CHTML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_HTMLorMML-full.js b/unpacked/config/AM_HTMLorMML-full.js index 5e89cd15e0..216217f4d5 100644 --- a/unpacked/config/AM_HTMLorMML-full.js +++ b/unpacked/config/AM_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_HTMLorMML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_HTMLorMML.js b/unpacked/config/AM_HTMLorMML.js index 53c0fd0506..6259a7d2ac 100644 --- a/unpacked/config/AM_HTMLorMML.js +++ b/unpacked/config/AM_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_HTMLorMML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_SVG-full.js b/unpacked/config/AM_SVG-full.js index 23fc5a5dca..cb0635f1f3 100644 --- a/unpacked/config/AM_SVG-full.js +++ b/unpacked/config/AM_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_SVG-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/AM_SVG.js b/unpacked/config/AM_SVG.js index 4cb295b879..1ad6db95a6 100644 --- a/unpacked/config/AM_SVG.js +++ b/unpacked/config/AM_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/AM_SVG.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/Accessible-full.js b/unpacked/config/Accessible-full.js index 0de714d7db..9910e5bfa9 100644 --- a/unpacked/config/Accessible-full.js +++ b/unpacked/config/Accessible-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/Accessible-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/Accessible.js b/unpacked/config/Accessible.js index f6236ba951..efba6db551 100644 --- a/unpacked/config/Accessible.js +++ b/unpacked/config/Accessible.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/Accessible.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_CHTML-full.js b/unpacked/config/MML_CHTML-full.js index b19d5a1771..140d1990fa 100644 --- a/unpacked/config/MML_CHTML-full.js +++ b/unpacked/config/MML_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_CHTML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_CHTML.js b/unpacked/config/MML_CHTML.js index 550a2e680f..36e54337de 100644 --- a/unpacked/config/MML_CHTML.js +++ b/unpacked/config/MML_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_CHTML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_HTMLorMML-full.js b/unpacked/config/MML_HTMLorMML-full.js index 050fe6bbeb..06ac2d2801 100644 --- a/unpacked/config/MML_HTMLorMML-full.js +++ b/unpacked/config/MML_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_HTMLorMML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_HTMLorMML.js b/unpacked/config/MML_HTMLorMML.js index 29e3a58a00..d9721795de 100644 --- a/unpacked/config/MML_HTMLorMML.js +++ b/unpacked/config/MML_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_HTMLorMML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_SVG-full.js b/unpacked/config/MML_SVG-full.js index e7c7b4ed35..031c63af83 100644 --- a/unpacked/config/MML_SVG-full.js +++ b/unpacked/config/MML_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_SVG-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/MML_SVG.js b/unpacked/config/MML_SVG.js index 0e68f96177..ae1a02f963 100644 --- a/unpacked/config/MML_SVG.js +++ b/unpacked/config/MML_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/MML_SVG.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js b/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js index 2dc26aa725..a3b691528b 100644 --- a/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js +++ b/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_HTMLorMML.js b/unpacked/config/TeX-AMS-MML_HTMLorMML.js index b640cb2eab..475fbdf233 100644 --- a/unpacked/config/TeX-AMS-MML_HTMLorMML.js +++ b/unpacked/config/TeX-AMS-MML_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_HTMLorMML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_SVG-full.js b/unpacked/config/TeX-AMS-MML_SVG-full.js index 7d3a3401b5..2c2a6276b6 100644 --- a/unpacked/config/TeX-AMS-MML_SVG-full.js +++ b/unpacked/config/TeX-AMS-MML_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_SVG-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS-MML_SVG.js b/unpacked/config/TeX-AMS-MML_SVG.js index b09c48430a..885f246110 100644 --- a/unpacked/config/TeX-AMS-MML_SVG.js +++ b/unpacked/config/TeX-AMS-MML_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS-MML_SVG.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_CHTML-full.js b/unpacked/config/TeX-AMS_CHTML-full.js index 738e6ecf50..0b985a3bd0 100644 --- a/unpacked/config/TeX-AMS_CHTML-full.js +++ b/unpacked/config/TeX-AMS_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_CHTML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_CHTML.js b/unpacked/config/TeX-AMS_CHTML.js index e39d1e9ef2..57d054972f 100644 --- a/unpacked/config/TeX-AMS_CHTML.js +++ b/unpacked/config/TeX-AMS_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_CHTML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_HTML-full.js b/unpacked/config/TeX-AMS_HTML-full.js index 3c53247927..851f5b58d8 100644 --- a/unpacked/config/TeX-AMS_HTML-full.js +++ b/unpacked/config/TeX-AMS_HTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_HTML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_HTML.js b/unpacked/config/TeX-AMS_HTML.js index b546d8ed77..80e00a2907 100644 --- a/unpacked/config/TeX-AMS_HTML.js +++ b/unpacked/config/TeX-AMS_HTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_HTML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_SVG-full.js b/unpacked/config/TeX-AMS_SVG-full.js index b19ff33e21..aeba7faf81 100644 --- a/unpacked/config/TeX-AMS_SVG-full.js +++ b/unpacked/config/TeX-AMS_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_SVG-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-AMS_SVG.js b/unpacked/config/TeX-AMS_SVG.js index 006a5cd00d..847e4da4c7 100644 --- a/unpacked/config/TeX-AMS_SVG.js +++ b/unpacked/config/TeX-AMS_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-AMS_SVG.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_CHTML-full.js b/unpacked/config/TeX-MML-AM_CHTML-full.js index fea548f0dc..f521b8e099 100644 --- a/unpacked/config/TeX-MML-AM_CHTML-full.js +++ b/unpacked/config/TeX-MML-AM_CHTML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_CHTML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_CHTML.js b/unpacked/config/TeX-MML-AM_CHTML.js index bf932a4d89..8361462fea 100644 --- a/unpacked/config/TeX-MML-AM_CHTML.js +++ b/unpacked/config/TeX-MML-AM_CHTML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_CHTML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_HTMLorMML-full.js b/unpacked/config/TeX-MML-AM_HTMLorMML-full.js index e77cf71455..2c0293c558 100644 --- a/unpacked/config/TeX-MML-AM_HTMLorMML-full.js +++ b/unpacked/config/TeX-MML-AM_HTMLorMML-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_HTMLorMML-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_HTMLorMML.js b/unpacked/config/TeX-MML-AM_HTMLorMML.js index 6d60279c86..f9b5e5f7aa 100644 --- a/unpacked/config/TeX-MML-AM_HTMLorMML.js +++ b/unpacked/config/TeX-MML-AM_HTMLorMML.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_HTMLorMML.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_SVG-full.js b/unpacked/config/TeX-MML-AM_SVG-full.js index be14257d6b..66d520505c 100644 --- a/unpacked/config/TeX-MML-AM_SVG-full.js +++ b/unpacked/config/TeX-MML-AM_SVG-full.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_SVG-full.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details. diff --git a/unpacked/config/TeX-MML-AM_SVG.js b/unpacked/config/TeX-MML-AM_SVG.js index e7115214e7..83ed816d7c 100644 --- a/unpacked/config/TeX-MML-AM_SVG.js +++ b/unpacked/config/TeX-MML-AM_SVG.js @@ -2,7 +2,7 @@ * * /MathJax/unpacked/config/TeX-MML-AM_SVG.js * - * Copyright (c) 2010-2019 The MathJax Consortium + * Copyright (c) 2010-2018 The MathJax Consortium * * Part of the MathJax library. * See http://www.mathjax.org for details.